Random Sampling of k-th Order Statistics from a Beta Extended G Distribution

Description

order_beg is used to obtain a random sample of the k-th order statistic from a Beta Extended G distribution.

Usage

order_beg(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Beta Extended G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Beta Extented Exponential Distribution
order_beg(10,"exp",a=1,b=1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from a Beta Extented Normal Distribution
order_beg(10,"norm",1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from a Beta Extented Log-normal Distribution
order_beg(10,"lnorm",1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from a Beta Extented Chis-square Distribution
order_beg(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)

Random Sampling of k-th Order Statistics from a Benini Distribution

Description

order_benini is used to obtain a random sample of the k-th order statistic from a Benini distribution and some associated quantities of interest.

Usage

order_benini(size, k, shape1, scale, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Benini Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Kleiber, C. and Kotz, S. (2003). Statistical Size Distributions in Economics and Actuarial Sciences, Hoboken, NJ, USA: Wiley-Interscience.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Benini Distribution
order_benini(size=10,shape1=0.75,scale=1,k=3,n=50,p=0.5,alpha=0.02)

Random Sampling of k-th Order Statistics from a Beta Exponential G Distribution

Description

order_betaexpg is used to obtain a random sample of the k-th order statistic from a Beta Exponential G Distribution.

Usage

order_betaexpg(size, spec, lambda, a, b, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Beta Exponential G Distribution and the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from
# a Beta Exponential Exponential Distribution
order_betaexpg(10,"exp",1,1,1,k=3,50,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from
# a Beta Exponential Normal Distribution
order_betaexpg(10,"norm",1,1,1,k=3,50)
# A sample of size 10 of the 3-th order statistics from
# a Beta Exponential Log-normal Distribution
order_betaexpg(10,"lnorm",1,1,1,k=3,50)
# A sample of size 10 of the 3-th order statistics from
# a Beta Exponential Chi-square Distribution
order_betaexpg(10,"chisq",1,1,1,k=3,50,df=3)

Random Sampling of k-th Order Statistics from a Beta G Distribution

Description

order_betag is used to obtain a random sample of the k-th order statistic from a Beta G distribution.

Usage

order_betag(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Beta G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Beta Exponential Distribution
order_betag(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from a Beta Normal Distribution
order_betag(10,"norm",1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from a Beta Log-normal Distribution
order_betag(10,"lnorm",1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from a Beta Chis-square Distribution
order_betag(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)

Random Sampling of k-th Order Statistics from a Burr Distribution

Description

order_burr is used to obtain a random sample of the k-th order statistic from a Burr distribution and some associated quantities of interest.

Usage

order_burr(size, k, shape1, shape2, scale, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Burr Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Klugman, S. A., Panjer, H. H. and Willmot, G. E. (2012), Loss Models, From Data to Decisions, Fourth Edition, Wiley.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Burr Distribution
order_burr(size=10,shape1=0.75,shape2=1,scale=0.5,k=3,n=50,p=0.5,alpha=0.02)

Random Sampling of k-th Order Statistics from a Dagum Distribution

Description

order_dagum is used to obtain a random sample of the k-th order statistic from a Dagum distribution and some associated quantities of interest.

Usage

order_dagum(size, k, shape1, shape2, scale, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Dagum Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Kleiber, C. and Kotz, S. (2003). Statistical Size Distributions in Economics and Actuarial Sciences, Hoboken, NJ, USA: Wiley-Interscience.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Dagum Distribution
order_dagum(size=10,shape1=1,shape2=2,scale=1,k=3,n=50,p=0.5,alpha=0.02)

Random Sampling of k-th Order Statistics from a Exponentiated Exponential Poisson G Distribution

Description

order_eepg is used to obtain a random sample of the k-th order statistic from a Exponentiated Exponential Poisson G Distribution.

Usage

order_eepg(size, spec, lambda, a, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Exponentiated Exponential Poisson G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from
# a Exponentiated Exponential Poisson Exponential Distribution
order_eepg(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from
# a Exponentiated Exponential Poisson Normal Distribution
order_eepg(10,"norm",1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from
# a Exponentiated Exponential Poisson Log-normal Distribution
order_eepg(10,"lnorm",1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from
# a Exponentiated Exponential Poisson Chi-square Distribution
order_eepg(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)

Random Sampling of k-th Order Statistics from a Exponentiated Generalized G Distribution

Description

order_eg is used to obtain a random sample of k-th order order statistic from a Exponentiated Generalized G Distribution.

Usage

order_eg(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Exponentiated Generalized G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from
# a Exponentiated Generalized Exponential Distribution
order_eg(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from
# a Exponentiated Generalized Normal Distribution
order_eg(10,"norm",1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from
# a Exponentiated Generalized Log-normal Distribution
order_eg(10,"lnorm",1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from
# a Exponentiated Generalized Chi-square Distribution
order_eg(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)

Random Sampling of k-th Order Statistics from a Exponentiated G Distribution

Description

order_expg is used to obtain a random sample of the k-th order statistic from a Exponentiated G Distribution.

Usage

order_expg(size, spec, a, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Exponentiated G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Exponentiated Exponential Distribution
order_expg(10,"exp",1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from a Exponentiated Normal Distribution
order_expg(10,"norm",1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from a Exponentiated Log-normal Distribution
order_expg(10,"lnorm",1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from a Exponentiated Chi-square Distribution
order_expg(10,"chisq",1,k=3,n=50,p=0.5,df=3)

Random Sampling of k-th Order Statistics from a Exponentiated Kumaraswamy G Distribution

Description

order_expkumg is used to obtain a random sample of the k-th order statistic from a Exponentiated Kumaraswamy G distribution.

Usage

order_expkumg(size, spec, a, b, c, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Exponentiated Kumaraswamy G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from
# a Exponentiated Kumaraswamy Exponential Distribution
order_expkumg(10,"exp",1,1,1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from
# a Exponentiated Kumaraswamy Normal Distribution
order_expkumg(10,"norm",1,1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from
# a Exponentiated Kumaraswamy Log-normal Distribution
order_expkumg(10,"lnorm",1,1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from
# a Exponentiated Kumaraswamy Chi-square Distribution
order_expkumg(10,"chisq",1,1,1,k=3,n=50,p=0.5,df=3)

Random Sampling of k-th Order Statistics from a Feller-Pareto Distribution

Description

order_fellerpareto is used to obtain a random sample of the k-th order statistic from a Feller-Pareto distribution and some associated quantities of interest.

Usage

order_fellerpareto(
  size,
  k,
  min,
  shape1,
  shape2,
  shape3,
  scale,
  n,
  p = 0.5,
  alpha = 0.05,
  ...
)

Arguments

Value

A list with a random sample of order statistics from a Feller-Pareto Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Klugman, S. A., Panjer, H. H. and Willmot, G. E. (2012), Loss Models, From Data to Decisions, Fourth Edition, Wiley.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Feller-Pareto Distribution
order_fellerpareto(size=10,
                   min=0.5,shape1=0.75,shape2=1,shape3=1.25,scale=0.5,k=3,n=50,p=0.5,alpha=0.02)

Random Sampling of k-th Order Statistics from a Gamma Uniform G Distribution

Description

order_gammag is used to obtain a random sample of the k-th order statistic from a Gamma Uniform G distribution.

Usage

order_gammag(size, spec, a, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Gamma Uniform G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Gamma Uniform Exponential Distribution
order_gammag(10,"exp",1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from a Gamma Uniform Normal Distribution
order_gammag(10,"norm",1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from a Gamma Uniform Log-normal Distribution
order_gammag(10,"lnorm",1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from a Gamma Uniform Chi-square Distribution
order_gammag(10,"chisq",1,k=3,n=50,p=0.5,df=3)

Random Sampling of k-th Order Statistics from a Gamma G I Distribution

Description

order_gammag1 is used to obtain a random sample of the k-th order statistic from a Gamma G I distribution and some associated quantities of interest.

Usage

order_gammag1(size, spec, a, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Gamma G I Distribution, the value of its join probability density function evaluated in the random sample and and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Gamma Exponential I Distribution
order_gammag1(10,"exp",1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from a Gamma Normal I Distribution
order_gammag1(10,"norm",1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from a Gamma Log-normal I Distribution
order_gammag1(10,"lnorm",1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from a Gamma Chi-square I Distribution
order_gammag1(10,"chisq",1,k=3,n=50,p=0.5,df=3)

Random Sampling of k-th Order Statistics from a Gamma G II Distribution

Description

order_gammag2 is used to obtain a random sample of the k-th order statistic from a Gamma G II Distribution and some associated quantities of interest.

Usage

order_gammag2(size, spec, a, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Gamma G II Distribution, the value of its join probability density function evaluated in the random sample and and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Gamma Exponential II Distribution
order_gammag2(10,"exp",1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from a Gamma Normal II Distribution
order_gammag2(10,"norm",1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from a Gamma Log-normal II Distribution
order_gammag2(10,"lnorm",1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from a Gamma Chi-square II Distribution
order_gammag2(10,"chisq",1,k=3,n=50,p=0.5,df=3)

Random Sampling of k-th Order Statistics from a Generalized Beta G Distribution

Description

order_gbg is used to obtain a random sample of the k-th order statistic from a Generalized Beta G distribution and some associated quantities of interest.

Usage

order_gbg(size, spec, a, b, c, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Generalized Beta G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from
# a Generalized Beta Exponential Distribution
order_gbg(10,"exp",1,1,1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from
# a Generalized Beta Normal Distribution
order_gbg(10,"norm",1,1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from
# a Generalized Beta Log-normal Distribution
order_gbg(10,"lnorm",1,1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from
# a Generalized  Beta Chi-square Distribution
order_gbg(10,"chisq",1,1,1,k=3,n=50,p=0.5,df=3)

Random Sampling of k-th Order Statistics from a Generalized Pareto Distribution

Description

order_gpareto is used to obtain a random sample of the k-th order statistic from a Generalized Pareto distribution and some associated quantities of interest.

Usage

order_gpareto(size, k, shape1, shape2, scale, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Generalized Pareto Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Klugman, S. A., Panjer, H. H. and Willmot, G. E. (2012), Loss Models, From Data to Decisions, Fourth Edition, Wiley.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Generalized Pareto Distribution
order_gpareto(size=10,shape1=0.75,shape2=1,scale=0.5,k=3,n=50,p=0.5,alpha=0.02)

Random Sampling of k-th Order Statistics from a Inverse Pareto Distribution

Description

order_invpareto is used to obtain a random sample of the k-th order statistic from a Inverse Pareto distribution and some associated quantities of interest.

Usage

order_invpareto(size, k, shape1, scale, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Inverse Pareto Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Klugman, S. A., Panjer, H. H. and Willmot, G. E. (2012), Loss Models, From Data to Decisions, Fourth Edition, Wiley.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Inverse Pareto Distribution
order_invpareto(size=10,shape1=0.75,scale=0.5,k=3,n=50,p=0.5,alpha=0.02)

Random Sampling of k-th Order Statistics from a Inverse Paralogistic Distribution

Description

order_iparalogistic is used to obtain a random sample of the k-th order statistic from a Inverse Paralogistic distribution and some associated quantities of interest.

Usage

order_iparalogistic(size, k, shape, scale, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Inverse Paralogistic Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Klugman, S. A., Panjer, H. H. and Willmot, G. E. (2012), Loss Models, From Data to Decisions, Fourth Edition, Wiley.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Inverse Paralogistic Distribution
order_iparalogistic(size=10,shape=1.5,scale=0.5,k=3,n=50,p=0.5,alpha=0.02)

Random Sampling of k-th Order Statistics from a Kumaraswamy G Distribution

Description

order_expkumg is used to obtain a random sample of he k-th order statistic from a Kumaraswamy G distribution.

Usage

order_kumg(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Kumaraswamy G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from
# a Kumaraswamy Exponential Distribution
order_kumg(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from
# a Kumaraswamy Normal Distribution
order_kumg(10,"norm",1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from
# a Kumaraswamy Log-normal Distribution
order_kumg(10,"lnorm",1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from
# a Kumaraswamy Chi-square Distribution
order_kumg(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)

Random Sampling of k-th Order Statistics from a Log Gamma G I Distribution

Description

order_loggammag1 is used to obtain a random sample of the k-th order statistic from a Log Gamma G I distribution and some associated quantities of interest.

Usage

order_loggammag1(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Log Gamma G I Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from
# a Log Gamma Exponential I Distribution
order_loggammag1(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from
# a Log Gamma Normal I Distribution
order_loggammag1(10,"norm",1,1,k=3,n=50,p=0.5,)
# A sample of size 10 of the 3-th order statistics from
# a Log Gamma Log-normal I Distribution
order_loggammag1(10,"lnorm",1,1,k=3,n=50,p=0.5,)
# A sample of size 10 of the 3-th order statistics from
# a Log Gamma Chi-square I Distribution
order_loggammag1(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)

Random Sampling of k-th Order Statistics from a Log Gamma G II Distribution

Description

order_loggammag2 is used to obtain a random sample of the k-th order statistic from a Log Gamma G II distribution.

Usage

order_loggammag2(size, spec, a, b, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Log Gamma G II Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from
# a Log Gamma Exponential II Distribution
order_loggammag2(10,"exp",1,1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from
# a Log Gamma Normal II Distribution
order_loggammag2(10,"norm",1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from
# a Log Gamma Log-normal II Distribution
order_loggammag2(10,"lnorm",1,1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from
# a Log Gamma Chi-square II Distribution
order_loggammag2(10,"chisq",1,1,k=3,n=50,p=0.5,df=3)

Random Sampling of k-th Order Statistics from a Modified Beta G Distribution

Description

order_mbetag is used to obtain a random sample of k-th order statistic from a Modified Beta G distribution.

Usage

order_mbetag(size, spec, beta, a, b, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Modified Beta G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from
# a Modified Beta Exponential Distribution
order_mbetag(10,"exp",1,1,1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from
# a Modified Beta Normal Distribution
order_mbetag(10,"norm",1,1,1,k=3,n=50,p=0.5,)
# A sample of size 10 of the 3-th order statistics from
# a Modified Beta Log-normal Distribution
order_mbetag(10,"lnorm",1,1,1,k=3,n=50,p=0.5)

Random Sampling of k-th Order Statistics from a Marshall Olkin G Distribution

Description

order_mog is used to obtain a random sample of k-th order statistic from a Marshall Olkin G distribution.

Usage

order_mog(size, spec, beta, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Marshall Olkin G Distribution, the value of its join probability density function evaluated in the random sample and an approximate 100(1 - alpha) confidence interval for the population percentile p of the distribution of the K-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from
# a Marshall Olkin Exponential Distribution
order_mog(10,"exp",p=0.5,1,k=3,50,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from
# a Marshall Olkin Normal Distribution
order_mog(10,"norm",p=0.5,1,k=3,50)
# A sample of size 10 of the 3-th order statistics from
# a Marshall Olkin Log-normal Distribution
order_mog(10,"lnorm",p=0.5,1,k=3,50)

Random Sampling of k-th Order Statistics from a Poisson-inverse Gaussian Distribution

Description

order_pig is used to obtain a random sample of the k-th order statistic from a Poisson-inverse Gaussian distribution and some associated quantities of interest.

Usage

order_pig(size, k, mu, sigma, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Poisson-inverse Gaussian Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Ribgy, R. and Stasinopoulos, M. (2005) Generalized Additive Models for Location Scale and Shape, Journal of the Royal Statistical Society. Applied Statistics, Series C.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Poisson-inverse Gaussian Distribution
# order_pig(size=20,k=5,mu=6,sigma=1,n=30,p=0.5,alpha=0.02)

Random Sampling of k-th Order Statistics from a Sichel Distribution

Description

order_sichel is used to obtain a random sample of the k-th order statistic from a Sichel distribution and some associated quantities of interest.

Usage

order_sichel(size, k, mu, sigma, nu, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Sichel Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Ribgy, R. and Stasinopoulos, M. (2005) Generalized Additive Models for Location Scale and Shape, Journal of the Royal Statistical Society. Applied Statistics, Series C.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Sichel Distribution
# order_sichel(size=20,k=5,mu=5,sigma=1,nu=1,n=30,p=0.5,alpha=0.02)

Random Sampling of k-th Order Statistics from a Sinh-Arcsinh Distribution

Description

order_sinharcsinh is used to obtain a random sample of the k-th order statistic from a Sinh-Arcsinh Distribution and some associated quantities of interest.

Usage

order_sinharcsinh(size, k, mu, sigma, nu, tau, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Sinh-Arcsinh Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Ribgy, R. and Stasinopoulos, M. (2005) Generalized Additive Models for Location Scale and Shape, Journal of the Royal Statistical Society. Applied Statistics, Series C.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Sinh-Arcsinh Distribution
order_sinharcsinh(size=10,k=3,mu=0,sigma=1,nu=1,tau=2,n=30,p=0.5,alpha=0.02)

Random Sampling of k-th Order Statistics from a Singh-Maddala Distribution

Description

order_sm is used to obtain a random sample of the k-th order statistic from a Singh-Maddala distribution and some associated quantities of interest.

Usage

order_sm(size, k, shape1, shape2, scale, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Singh-Maddala Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Kleiber, C. and Kotz, S. (2003). Statistical Size Distributions in Economics and Actuarial Sciences, Hoboken, NJ, USA: Wiley-Interscience.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Singh-Maddala Distribution
order_sm(size=10,shape1=1,shape2=2,scale=1,k=3,n=50,p=0.5,alpha=0.02)

Random Sampling of k-th Order Statistics from a Skew normal type 1 Distribution

Description

order_snormal1 is used to obtain a random sample of the k-th order statistic from a Skew normal type 1 distribution and some associated quantities of interest.

Usage

order_snormal1(size, k, mu, sigma, nu, tau, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Skew normal type 1 Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Ribgy, R. and Stasinopoulos, M. (2005) Generalized Additive Models for Location Scale and Shape, Journal of the Royal Statistical Society. Applied Statistics, Series C.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Skew normal type 1 Distribution
order_snormal1(size=10,mu=0,sigma=1,nu=0,tau=2,k=3,n=50,p=0.5,alpha=0.02)

Random Sampling of k-th Order Statistics from a Skew student t Distribution

Description

order_sstudentt is used to obtain a random sample of the k-th order statistic from a Skew student t distribution and some associated quantities of interest.

Usage

order_sstudentt(size, k, mu, sigma, nu, tau, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Skew student t Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Ribgy, R. and Stasinopoulos, M. (2005) Generalized Additive Models for Location Scale and Shape, Journal of the Royal Statistical Society: Applied Statistics.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Skew student t Distribution
order_sstudentt(size=10,k=3,mu=0,sigma=1,nu=0,tau=2,n=30,p=0.5,alpha=0.02)

Random Sampling of k-th Order Statistics from a Truncated-Exponential Skew-Symmetric G Distribution

Description

order_tessg is used to obtain a random sample of the k-th order statistic from a Truncated-Exponential Skew-Symmetric G distribution.

Usage

order_tessg(size, spec, lambda, k, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Truncated-Exponential Skew-Symmetric G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from
# a Truncated-Exponential Skew-Symmetric Exponential Distribution
order_tessg(10,"exp",1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from
# a Truncated-Exponential Skew-Symmetric Normal Distribution
order_tessg(10,"norm",1,k=3,n=50,p=0.5,)
# A sample of size 10 of the 3-th order statistics from
# a Truncated-Exponential Skew-Symmetric Log-normal Distribution
order_tessg(10,"lnorm",1,k=3,n=50,p=0.5,)
# A sample of size 10 of the 3-th order statistics from
# a Truncated-Exponential Skew-Symmetric Chi-square Distribution
order_tessg(10,"chisq",1,k=3,n=50,p=0.5,df=3)

Random Sampling of k-th Order Statistics from a Weibull G Distribution

Description

order_weibullg is used to obtain a random sample of the k-th order statistic from a Weibull G distribution.

Usage

order_weibullg(size, spec, beta, c, k, n, p = 0.5, alpha = 0.02, ...)

Arguments

Value

A list with a random sample of order statistics from a Weibull G Distribution, the value of its join probability density function evaluated in the random sample and an approximate (1 - alpha) confidence interval for the population percentile p of the distribution of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Naradajah, S. and Rocha, R. (2016) Newdistns: An R Package for New Families of Distributions, Journal of Statistical Software.

Examples

library(orders)
# A sample of size 10 of the 3-th order statistics from a Weibull Exponential Distribution
order_weibullg(10,"exp",beta=1,c=1,k=3,n=50,p=0.5,alpha=0.02)
# A sample of size 10 of the 3-th order statistics from a Weibull Normal Distribution
order_weibullg(10,"norm",beta=1,c=1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from a Weibull Log-normal Distribution
order_weibullg(10,"lnorm",beta=1,c=1,k=3,n=50,p=0.5)
# A sample of size 10 of the 3-th order statistics from a Weibull Chi-square Distribution
order_weibullg(10,"chisq",beta=1,c=1,k=3,n=50,p=0.5,df=3)

Random Sampling of k-th Order Statistics from a Zero Inflated Poisson Distribution

Description

order_zip is used to obtain a random sample of the k-th order statistic from a Zero Inflated Poisson distribution and some associated quantities of interest.

Usage

order_zip(size, k, mu, sigma, n, p = 0.5, alpha = 0.05, ...)

Arguments

Value

A list with a random sample of order statistics from a Zero Inflated Poisson Distribution, the value of its join probability density function evaluated in the random sample and and an approximate (1 - alpha) confidence interval for the population percentile p of the k-th order statistic.

Author(s)

Carlos Alberto Cardozo Delgado <cardozorpackages@gmail.com>.

References

Gentle, J, Computational Statistics, First Edition. Springer - Verlag, 2009.

Ribgy, R. and Stasinopoulos, M. (2005) Generalized Additive Models for Location Scale and Shape, Journal of the Royal Statistical Society. Applied Statistics, Series C.

Examples

library(orders)
# A sample of size 20 of the 5-th order statistics from a Zero Inflated Poisson Distribution
#order_zip(size=10,k=5,mu=5,sigma=0.1,n=30,p=0.5)