---
title: "Statistical Methods for the Sujatha Distribution"
author: "Hosenur Rahman Prodhani"
date: "`r Sys.Date()`"
output: rmarkdown::html_vignette
vignette: >
  %\VignetteIndexEntry{An Introduction to the SujathaDist Package}
  %\VignetteEngine{knitr::rmarkdown}
  \usepackage[utf8]{inputenc}
---

```{r setup, include = FALSE}
library(SujathaDist)
set.seed(123)
```

1 Introduction

The Sujatha distribution, introduced by Shanker (2016), is a one-parameter lifetime distribution that has been successfully applied to lifetime, reliability, biological and engineering data. The SujathaDist package provides computational tools for distributional analysis, random number generation, parameter estimation and goodness-of-fit assessment.

2 Installation
install.packages("remotes")

remotes::install_github("hosenur72/SujathaDist")

3 Loading the package
library(SujathaDist)

4 Distribution functions

Explain

Density
Distribution
Quantile
Random generation

Example

theta <- 2

dsujatha(1, theta)

psujatha(1, theta)

qsujatha(.5, theta)

rsujatha(10, theta)

5 Visualization

Include plots such as:

curve(dsujatha(x,2),
      from=0,
      to=10,
      lwd=2)

and

curve(psujatha(x,2),
      from=0,
      to=10,
      lwd=2)
      
6 Random sample generation
set.seed(123)

x <- rsujatha(1000,2)

summary(x)
7 Parameter estimation
fit <- fitsujatha(x)

summary(fit)

Explain:

estimate
standard error
confidence interval

8 Goodness-of-fit
gofsujatha(fit)

Discuss:

Log-likelihood
AIC
BIC
KS statistic
p-value

9 Complete example

Provide a workflow from simulation to model fitting:

set.seed(123)

x <- rsujatha(100)

fit <- fitsujatha(x)

summary(fit)

gofsujatha(fit)

10 References

Include:

Prodhani, H. R. (2026). SujathaDist: Statistical Methods for the Sujatha Distribution. R package version 1.0.0.
Shanker, R. (2016). Sujatha Distribution and its Applications. Statistics in Transition New Series, 17(3), 391–410.