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GammaFrailtySPC: Statistical Process Control Based on Gamma-Frailty AFT Models

Implements statistical process control ('SPC') monitoring schemes for heterogeneous reliability observations using Accelerated Failure Time ('AFT') models integrated with continuous gamma frailty. It accommodates both uncensored and right-censored reliability observations in the presence of observed and unobserved covariates. Provides Phase I maximum likelihood estimation of Weibull 'AFT' gamma frailty model parameters, and Phase II monitoring procedures including probability-limits-based control charts, exponentially weighted moving average ('EWMA') charts with conditional expected values, and likelihood-ratio cumulative sum ('CUSUM') control charts. Competing 'CUSUM' schemes (ignoring unobserved frailty or both covariates) and Average Run Length ('ARL') simulation utilities are also provided. The statistical methodology is based on Asadzadeh (2022) <doi:10.1080/00949655.2021.1959582>.

Version: 0.1.0
Depends: R (≥ 4.0.0)
Imports: maxLik, survival, stats, graphics, grDevices, utils
Suggests: testthat (≥ 3.0.0), knitr, rmarkdown
Published: 2026-08-08
DOI: 10.32614/CRAN.package.GammaFrailtySPC
Author: Shikhar Tyagi ORCID iD [aut, cre], Arvind Pandey [aut], Bhupendra Singh [aut], Vrijesh Tripathi [aut]
Maintainer: Shikhar Tyagi <shikhar1093tyagi at gmail.com>
License: GPL-3
NeedsCompilation: no
Language: en-US
CRAN checks: GammaFrailtySPC results

Documentation:

Reference manual: GammaFrailtySPC.html , GammaFrailtySPC.pdf
Vignettes: Statistical Process Control Based on Gamma-Frailty AFT Models (source, R code)

Downloads:

Package source: GammaFrailtySPC_0.1.0.tar.gz
Windows binaries: r-devel: not available, r-release: GammaFrailtySPC_0.1.0.zip, r-oldrel: GammaFrailtySPC_0.1.0.zip
macOS binaries: r-release (arm64): GammaFrailtySPC_0.1.0.tgz, r-oldrel (arm64): GammaFrailtySPC_0.1.0.tgz, r-release (x86_64): GammaFrailtySPC_0.1.0.tgz, r-oldrel (x86_64): GammaFrailtySPC_0.1.0.tgz

Linking:

Please use the canonical form https://CRAN.R-project.org/package=GammaFrailtySPC to link to this page.

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.
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