gpcihybridIILinApp: Lindley Approximation for Capability Indices under Hybrid
Censoring
Provides a comprehensive framework for estimating Generalized Process
Capability Indices (GPCIs) under Hybrid Type-II censored lifetime data using
Lindley's 3rd-order approximation method (Lindley, 1980 <doi:10.2307/2345271>).
Supports user-supplied probability density/mass functions (PDF/PMF), cumulative
distribution functions (CDF), survival functions (SF), and quantile functions.
Computes Maximum Likelihood Estimates (MLE) using the 'MleCensoR' package
(Childs et al., 2003 <doi:10.1007/BF02517803>; Balakrishnan & Kundu, 2013
<doi:10.1002/nav.21545>) and Bayesian posterior expectations for classical and
non-normal capability indices, including Cpy (Maiti et al., 2010
<doi:10.1080/16843703.2010.11673233>), Spmk (Dey & Saha, 2019
<doi:10.1007/s41872-019-00081-4>), CpTk (Saha et al., 2019), Cpc (Saha et al., 2022
<doi:10.1080/02664763.2021.1971632>), CNpmc (Alotaibi et al., 2022
<doi:10.1155/2022/3135264>), CNpmkc (Saha et al., 2024 <doi:10.1142/S021853932450013X>),
CNpk (Saha et al., 2018 <doi:10.1080/21681015.2018.1437793>), and Vannman's Cp(u,v)
family. Generates posterior parameter and GPCI chains via sampling with burn-in
and thinning, calculating Bias, Mean Squared Error (MSE), Bayes Risk (SEL and Linex),
Highest Posterior Density (HPD) credible intervals at 90%, 95%, and 99% levels,
and Heidelberger and Welch's MCMC Convergence Diagnostics (Heidelberger & Welch,
1983 <doi:10.1287/opre.31.6.1109>) with convergence probabilities. Evaluates
parametric and non-parametric bootstrap confidence intervals (Percentile, Normal,
Basic, BCp, BCa) at 90%, 95%, and 99% levels of significance. Integrates
goodness-of-fit testing for Hybrid Type-II censored data via the 'gofPHCS' package.
| Version: |
0.1.0 |
| Depends: |
R (≥ 4.0.0) |
| Imports: |
stats, graphics, numDeriv, MleCensoR, gofPHCS |
| Suggests: |
testthat (≥ 3.0.0), knitr, rmarkdown |
| Published: |
2026-08-21 |
| DOI: |
10.32614/CRAN.package.gpcihybridIILinApp (may not be active yet) |
| Author: |
Shikhar Tyagi 
[aut, cre],
Sumit Kumar [aut],
Arvind Pandey [aut],
Bhupendra Singh [aut],
Vrijesh Tripathi [aut] |
| Maintainer: |
Shikhar Tyagi <shikhar1093tyagi at gmail.com> |
| License: |
MIT + file LICENSE |
| NeedsCompilation: |
no |
| CRAN checks: |
gpcihybridIILinApp results |
Documentation:
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