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gpciLindApproxProgII  

Lindley Approximation for Capability Indices under Progressive Censoring
View on CRAN: Click here


Download and install gpciLindApproxProgII package within the R console
Install from CRAN:
install.packages("gpciLindApproxProgII")

Install from Github:
library("remotes")
install_github("cran/gpciLindApproxProgII")

Install by package version:
library("remotes")
install_version("gpciLindApproxProgII", "0.1.1")



Attach the package and use:
library("gpciLindApproxProgII")
Maintained by
Shikhar Tyagi
[Scholar Profile | Author Map]
All associated links for this package
First Published: 2026-08-28
Latest Update: 2026-09-17
Description:
Implements Bayesian parameter and Generalized Process Capability Indices (GPCIs) estimation using the Lindley approximation method (Lindley, 1980 <doi:10.2307/2345271>) under progressive Type-II censored data (Balakrishnan & Aggarwala, 2000 <doi:10.1007/978-1-4612-1334-5>). Evaluates point estimates and 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 (Vannman, 1995 <doi:10.1111/j.1467-9574.1995.tb01472.x>). Calculates point estimates, bias, mean squared error (MSE), Bayes risk under Linex and squared error loss, 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. Accommodates user-defined probability density/mass functions, cumulative distribution functions, and survival functions. Supports progressive parametric and non-parametric bootstrap confidence intervals (Efron, 1987 <doi:10.1080/01621459.1987.10478410>) at 90%, 95%, and 99% significance levels.
How to cite:
Shikhar Tyagi (2026). gpciLindApproxProgII: Lindley Approximation for Capability Indices under Progressive Censoring. R package version 0.1.1, https://cran.r-project.org/web/packages/gpciLindApproxProgII. Accessed 24 Oct. 2026.
Previous versions and publish date:
(2026-08-28 23:31), 0.1.0 (2026-08-26 21:50)
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