Package: gpciLindApproxProgII
Type: Package
Title: Lindley Approximation for Capability Indices under Progressive
        Censoring
Version: 0.1.0
Authors@R: c(
    person("Shikhar", "Tyagi",
           email = "shikhar1093tyagi@gmail.com",
           role = c("aut", "cre"),
           comment = c(ORCID = "0000-0003-1606-0844")),
    person("Sumit", "Kumar",
           email = "stats.sumitbhal@gmail.com",
           role = "aut"),
    person("Arvind", "Pandey",
           email = "arvindmzu@gmail.com",
           role = "aut"),
    person("Bhupendra", "Singh",
           email = "bhupendra.rana@gmail.com",
           role = "aut"),
    person("Vrijesh", "Tripathi",
           email = "vrijesh.tripathi@uwi.edu",
           role = "aut")
    )
Maintainer: Shikhar Tyagi <shikhar1093tyagi@gmail.com>
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.
License: MIT + file LICENSE
Encoding: UTF-8
RoxygenNote: 7.3.3
Depends: R (>= 4.0.0)
Imports: stats, graphics, ggplot2, numDeriv, boot, coda
Suggests: testthat (>= 3.0.0), knitr, rmarkdown
VignetteBuilder: knitr
Config/testthat/edition: 3
NeedsCompilation: no
Packaged: 2026-08-20 22:06:37 UTC; shikhar tyagi
Author: Shikhar Tyagi [aut, cre] (ORCID:
    <https://orcid.org/0000-0003-1606-0844>),
  Sumit Kumar [aut],
  Arvind Pandey [aut],
  Bhupendra Singh [aut],
  Vrijesh Tripathi [aut]
Repository: CRAN
Date/Publication: 2026-08-26 19:50:02 UTC
Built: R 4.6.0; ; 2026-08-26 22:04:17 UTC; unix
