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cff-version: 1.2.0
message: 'To cite package "gpciLindApproxProgII" in publications use:'
type: software
license: MIT
title: 'gpciLindApproxProgII: Lindley Approximation for Capability Indices under Progressive
  Censoring'
version: 0.1.1
doi: 10.32614/CRAN.package.gpciLindApproxProgII
abstract: Implements Bayesian parameter and Generalized Process Capability Indices
  (GPCIs) estimation using the Lindley approximation method (Lindley, 1980 <https://doi.org/10.2307/2345271>)
  under progressive Type-II censored data (Balakrishnan & Aggarwala, 2000 <https://doi.org/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 <https://doi.org/10.1080/16843703.2010.11673233>),
  Spmk (Dey & Saha, 2019 <https://doi.org/10.1007/s41872-019-00081-4>), CpTk (Saha
  et al., 2019 <https://doi.org/10.1007/s13198-019-00789-7>), Cpc (Saha et al., 2022
  <https://doi.org/10.1080/02664763.2021.1971632>), CNpmc (Alotaibi et al., 2022 <https://doi.org/10.1155/2022/3135264>),
  CNpmkc (Saha et al., 2024 <https://doi.org/10.1142/S021853932450013X>), CNpk (Saha
  et al., 2018 <https://doi.org/10.1080/21681015.2018.1437793>), and Vannman's Cp(u,v)
  family (Vannman, 1995 <https://doi.org/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 <https://doi.org/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 <https://doi.org/10.1080/01621459.1987.10478410>)
  at 90%, 95%, and 99% significance levels.
authors:
- family-names: Tyagi
  given-names: Shikhar
  email: shikhar1093tyagi@gmail.com
  orcid: https://orcid.org/0000-0003-1606-0844
- family-names: Kumar
  given-names: Sumit
  email: stats.sumitbhal@gmail.com
- family-names: Pandey
  given-names: Arvind
  email: arvindmzu@gmail.com
- family-names: Singh
  given-names: Bhupendra
  email: bhupendra.rana@gmail.com
- family-names: Tripathi
  given-names: Vrijesh
  email: vrijesh.tripathi@uwi.edu
repository: https://shikhartyagi.r-universe.dev
commit: 56ae31f3b5fcb41c9e6ce4681d9daa41255c73ec
date-released: '2026-08-29'
contact:
- family-names: Tyagi
  given-names: Shikhar
  email: shikhar1093tyagi@gmail.com
  orcid: https://orcid.org/0000-0003-1606-0844