{
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  "Package": "gpcihybridIILinApp",
  "Type": "Package",
  "Title": "Lindley Approximation for Capability Indices under Hybrid\nCensoring",
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  "Authors@R": "c(\nperson(\"Shikhar\", \"Tyagi\",\nemail = \"shikhar1093tyagi@gmail.com\",\nrole = c(\"aut\", \"cre\"),\ncomment = c(ORCID = \"0000-0003-1606-0844\")),\nperson(\"Sumit\", \"Kumar\",\nemail = \"stats.sumitbhal@gmail.com\",\nrole = \"aut\"),\nperson(\"Arvind\", \"Pandey\",\nemail = \"arvindmzu@gmail.com\",\nrole = \"aut\"),\nperson(\"Bhupendra\", \"Singh\",\nemail = \"bhupendra.rana@gmail.com\",\nrole = \"aut\"),\nperson(\"Vrijesh\", \"Tripathi\",\nemail = \"vrijesh.tripathi@uwi.edu\",\nrole = \"aut\")\n)",
  "Description": "Provides a comprehensive framework for estimating\nGeneralized Process Capability Indices (GPCIs) under Hybrid\nType-II censored lifetime data using Lindley's 3rd-order\napproximation method (Lindley, 1980 <doi:10.2307/2345271>).\nSupports user-supplied probability density/mass functions\n(PDF/PMF), cumulative distribution functions (CDF), survival\nfunctions (SF), and quantile functions. Computes Maximum\nLikelihood Estimates (MLE) using the 'MleCensoR' package\n(Childs et al., 2003 <doi:10.1007/BF02517803>; Balakrishnan &\nKundu, 2013 <doi:10.1002/nav.21545>) and Bayesian posterior\nexpectations for classical and non-normal capability indices,\nincluding Cpy (Maiti et al., 2010\n<doi:10.1080/16843703.2010.11673233>), Spmk (Dey & Saha, 2019\n<doi:10.1007/s41872-019-00081-4>), CpTk (Saha et al., 2019),\nCpc (Saha et al., 2022 <doi:10.1080/02664763.2021.1971632>),\nCNpmc (Alotaibi et al., 2022 <doi:10.1155/2022/3135264>),\nCNpmkc (Saha et al., 2024 <doi:10.1142/S021853932450013X>),\nCNpk (Saha et al., 2018 <doi:10.1080/21681015.2018.1437793>),\nand Vannman's Cp(u,v) family. Generates posterior parameter and\nGPCI chains via sampling with burn-in and thinning, calculating\nBias, Mean Squared Error (MSE), Bayes Risk (SEL and Linex),\nHighest Posterior Density (HPD) credible intervals at 90%, 95%,\nand 99% levels, and Heidelberger and Welch's MCMC Convergence\nDiagnostics (Heidelberger & Welch, 1983\n<doi:10.1287/opre.31.6.1109>) with convergence probabilities.\nEvaluates parametric and non-parametric bootstrap confidence\nintervals (Percentile, Normal, Basic, BCp, BCa) at 90%, 95%,\nand 99% levels of significance. Integrates goodness-of-fit\ntesting for Hybrid Type-II censored data via the 'gofPHCS'\npackage.",
  "License": "MIT + file LICENSE",
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  "Author": "Shikhar Tyagi [aut, cre] (ORCID:\n<https://orcid.org/0000-0003-1606-0844>), Sumit Kumar [aut],\nArvind Pandey [aut], Bhupendra Singh [aut], Vrijesh Tripathi\n[aut]",
  "Maintainer": "Shikhar Tyagi <shikhar1093tyagi@gmail.com>",
  "Repository": "https://shikhartyagi.r-universe.dev",
  "Date/Publication": "2026-08-21 13:00:20 UTC",
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  "_exports": [
    "boot_ci_hybrid2",
    "bootstrap_gpci_hybrid2",
    "bootstrap_hybrid2_gpci",
    "capability",
    "capability_hybrid2",
    "compute_theoretical_moments_hybrid2",
    "define_distribution",
    "define_distribution_hybrid2",
    "dist_exponential",
    "dist_gamma",
    "dist_logistic",
    "dist_loglogistic",
    "dist_lognormal",
    "dist_normal",
    "dist_weibull",
    "fit_distribution_hybrid2",
    "fit_hybrid2",
    "gof_test",
    "gof_test_hybrid2",
    "gpci_dist_hybrid2",
    "gpci_fit_hybrid2",
    "gpci_fit_hybrid2_dist",
    "gpci_index_hybrid2",
    "gpci_lindley_hybrid2",
    "gpcihybridIILinApp",
    "heidelberger_welch",
    "hpd_interval",
    "lindley_approx_hybrid2",
    "lindley_gpci_hybrid2"
  ],
  "_help": [
    {
      "page": "bootstrap_hybrid2_gpci",
      "title": "Parametric and Non-Parametric Bootstrap Confidence Intervals under Hybrid Type-II Censoring",
      "topics": [
        "bootstrap_gpci_hybrid2",
        "bootstrap_hybrid2_gpci",
        "boot_ci_hybrid2"
      ]
    },
    {
      "page": "capability_hybrid2",
      "title": "Compute Process Capability Indices under Hybrid Type-II Censored Data",
      "topics": [
        "capability",
        "capability_hybrid2",
        "gpci_fit_hybrid2"
      ]
    },
    {
      "page": "coef.gpcifit_hybrid2",
      "title": "Coef Method for gpcifit_hybrid2",
      "topics": [
        "coef.gpcifit_hybrid2"
      ]
    },
    {
      "page": "compute_theoretical_moments_hybrid2",
      "title": "Compute Theoretical Moments for a Process Distribution",
      "topics": [
        "compute_theoretical_moments_hybrid2"
      ]
    },
    {
      "page": "define_distribution_hybrid2",
      "title": "Define a Process Distribution for Hybrid Type-II Censored Data",
      "topics": [
        "define_distribution",
        "define_distribution_hybrid2",
        "gpci_dist_hybrid2"
      ]
    },
    {
      "page": "dist_exponential",
      "title": "Exponential Distribution Constructor",
      "topics": [
        "dist_exponential"
      ]
    },
    {
      "page": "dist_gamma",
      "title": "Gamma Distribution Constructor",
      "topics": [
        "dist_gamma"
      ]
    },
    {
      "page": "dist_logistic",
      "title": "Logistic Distribution Constructor",
      "topics": [
        "dist_logistic"
      ]
    },
    {
      "page": "dist_loglogistic",
      "title": "Log-Logistic Distribution Constructor",
      "topics": [
        "dist_loglogistic"
      ]
    },
    {
      "page": "dist_lognormal",
      "title": "Lognormal Distribution Constructor",
      "topics": [
        "dist_lognormal"
      ]
    },
    {
      "page": "dist_normal",
      "title": "Normal Distribution Constructor",
      "topics": [
        "dist_normal"
      ]
    },
    {
      "page": "dist_weibull",
      "title": "Weibull Distribution Constructor",
      "topics": [
        "dist_weibull"
      ]
    },
    {
      "page": "fit_distribution_hybrid2",
      "title": "Parameter Estimation for Hybrid Type-II Censored Data using MleCensoR",
      "topics": [
        "fit_distribution_hybrid2",
        "fit_hybrid2",
        "gpci_fit_hybrid2_dist"
      ]
    },
    {
      "page": "gof_test_hybrid2",
      "title": "Goodness-of-Fit Testing for Hybrid Type-II Censored Data using gofPHCS",
      "topics": [
        "gof_test",
        "gof_test_hybrid2"
      ]
    },
    {
      "page": "gpci_index_hybrid2",
      "title": "Extract a Specific Capability Index",
      "topics": [
        "gpci_index_hybrid2"
      ]
    },
    {
      "page": "gpci_lindley_hybrid2",
      "title": "High-Level User Interface Function for Hybrid Type-II Lindley Approximation GPCI Analysis",
      "topics": [
        "gpcihybridIILinApp",
        "gpci_lindley_hybrid2"
      ]
    },
    {
      "page": "heidelberger_welch",
      "title": "Heidelberger and Welch's MCMC Convergence Diagnostic",
      "topics": [
        "heidelberger_welch"
      ]
    },
    {
      "page": "hpd_interval",
      "title": "Highest Posterior Density (HPD) Interval Calculation",
      "topics": [
        "hpd_interval"
      ]
    },
    {
      "page": "lindley_approx_hybrid2",
      "title": "Lindley Approximation Method for Parameter and GPCI Bayesian Estimation under Hybrid Type-II Censoring",
      "topics": [
        "lindley_approx_hybrid2"
      ]
    },
    {
      "page": "lindley_gpci_hybrid2",
      "title": "Lindley Approximation MCMC-Style Chain Generator for GPCIs under Hybrid Type-II Censoring",
      "topics": [
        "lindley_gpci_hybrid2"
      ]
    },
    {
      "page": "plot.gpciBootstrapHybrid2",
      "title": "Plot Method for gpciBootstrapHybrid2 Objects",
      "topics": [
        "plot.gpciBootstrapHybrid2"
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    },
    {
      "page": "plot.gpcihybridIILinApp",
      "title": "Plot Method for gpcihybridIILinApp Objects",
      "topics": [
        "plot.gpcihybridIILinApp"
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      "page": "print.gpci_dist_hybrid2",
      "title": "Print Method for gpci_dist_hybrid2",
      "topics": [
        "print.gpci_dist_hybrid2"
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    },
    {
      "page": "print.gpci_gof_hybrid2",
      "title": "Print Method for gpci_gof_hybrid2",
      "topics": [
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    },
    {
      "page": "print.gpciBootstrapHybrid2",
      "title": "Print Method for gpciBootstrapHybrid2 Objects",
      "topics": [
        "print.gpciBootstrapHybrid2"
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    },
    {
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      "topics": [
        "print.gpcifit_hybrid2"
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    {
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      "title": "Print Method for gpcihybridIILinApp Objects",
      "topics": [
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      "page": "summary.gpcihybridIILinApp",
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      "topics": [
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    },
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      "title": "Summary Method for gpciLindleyHybrid2 Objects",
      "topics": [
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      "title": "Vcov Method for gpcifit_hybrid2",
      "topics": [
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      "filename": "gpcihybridIILinApp.html",
      "title": "Lindley Approximation for Capability Indices under Hybrid Censoring",
      "engine": "knitr::rmarkdown",
      "headings": [
        "Introduction",
        "Hybrid Type-II Censoring Scheme",
        "Supported Generalized Process Capability Indices",
        "Basic Example with Custom PDF/CDF/SF",
        "Using Built-in Distribution Objects",
        "Goodness-of-Fit Testing",
        "References"
      ],
      "created": "2026-08-21 13:00:20",
      "modified": "2026-08-21 13:00:20",
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