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  "Package": "gpcihybridIIEM",
  "Type": "Package",
  "Title": "Generalized Process Capability Indices via EM for Hybrid Type-II\nData",
  "Version": "0.1.0",
  "Authors@R": "c(\nperson(\"Shikhar\", \"Tyagi\", email = \"shikhar1093tyagi@gmail.com\",\nrole = c(\"aut\", \"cre\"),\ncomment = c(ORCID = \"0000-0003-1606-0844\"))\n)",
  "Description": "Implements the Expectation-Maximization (EM) algorithm of\nDempster, Laird, and Rubin (1977)\n<doi:10.1111/j.2517-6161.1977.tb01600.x> for parameter\nestimation under Hybrid Type-II censored data (Childs et al.\n(2003) <doi:10.1007/BF02517803>; Balakrishnan and Kundu (2013)\n<doi:10.1002/nav.21545>) using the 'UniCensorEM' package and\ncomputes Generalized Process Capability Indices (GPCIs).\nSupports classical and generalized capability indices including\nCpy (Maiti et al. (2010) <doi:10.1080/16843703.2010.11673233>),\nCp, Cpk, Cpu, Cpl, Cpm, Cpmk, Spmk (Dey and Saha (2019)\n<doi:10.1007/s41872-019-00081-4>), CpTk (Saha et al. (2018)\n<doi:10.1080/21681015.2018.1437793>), Cpc, CNpmc (Alotaibi et\nal. (2022) <doi:10.1155/2022/3135264>), CNpmkc (Saha et al.\n(2024) <doi:10.1142/S021853932450013X>), and CNpk (Saha et al.\n(2022) <doi:10.1080/02664763.2021.1971632>). Computes point\nestimates, bias, mean squared error, risk, Heidelberger and\nWelch convergence diagnostics, convergence probability,\nBayesian MCMC sampling chains, goodness-of-fit testing via\n'gofPHCS', and bootstrap confidence intervals at 90 percent, 95\npercent, and 99 percent levels. Accommodates user-defined\nprobability density or mass functions, cumulative distribution\nfunctions, and survival functions.",
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  "Author": "Shikhar Tyagi [aut, cre] (ORCID:\n<https://orcid.org/0000-0003-1606-0844>)",
  "Maintainer": "Shikhar Tyagi <shikhar1093tyagi@gmail.com>",
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  "Date/Publication": "2026-08-21 13:00:31 UTC",
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    "boot_ci_hybrid2_em",
    "capability_hybrid_ty2_em",
    "capability_hybrid2_em",
    "dist_exp_exp",
    "dist_exponential",
    "dist_gamma",
    "dist_logistic_exp",
    "dist_lognormal",
    "dist_normal",
    "dist_rayleigh",
    "dist_weibull",
    "eval_performance_em",
    "eval_performance_hybrid2_em",
    "fit_hybrid_ty2_em",
    "fit_hybrid2_em",
    "gof_test",
    "gof_test_hybrid2",
    "gpc_boot_hybrid2_em",
    "gpc_hybrid2_em",
    "gpc_hybrid2_em_fit",
    "gpc_index_hybrid2_em",
    "gpc_sim_hybrid2_em",
    "gpci_fit_hybrid2_em",
    "gpci_mcmc_hybrid2",
    "make_gpc_dist",
    "mcmc_hybrid_ty2_chain",
    "mcmc_hybrid2_chain",
    "simulate_hybrid2_data"
  ],
  "_help": [
    {
      "page": "boot_ci_hybrid2_em",
      "title": "Bootstrap Confidence Intervals for Hybrid Type-II GPCI (EM)",
      "topics": [
        "boot_ci_hybrid2_em",
        "boot_ci_hybrid_ty2_em",
        "gpc_boot_hybrid2_em"
      ]
    },
    {
      "page": "capability_hybrid2_em",
      "title": "Compute Generalized Process Capability Indices via EM Algorithm for Hybrid Type-II Data",
      "topics": [
        "capability_hybrid2_em",
        "capability_hybrid_ty2_em",
        "gpc_hybrid2_em",
        "gpc_hybrid2_em_fit"
      ]
    },
    {
      "page": "coef.gpc_hybrid2_em_fit",
      "title": "Coef Method for Hybrid Type-II GPCI EM Fit",
      "topics": [
        "coef.gpc_hybrid2_em_fit"
      ]
    },
    {
      "page": "eval_performance_hybrid2_em",
      "title": "Monte Carlo Simulation Framework for Hybrid Type-II Censoring (EM)",
      "topics": [
        "eval_performance_em",
        "eval_performance_hybrid2_em",
        "gpc_sim_hybrid2_em"
      ]
    },
    {
      "page": "fit_hybrid2_em",
      "title": "Parameter Estimation via EM Algorithm for Hybrid Type-II Censored Data",
      "topics": [
        "fit_hybrid2_em",
        "fit_hybrid_ty2_em",
        "gpci_fit_hybrid2_em"
      ]
    },
    {
      "page": "gof_test_hybrid2",
      "title": "Goodness-of-Fit Testing for Hybrid Type-II Censored Data using gofPHCS",
      "topics": [
        "gof_test",
        "gof_test_hybrid2"
      ]
    },
    {
      "page": "gpc_index_hybrid2_em",
      "title": "Retrieve a Single GPCI Value",
      "topics": [
        "gpc_index_hybrid2_em"
      ]
    },
    {
      "page": "make_gpc_dist",
      "title": "Custom and Predefined Distribution Construction",
      "topics": [
        "make_gpc_dist"
      ]
    },
    {
      "page": "mcmc_hybrid2_chain",
      "title": "MCMC Parameter and GPCI Chain Generator for Hybrid Type-II Censored Data",
      "topics": [
        "gpci_mcmc_hybrid2",
        "mcmc_hybrid2_chain",
        "mcmc_hybrid_ty2_chain"
      ]
    },
    {
      "page": "plot.gpc_hybrid2_em_ci",
      "title": "Plot Method for Hybrid Type-II Bootstrap CIs",
      "topics": [
        "plot.gpc_hybrid2_em_ci"
      ]
    },
    {
      "page": "plot.gpc_hybrid2_em_fit",
      "title": "Plot Method for Hybrid Type-II GPCI EM Fit",
      "topics": [
        "plot.gpc_hybrid2_em_fit"
      ]
    },
    {
      "page": "plot.gpc_hybrid2_em_mcmc",
      "title": "Plot Method for Hybrid Type-II MCMC Chains",
      "topics": [
        "plot.gpc_hybrid2_em_mcmc"
      ]
    },
    {
      "page": "predefined_distributions",
      "title": "Predefined Distribution Specifications",
      "topics": [
        "dist_exponential",
        "dist_exp_exp",
        "dist_gamma",
        "dist_logistic_exp",
        "dist_lognormal",
        "dist_normal",
        "dist_rayleigh",
        "dist_weibull",
        "predefined_distributions"
      ]
    },
    {
      "page": "print.gpc_dist",
      "title": "Print Method for Distribution Objects",
      "topics": [
        "print.gpc_dist"
      ]
    },
    {
      "page": "print.gpc_hybrid2_em_ci",
      "title": "Print Method for Hybrid Type-II Bootstrap CIs",
      "topics": [
        "print.gpc_hybrid2_em_ci"
      ]
    },
    {
      "page": "print.gpc_hybrid2_em_fit",
      "title": "Print Method for Hybrid Type-II GPCI EM Fit",
      "topics": [
        "print.gpc_hybrid2_em_fit"
      ]
    },
    {
      "page": "print.gpc_hybrid2_em_gof",
      "title": "Print Method for Hybrid Type-II Goodness-of-Fit",
      "topics": [
        "print.gpc_hybrid2_em_gof"
      ]
    },
    {
      "page": "print.gpc_hybrid2_em_mcmc",
      "title": "Print Method for MCMC Chain Generator Result",
      "topics": [
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      ]
    },
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      "topics": [
        "print.gpc_sim_hybrid2_em"
      ]
    },
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      "page": "simulate_hybrid2_data",
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      "topics": [
        "simulate_hybrid2_data"
      ]
    },
    {
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      "title": "Summary Method for Hybrid Type-II Bootstrap CIs",
      "topics": [
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    },
    {
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      "title": "Summary Method for Hybrid Type-II GPCI EM Fit",
      "topics": [
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