{
  "_id": "6a624d9c717f18b497d4146f",
  "Package": "MleCensoR",
  "Type": "Package",
  "Title": "Maximum Likelihood Estimation under Censoring Schemes",
  "Version": "0.1.0",
  "Authors@R": "c(\nperson(given = \"Shikhar\",\nfamily = \"Tyagi\",\nrole = c(\"aut\", \"cre\"),\nemail = \"shikhar1093tyagi@gmail.com\",\ncomment = c(ORCID = \"0000-0003-1606-0844\")),\nperson(given = \"Vrijesh\",\nfamily = \"Tripathi\",\nrole = \"aut\",\nemail = \"vrijesh.tripathi@uwi.edu\"))",
  "Description": "Provides generalized functions to compute Maximum\nLikelihood Estimation (MLE) for any univariate distribution\nunder various censoring and truncation schemes.  Users supply\nthe probability density function (PDF), cumulative distribution\nfunction (CDF), survival function, support bounds, and initial\nparameter values; the package constructs and maximizes the\nappropriate log-likelihood automatically.  Supported schemes\ninclude right and left truncation, random, right, left,\ninterval, and middle censoring, block random censoring,\nbalanced joint progressive Type-II (BJPT-II), progressive first\nfailure, joint Type-I, Type-I, Type-II, progressive Type-II,\nType-II progressively hybrid, joint Type-II, hybrid, hybrid\nType-I, doubly Type-II, Type-I hybrid, and hybrid Type-II\ncensoring.  Optimization methods include Newton-Raphson (NR),\nBroyden-Fletcher-Goldfarb-Shanno (BFGS), the BFGS algorithm\nimplemented in R (BFGSR), Berndt-Hall-Hall-Hausman (BHHH),\nSimulated Annealing (SANN), Conjugate Gradients (CG), and\nNelder-Mead (NM).  Inference summaries provide the Akaike\nInformation Criterion (AIC), estimated coefficients,\nlog-likelihood, iteration count, standard errors, z-values,\np-values, and the variance-covariance matrix.  Methods are\ndescribed in Nagar, Kumar, and Krishna (2026)\n<doi:10.59467/IJASS.2026.22.1>, Goel, Kumar, and Krishna (2026,\n\"Estimation in power Lindley distributions using balanced joint\nprogressively Type-II censored data\"), Wu and Kus (2009)\n<doi:10.1016/j.csda.2009.03.010>, Goel and Krishna (2026)\n<doi:10.1007/s13198-026-03208-w>, Balakrishnan and Aggarwala\n(2000, ISBN:978-1-4612-1334-5), Mondal and Kundu (2020)\n<doi:10.1080/03610926.2018.1554128>, Ding and Gui (2023)\n<doi:10.3390/math11092003>, Prajapati, Mitra, and Kundu (2019)\n<doi:10.1007/s13571-018-0167-0>, Yadav, Jaiswal, and Yadav\n(2026) <doi:10.1007/s11135-026-02647-8>, Iyer, Jammalamadaka,\nand Kundu (2008) <doi:10.1016/j.jspi.2007.03.062>, Banerjee and\nKundu (2008) <doi:10.1109/TR.2008.916890>, Kundu and Joarder\n(2006) <doi:10.1016/j.csda.2005.05.002>, Berndt, Hall, Hall,\nand Hausman (1974) \"Estimation and Inference in Nonlinear\nStructural Models\" <doi:10.3386/t0003>, Fletcher (1987,\n\"Practical Methods of Optimization\", ISBN:978-0-471-91547-8),\nNelder and Mead (1965) <doi:10.1093/comjnl/7.4.308>, McKinnon\n(1999) \"Convergence of the Nelder-Mead simplex method to a\nnon-stationary point\" <doi:10.1137/S1052623496303482>,\nKirkpatrick, Gelatt, and Vecchi (1983)\n<doi:10.1126/science.220.4598.671>, Fletcher and Reeves (1964)\n<doi:10.1093/comjnl/7.2.149>, and Nocedal and Wright (2006,\n\"Numerical Optimization\", ISBN:978-0-387-30303-1).",
  "License": "GPL-3",
  "Encoding": "UTF-8",
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  "NeedsCompilation": "no",
  "Packaged": {
    "Date": "2026-07-23 17:11:53 UTC",
    "User": "root"
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  "Author": "Shikhar Tyagi [aut, cre] (ORCID:\n<https://orcid.org/0000-0003-1606-0844>), Vrijesh Tripathi\n[aut]",
  "Maintainer": "Shikhar Tyagi <shikhar1093tyagi@gmail.com>",
  "Repository": "https://cran.r-universe.dev",
  "Date/Publication": "2026-07-23 14:10:09 UTC",
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  "_created": "2026-07-23T17:11:53.000Z",
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    "description": "Lecturer, Department of Mathematics and Statistics, The University of the West Indies, Trinidad and Tobago. ",
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  "_exports": [
    "mle_bjpt2",
    "mle_block_random",
    "mle_doubly_type2",
    "mle_hybrid",
    "mle_hybrid_type1",
    "mle_hybrid_type2",
    "mle_interval",
    "mle_joint_type1",
    "mle_joint_type2",
    "mle_left",
    "mle_left_truncation",
    "mle_middle",
    "mle_progressive_first_failure",
    "mle_progressive_hybrid_type2",
    "mle_progressive_type2",
    "mle_random",
    "mle_right",
    "mle_right_truncation",
    "mle_type1",
    "mle_type1_hybrid",
    "mle_type2",
    "nIter",
    "stdEr"
  ],
  "_help": [
    {
      "page": "AIC.mle_fit",
      "title": "Extract Akaike Information Criterion (AIC)",
      "topics": [
        "AIC.mle_fit"
      ]
    },
    {
      "page": "coef.mle_fit",
      "title": "Extract Parameter Estimates",
      "topics": [
        "coef.mle_fit"
      ]
    },
    {
      "page": "logLik.mle_fit",
      "title": "Extract Log-Likelihood",
      "topics": [
        "logLik.mle_fit"
      ]
    },
    {
      "page": "mle_bjpt2",
      "title": "MLE under Balanced Joint Progressive Type-II (BJPT-II) Censoring",
      "topics": [
        "mle_bjpt2"
      ]
    },
    {
      "page": "mle_block_random",
      "title": "MLE under Block Random Censoring",
      "topics": [
        "mle_block_random"
      ]
    },
    {
      "page": "mle_doubly_type2",
      "title": "MLE under Doubly Type-II Censoring",
      "topics": [
        "mle_doubly_type2"
      ]
    },
    {
      "page": "mle_hybrid",
      "title": "MLE under Hybrid Censoring (Type-I Hybrid)",
      "topics": [
        "mle_hybrid"
      ]
    },
    {
      "page": "mle_hybrid_type1",
      "title": "MLE under Hybrid Type-I Censoring",
      "topics": [
        "mle_hybrid_type1"
      ]
    },
    {
      "page": "mle_hybrid_type2",
      "title": "MLE under Hybrid Type-II Censoring",
      "topics": [
        "mle_hybrid_type2"
      ]
    },
    {
      "page": "mle_interval",
      "title": "MLE under Interval Censoring",
      "topics": [
        "mle_interval"
      ]
    },
    {
      "page": "mle_joint_type1",
      "title": "MLE under Joint Type-I Censoring",
      "topics": [
        "mle_joint_type1"
      ]
    },
    {
      "page": "mle_joint_type2",
      "title": "MLE under Joint Type-II Censoring",
      "topics": [
        "mle_joint_type2"
      ]
    },
    {
      "page": "mle_left",
      "title": "MLE under Left Censoring",
      "topics": [
        "mle_left"
      ]
    },
    {
      "page": "mle_left_truncation",
      "title": "MLE under Left Truncation",
      "topics": [
        "mle_left_truncation"
      ]
    },
    {
      "page": "mle_middle",
      "title": "MLE under Middle Censoring",
      "topics": [
        "mle_middle"
      ]
    },
    {
      "page": "mle_progressive_first_failure",
      "title": "MLE under Progressive First Failure Censoring",
      "topics": [
        "mle_progressive_first_failure"
      ]
    },
    {
      "page": "mle_progressive_hybrid_type2",
      "title": "MLE under Type-II Progressively Hybrid Censoring",
      "topics": [
        "mle_progressive_hybrid_type2"
      ]
    },
    {
      "page": "mle_progressive_type2",
      "title": "MLE under Progressive Type-II Censoring",
      "topics": [
        "mle_progressive_type2"
      ]
    },
    {
      "page": "mle_random",
      "title": "MLE under Random Censoring",
      "topics": [
        "mle_random"
      ]
    },
    {
      "page": "mle_right",
      "title": "MLE under Right Censoring",
      "topics": [
        "mle_right"
      ]
    },
    {
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      "title": "MLE under Right Truncation",
      "topics": [
        "mle_right_truncation"
      ]
    },
    {
      "page": "mle_type1",
      "title": "MLE under Type-I Censoring",
      "topics": [
        "mle_type1"
      ]
    },
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      "title": "MLE under Type-I Hybrid Censoring",
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      "title": "MLE under Type-II Censoring",
      "topics": [
        "mle_type2"
      ]
    },
    {
      "page": "nIter",
      "title": "Extract Number of Iterations",
      "topics": [
        "nIter"
      ]
    },
    {
      "page": "print.mle_fit",
      "title": "Print MLE Fit",
      "topics": [
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      "title": "Print Summary Table",
      "topics": [
        "print.summary.mle_fit"
      ]
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      "title": "Extract Standard Errors",
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      ]
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      "title": "Summarize MLE Fit",
      "topics": [
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    },
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      "page": "vcov.mle_fit",
      "title": "Extract Variance-Covariance Matrix",
      "topics": [
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    }
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