{
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  "Package": "UniLindleyApprox",
  "Type": "Package",
  "Title": "Bayesian Point Estimation Using Lindley's Approximation Under\nCensoring Schemes",
  "Version": "0.1.0",
  "Authors@R": "c(\nperson(\"Shikhar\", \"Tyagi\",\nemail = \"shikhar1093tyagi@gmail.com\",\nrole  = c(\"aut\", \"cre\"),\ncomment = c(ORCID = \"0000-0003-1606-0844\")),\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\"))",
  "Description": "Performs Bayesian point estimation using Lindley's\nApproximation (1980) <doi:10.1111/j.2517-6161.1980.tb01102.x>\nfor arbitrary univariate probability distributions under\nnumerous censoring and truncation schemes. Users supply the\nprobability density function (PDF), cumulative distribution\nfunction (CDF), survival function, log-prior density, initial\nparameter vector, support bounds, and observed data; the\npackage automatically computes Bayesian point estimates under\nvarious loss functions using Lindley's approximation. Supported\nschemes include complete data, right censoring, left censoring,\ninterval censoring, random censoring, block random censoring,\nType-I censoring, Type-II censoring, progressive Type-II\ncensoring, progressive first failure censoring, joint Type-I\ncensoring, joint Type-II censoring, balanced joint progressive\nType-II censoring, hybrid censoring, hybrid Type-I censoring,\nhybrid Type-II censoring, Type-I hybrid censoring, Type-II\nprogressively hybrid censoring, doubly Type-II censoring,\nmiddle censoring, right truncation, and left truncation. The\npackage computes posterior expectations of arbitrary smooth\nfunctions, supports multiple loss functions (squared error loss\nfunction (SELF), weighted squared error loss function (WSELF),\nmodified quadratic squared error loss function (MQSELF),\nprecautionary loss function (PLF), entropy loss function (ELF),\nlinear-exponential (LINEX), generalized entropy loss function\n(GELF), Kullback-Leibler loss function (K-Loss), and\nuser-defined), provides model selection criteria (Akaike\ninformation criterion (AIC), Bayesian information criterion\n(BIC), corrected Akaike information criterion (AICc),\nHannan-Quinn information criterion (HQIC), consistent Akaike\ninformation criterion (CAIC), Kullback information criterion\n(KIC)), goodness-of-fit statistics (Kolmogorov-Smirnov,\nAnderson-Darling, Cramer-von Mises, Watson, Chi-square),\nresidual analysis (Cox-Snell, Martingale, Deviance, Pearson,\nGeneralized, Randomized quantile), comprehensive visualization\ntools, prediction utilities, and simulation functions for\nbenchmarking estimators. Methods are described in Lindley\n(1980) <doi:10.1111/j.2517-6161.1980.tb01102.x>, Tierney and\nKadane (1986) <doi:10.2307/2234555>, Tierney, Kass, and Kadane\n(1989) <doi:10.2307/2335663>, 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>, and Kundu and\nJoarder (2006) <doi:10.1016/j.csda.2005.05.002>.",
  "License": "GPL-3",
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  "Author": "Shikhar Tyagi [aut, cre] (ORCID:\n<https://orcid.org/0000-0003-1606-0844>), Arvind Pandey [aut],\nBhupendra Singh [aut], Vrijesh Tripathi [aut]",
  "Maintainer": "Shikhar Tyagi <shikhar1093tyagi@gmail.com>",
  "Repository": "https://shikhartyagi.r-universe.dev",
  "Date/Publication": "2026-08-06 14:43:08 UTC",
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    "AICc",
    "bayes_estimate",
    "BIC.lindleyfit",
    "CAIC",
    "coef.lindleyfit",
    "diagnostics",
    "diagnostics.lindleyfit",
    "fitted.lindleyfit",
    "gof_ad",
    "gof_chisq",
    "gof_cvm",
    "gof_ks",
    "gof_watson",
    "HQIC",
    "KIC",
    "lindley_fit",
    "lindley.control",
    "log_prior_beta",
    "log_prior_exponential",
    "log_prior_gamma",
    "log_prior_invgamma",
    "log_prior_jeffreys",
    "log_prior_lognormal",
    "log_prior_normal",
    "log_prior_uniform",
    "log_prior_weibull",
    "logLik.lindleyfit",
    "loss_elf",
    "loss_gelf",
    "loss_kloss",
    "loss_linex",
    "loss_mqself",
    "loss_plf",
    "loss_self",
    "loss_wself",
    "plot.lindleyfit",
    "posterior_expectation",
    "posterior_mean",
    "posterior_median",
    "predict.lindleyfit",
    "print.lindleyfit",
    "residuals.lindleyfit",
    "simulate_complete",
    "simulate_hybrid",
    "simulate_interval",
    "simulate_left",
    "simulate_left_truncation",
    "simulate_middle",
    "simulate_progressive",
    "simulate_random",
    "simulate_right",
    "simulate_right_truncation",
    "simulate_type1",
    "simulate_type2",
    "summary.lindleyfit"
  ],
  "_help": [
    {
      "page": "UniLindleyApprox-package",
      "title": "UniLindleyApprox: Bayesian Point Estimation Using Lindley's Approximation",
      "topics": [
        "UniLindleyApprox-package",
        "UniLindleyApprox"
      ]
    },
    {
      "page": "AIC.lindleyfit",
      "title": "AIC Method for lindleyfit Objects",
      "topics": [
        "AIC.lindleyfit"
      ]
    },
    {
      "page": "AICc",
      "title": "AIC Method for lindleyfit Objects Corrected Akaike Information Criterion (AICc)",
      "topics": [
        "AICc"
      ]
    },
    {
      "page": "AICc.lindleyfit",
      "title": "AICc Method for lindleyfit Objects",
      "topics": [
        "AICc.lindleyfit"
      ]
    },
    {
      "page": "autoplot.lindleyfit",
      "title": "Autoplot Method for lindleyfit Objects",
      "topics": [
        "autoplot.lindleyfit"
      ]
    },
    {
      "page": "bayes_estimate",
      "title": "Compute Bayes Estimate Under Specified Loss Function",
      "topics": [
        "bayes_estimate"
      ]
    },
    {
      "page": "BIC.lindleyfit",
      "title": "BIC Method for lindleyfit Objects",
      "topics": [
        "BIC.lindleyfit"
      ]
    },
    {
      "page": "CAIC",
      "title": "Consistent Akaike Information Criterion (CAIC)",
      "topics": [
        "CAIC"
      ]
    },
    {
      "page": "CAIC.lindleyfit",
      "title": "CAIC Method for lindleyfit Objects",
      "topics": [
        "CAIC.lindleyfit"
      ]
    },
    {
      "page": "coef.lindleyfit",
      "title": "Coefficient Method for lindleyfit Objects",
      "topics": [
        "coef.lindleyfit"
      ]
    },
    {
      "page": "compare_predictions",
      "title": "Compare Predictions",
      "topics": [
        "compare_predictions"
      ]
    },
    {
      "page": "diagnostics",
      "title": "Extract Diagnostic Information",
      "topics": [
        "diagnostics"
      ]
    },
    {
      "page": "diagnostics.lindleyfit",
      "title": "Diagnostics Method for lindleyfit Objects",
      "topics": [
        "diagnostics.lindleyfit"
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    {
      "page": "fitted.lindleyfit",
      "title": "Fitted Method for lindleyfit Objects",
      "topics": [
        "fitted.lindleyfit"
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    },
    {
      "page": "gof_ad",
      "title": "Anderson-Darling Statistic",
      "topics": [
        "gof_ad"
      ]
    },
    {
      "page": "gof_chisq",
      "title": "Chi-Square Goodness-of-Fit Statistic",
      "topics": [
        "gof_chisq"
      ]
    },
    {
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      "title": "Cramér-von Mises Statistic",
      "topics": [
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    {
      "page": "gof_ks",
      "title": "Kolmogorov-Smirnov Statistic",
      "topics": [
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    },
    {
      "page": "gof_stats",
      "title": "Goodness-of-Fit Statistics",
      "topics": [
        "gof_stats"
      ]
    },
    {
      "page": "gof_watson",
      "title": "Watson Statistic",
      "topics": [
        "gof_watson"
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    },
    {
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      "title": "Hannan-Quinn Information Criterion (HQIC)",
      "topics": [
        "HQIC"
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    },
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      "page": "HQIC.lindleyfit",
      "title": "HQIC Method for lindleyfit Objects",
      "topics": [
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    },
    {
      "page": "independent_prior",
      "title": "Create Independent Product Prior",
      "topics": [
        "independent_prior"
      ]
    },
    {
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      "title": "Kullback Information Criterion (KIC)",
      "topics": [
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    {
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      "title": "KIC Method for lindleyfit Objects",
      "topics": [
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    {
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      "title": "Bayesian Estimation Using Lindley's Approximation",
      "topics": [
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    {
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      "title": "Control Parameters for Lindley Approximation",
      "topics": [
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    },
    {
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      "title": "Create Multivariate Normal Prior",
      "topics": [
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      ]
    },
    {
      "page": "log_priors",
      "title": "Prior Distributions for Bayesian Estimation",
      "topics": [
        "log_priors",
        "log_prior_beta",
        "log_prior_exponential",
        "log_prior_gamma",
        "log_prior_invgamma",
        "log_prior_jeffreys",
        "log_prior_lognormal",
        "log_prior_normal",
        "log_prior_uniform",
        "log_prior_weibull"
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    {
      "page": "logLik.lindleyfit",
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      "topics": [
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      ]
    },
    {
      "page": "loss_functions",
      "title": "Loss Functions for Bayesian Estimation",
      "topics": [
        "loss_elf",
        "loss_functions",
        "loss_gelf",
        "loss_kloss",
        "loss_linex",
        "loss_mqself",
        "loss_plf",
        "loss_self",
        "loss_wself"
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    },
    {
      "page": "mae",
      "title": "Mean Absolute Error",
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        "mae"
      ]
    },
    {
      "page": "mse",
      "title": "Mean Squared Error",
      "topics": [
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    {
      "page": "plot_fitted",
      "title": "Plot Fitted Distribution",
      "topics": [
        "plot_fitted"
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    },
    {
      "page": "plot_likelihood_surface",
      "title": "Plot Likelihood Surface",
      "topics": [
        "plot_likelihood_surface"
      ]
    },
    {
      "page": "plot_posterior_surface",
      "title": "Plot Posterior Surface",
      "topics": [
        "plot_posterior_surface"
      ]
    },
    {
      "page": "plot_prior_posterior",
      "title": "Plot Prior vs Posterior",
      "topics": [
        "plot_prior_posterior"
      ]
    },
    {
      "page": "plot_profile",
      "title": "Plot Log-Likelihood Profile",
      "topics": [
        "plot_profile"
      ]
    },
    {
      "page": "plot_residuals",
      "title": "Plot Residuals",
      "topics": [
        "plot_residuals"
      ]
    },
    {
      "page": "plot.lindleyfit",
      "title": "Plot Method for lindleyfit Objects",
      "topics": [
        "plot.lindleyfit"
      ]
    },
    {
      "page": "plots",
      "title": "Visualization Functions for UniLindleyApprox",
      "topics": [
        "plots"
      ]
    },
    {
      "page": "posterior_expectation",
      "title": "Compute Posterior Expectation of Arbitrary Function",
      "topics": [
        "posterior_expectation"
      ]
    },
    {
      "page": "posterior_mean",
      "title": "Compute Posterior Mean Approximation",
      "topics": [
        "posterior_mean"
      ]
    },
    {
      "page": "posterior_median",
      "title": "Compute Posterior Median Approximation",
      "topics": [
        "posterior_median"
      ]
    },
    {
      "page": "predict_cumhaz",
      "title": "Predict Cumulative Hazard",
      "topics": [
        "predict_cumhaz"
      ]
    },
    {
      "page": "predict_failure_prob",
      "title": "Predict Failure Probability",
      "topics": [
        "predict_failure_prob"
      ]
    },
    {
      "page": "predict_hazard",
      "title": "Predict Hazard Function",
      "topics": [
        "predict_hazard"
      ]
    },
    {
      "page": "predict_interval",
      "title": "Prediction Intervals (Based on Quantiles)",
      "topics": [
        "predict_interval"
      ]
    },
    {
      "page": "predict_median",
      "title": "Predict Median Time to Failure",
      "topics": [
        "predict_median"
      ]
    },
    {
      "page": "predict_mttf",
      "title": "Predict Mean Time to Failure",
      "topics": [
        "predict_mttf"
      ]
    },
    {
      "page": "predict_new",
      "title": "Predict for New Data",
      "topics": [
        "predict_new"
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    },
    {
      "page": "predict_quantiles",
      "title": "Predict Quantiles",
      "topics": [
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    {
      "page": "predict_remaining_lifetime",
      "title": "Predict Remaining Lifetime",
      "topics": [
        "predict_remaining_lifetime"
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    },
    {
      "page": "predict_survival",
      "title": "Predict Survival Probabilities",
      "topics": [
        "predict_survival"
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    },
    {
      "page": "predict_survival_prob",
      "title": "Predict Probability of Survival to Time T",
      "topics": [
        "predict_survival_prob"
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    },
    {
      "page": "predict.lindleyfit",
      "title": "Predict Method for lindleyfit Objects",
      "topics": [
        "predict.lindleyfit"
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      "page": "prediction",
      "title": "Prediction Functions for UniLindleyApprox",
      "topics": [
        "prediction"
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    {
      "page": "prediction_summary",
      "title": "Prediction Summary",
      "topics": [
        "prediction_summary"
      ]
    },
    {
      "page": "print.lindleyfit",
      "title": "Print Method for lindleyfit Objects",
      "topics": [
        "print.lindleyfit"
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    },
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      "page": "residuals.lindleyfit",
      "title": "Residuals Method for lindleyfit Objects",
      "topics": [
        "residuals.lindleyfit"
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    {
      "page": "rmse",
      "title": "Root Mean Squared Error",
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        "rmse"
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