Package: UniLindleyApprox
Type: Package
Title: Bayesian Point Estimation Using Lindley's Approximation Under
        Censoring Schemes
Version: 0.1.0
Authors@R: c(
    person("Shikhar", "Tyagi",
           email = "shikhar1093tyagi@gmail.com",
           role  = c("aut", "cre"),
           comment = c(ORCID = "0000-0003-1606-0844")),
    person("Arvind", "Pandey",
           email = "arvindmzu@gmail.com",
           role  = "aut"),
    person("Bhupendra", "Singh",
           email = "bhupendra.rana@gmail.com",
           role  = "aut"),
    person("Vrijesh", "Tripathi",
           email = "vrijesh.tripathi@uwi.edu",
           role  = "aut"))
Description: Performs Bayesian point estimation using Lindley's Approximation (1980)
    <doi:10.1111/j.2517-6161.1980.tb01102.x> for arbitrary univariate
    probability distributions under numerous censoring and truncation schemes.
    Users supply the probability density function (PDF), cumulative distribution
    function (CDF), survival function, log-prior density, initial parameter vector,
    support bounds, and observed data; the package automatically computes Bayesian
    point estimates under various loss functions using Lindley's approximation.
    Supported schemes include complete data, right censoring, left censoring,
    interval censoring, random censoring, block random censoring, Type-I censoring,
    Type-II censoring, progressive Type-II censoring, progressive first failure
    censoring, joint Type-I censoring, joint Type-II censoring, balanced joint
    progressive Type-II censoring, hybrid censoring, hybrid Type-I censoring,
    hybrid Type-II censoring, Type-I hybrid censoring, Type-II progressively
    hybrid censoring, doubly Type-II censoring, middle censoring, right truncation,
    and left truncation. The package computes posterior expectations of arbitrary
    smooth functions, supports multiple loss functions (squared error loss function
    (SELF), weighted squared error loss function (WSELF), modified quadratic squared
    error loss function (MQSELF), precautionary loss function (PLF), entropy loss
    function (ELF), linear-exponential (LINEX), generalized entropy loss function
    (GELF), Kullback-Leibler loss function (K-Loss), and user-defined), provides
    model selection criteria (Akaike information criterion (AIC), Bayesian information
    criterion (BIC), corrected Akaike information criterion (AICc), Hannan-Quinn
    information criterion (HQIC), consistent Akaike information criterion (CAIC),
    Kullback information criterion (KIC)), goodness-of-fit statistics (Kolmogorov-Smirnov,
    Anderson-Darling, Cramer-von Mises, Watson, Chi-square), residual analysis
    (Cox-Snell, Martingale, Deviance, Pearson, Generalized, Randomized quantile),
    comprehensive visualization tools, prediction utilities, and simulation functions
    for benchmarking estimators. Methods are described in Lindley (1980)
    <doi:10.1111/j.2517-6161.1980.tb01102.x>, Tierney and Kadane (1986)
    <doi:10.2307/2234555>, Tierney, Kass, and Kadane (1989)
    <doi:10.2307/2335663>, Nagar, Kumar, and Krishna (2026)
    <doi:10.59467/IJASS.2026.22.1>, Goel, Kumar, and Krishna (2026,
    "Estimation in power Lindley distributions using balanced joint
    progressively Type-II censored data"), Wu and Kus (2009)
    <doi:10.1016/j.csda.2009.03.010>, Goel and Krishna (2026)
    <doi:10.1007/s13198-026-03208-w>, Balakrishnan and Aggarwala (2000,
    ISBN:978-1-4612-1334-5), Mondal and Kundu (2020)
    <doi:10.1080/03610926.2018.1554128>, Ding and Gui (2023)
    <doi:10.3390/math11092003>, Prajapati, Mitra, and Kundu (2019)
    <doi:10.1007/s13571-018-0167-0>, Yadav, Jaiswal, and Yadav (2026)
    <doi:10.1007/s11135-026-02647-8>, Iyer, Jammalamadaka, and Kundu (2008)
    <doi:10.1016/j.jspi.2007.03.062>, Banerjee and Kundu (2008)
    <doi:10.1109/TR.2008.916890>, and Kundu and Joarder (2006)
    <doi:10.1016/j.csda.2005.05.002>.
License: GPL-3
Depends: R (>= 4.0.0)
Imports: stats, graphics, grDevices, utils, methods, numDeriv, MASS
Suggests: testthat (>= 3.0.0), ggplot2, future, parallel, knitr,
        rmarkdown
Config/testthat/edition: 3
Encoding: UTF-8
Language: en-US
RoxygenNote: 7.3.3
VignetteBuilder: knitr
NeedsCompilation: no
Packaged: 2026-07-29 00:54:59 UTC; shikhar tyagi
Author: Shikhar Tyagi [aut, cre] (ORCID:
    <https://orcid.org/0000-0003-1606-0844>),
  Arvind Pandey [aut],
  Bhupendra Singh [aut],
  Vrijesh Tripathi [aut]
Maintainer: Shikhar Tyagi <shikhar1093tyagi@gmail.com>
Repository: CRAN
Date/Publication: 2026-08-06 13:50:13 UTC
Built: R 4.6.1; ; 2026-08-06 23:50:46 UTC; windows
