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cff-version: 1.2.0
message: 'To cite package "UniLindleyApprox" in publications use:'
type: software
license: GPL-3.0-only
title: 'UniLindleyApprox: Bayesian Point Estimation Using Lindley''s Approximation
  Under Censoring Schemes'
version: 0.1.0
doi: 10.32614/CRAN.package.UniLindleyApprox
abstract: Performs Bayesian point estimation using Lindley's Approximation (1980)
  <https://doi.org/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) <https://doi.org/10.1111/j.2517-6161.1980.tb01102.x>,
  Tierney and Kadane (1986) <https://doi.org/10.2307/2234555>, Tierney, Kass, and
  Kadane (1989) <https://doi.org/10.2307/2335663>, Nagar, Kumar, and Krishna (2026)
  <https://doi.org/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) <https://doi.org/10.1016/j.csda.2009.03.010>, Goel and
  Krishna (2026) <https://doi.org/10.1007/s13198-026-03208-w>, Balakrishnan and Aggarwala
  (2000, ISBN:978-1-4612-1334-5), Mondal and Kundu (2020) <https://doi.org/10.1080/03610926.2018.1554128>,
  Ding and Gui (2023) <https://doi.org/10.3390/math11092003>, Prajapati, Mitra, and
  Kundu (2019) <https://doi.org/10.1007/s13571-018-0167-0>, Yadav, Jaiswal, and Yadav
  (2026) <https://doi.org/10.1007/s11135-026-02647-8>, Iyer, Jammalamadaka, and Kundu
  (2008) <https://doi.org/10.1016/j.jspi.2007.03.062>, Banerjee and Kundu (2008) <https://doi.org/10.1109/TR.2008.916890>,
  and Kundu and Joarder (2006) <https://doi.org/10.1016/j.csda.2005.05.002>.
authors:
- family-names: Tyagi
  given-names: Shikhar
  email: shikhar1093tyagi@gmail.com
  orcid: https://orcid.org/0000-0003-1606-0844
- family-names: Pandey
  given-names: Arvind
  email: arvindmzu@gmail.com
- family-names: Singh
  given-names: Bhupendra
  email: bhupendra.rana@gmail.com
- family-names: Tripathi
  given-names: Vrijesh
  email: vrijesh.tripathi@uwi.edu
repository: https://shikhartyagi.r-universe.dev
commit: 10db56dcd1aa4c095739d9f0565bd14c67a68683
date-released: '2026-08-06'
contact:
- family-names: Tyagi
  given-names: Shikhar
  email: shikhar1093tyagi@gmail.com
  orcid: https://orcid.org/0000-0003-1606-0844