TKApprox: A General Framework for Bayesian Estimation Using the 'Tierney'-'Kadane' Approximation
Provides a distribution-independent framework for Bayesian estimation of arbitrary univariate probability models using the 'Tierney'-'Kadane' approximation ('Tierney' & 'Kadane', 1986 <doi:10.1080/01621459.1986.10478240>). Users specify the probability distribution, likelihood, prior distributions, and censoring mechanism, while the package automatically constructs the posterior distribution, computes posterior modes and Hessian matrices, approximates posterior expectations under several Bayesian loss functions, and returns Bayesian parameter estimates, posterior covariance matrices, credible intervals, diagnostic plots, and model comparison statistics. Supports complete, right-, left-, interval-, Type-I, Type-II, progressive Type-II, hybrid, and doubly censored data ('Lawless', 2003 <ISBN:978-0-471-37215-8>; 'Meeker' & 'Escobar', 1998 <ISBN:978-0-471-14328-4>; 'Balakrishnan' & 'Aggarwala', 2000 <ISBN:978-0-8176-4129-0>; 'Kundu' & 'Pradhan', 2009 <doi:10.1198/TECH.2009.0019>), making it a flexible tool for Bayesian reliability, survival, and lifetime data analysis.
| Version: | 0.1.0 |
| Depends: | R (≥ 4.0.0) |
| Imports: | checkmate, numDeriv, maxLik, rlang, stats, graphics, grDevices, utils, MASS |
| Suggests: | testthat (≥ 3.0.0), knitr, rmarkdown, pkgdown, ggplot2, gridExtra |
| Published: | 2026-08-07 |
| DOI: | 10.32614/CRAN.package.TKApprox |
| Author: | Shikhar Tyagi 
[aut, cre],
Arvind Pandey [aut],
Bhupendra Singh [aut],
Vrijesh Tripathi [aut] |
| Maintainer: | Shikhar Tyagi <shikhar1093tyagi at gmail.com> |
| License: | GPL (≥ 3) |
| NeedsCompilation: | no |
| Materials: | README, NEWS |
| CRAN checks: | TKApprox results |
Documentation:
| Reference manual: | TKApprox.html , TKApprox.pdf |
| Vignettes: |
Censoring Schemes (source, R code) Defining Custom Distributions (source, R code) Introduction to TKApprox (source, R code) Loss Functions (source, R code) Prior Specification (source, R code) Real Data Example (source, R code) Simulation Studies (source, R code) Tierney-Kadane Approximation: Theory and Derivation (source, R code) |
Downloads:
| Package source: | TKApprox_0.1.0.tar.gz |
| Windows binaries: | r-devel: TKApprox_0.1.0.zip, r-release: TKApprox_0.1.0.zip, r-oldrel: TKApprox_0.1.0.zip |
| macOS binaries: | r-release (arm64): TKApprox_0.1.0.tgz, r-oldrel (arm64): TKApprox_0.1.0.tgz, r-release (x86_64): TKApprox_0.1.0.tgz, r-oldrel (x86_64): TKApprox_0.1.0.tgz |
Linking:
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