Package: MultiFrailty
Title: Shared Frailty Regression Models with Inverse Gaussian,
        Generalized Lindley, and Gamma Frailty Distributions
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: Implements shared frailty regression models for survival
        data under eight censoring mechanisms: exact, right censoring
        (Kalbfleisch and Prentice, 2002), left censoring, interval
        censoring (Sun, 2006), progressive Type I censoring, and
        progressive Type II censoring (Balakrishnan and Aggarwala, 2000
        <doi:10.1007/978-1-4612-1334-5>). Combines four frailty
        distributions -- Gamma (Clayton, 1978), Inverse Gaussian
        (Hougaard, 1984), and two variants of the Generalized Lindley
        (GL) distribution: GL Type 1, a two-component gamma mixture
        with distribution-specific scale/shape linkage (Pandey,
        Hanagal, and Tyagi, 2022), and GL Type 2, a two-component gamma
        mixture with a common rate parameter (Pandey and Tyagi, 2021
        <doi:10.1134/S1995080222010140>) -- with two baseline hazard
        distributions: the two-parameter Weibull distribution (Weibull,
        1951) and the three-parameter Generalized (Exponentiated)
        Weibull distribution (Mudholkar and Srivastava, 1993
        <doi:10.1109/24.229504>). A no-frailty baseline-only model is
        also supported for nested model comparison. Maximum likelihood
        estimation is conducted using Newton-Raphson and
        Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithms via the
        'maxLik' package (Henningsen and Toomet, 2011
        <doi:10.1007/s00180-010-0217-1>). Provides standard errors,
        confidence intervals, hypothesis tests, Akaike Information
        Criterion (AIC, Akaike, 1974 <doi:10.1109/TAC.1974.1100705>),
        Bayesian Information Criterion (BIC, Schwarz, 1978
        <doi:10.1214/aos/1176344136>), corrected Akaike Information
        Criterion (AICc, Hurvich and Tsai, 1989), Hannan-Quinn
        Information Criterion (HQIC, Hannan and Quinn, 1979), a
        bootstrap approximation of the Widely Applicable Information
        Criterion (WAIC, Watanabe, 2010), k-fold cross-validation,
        frailty variance estimation, survival, hazard, median, risk,
        and marginal predictions, Cox-Snell (Cox and Snell, 1968),
        martingale (Barlow and Prentice, 1988), and deviance residuals
        with a Kolmogorov-Smirnov goodness-of-fit test, influence
        diagnostics (leverage, Cook's distance, difference in fits
        (DFFITS), difference in betas (DFBETAS); Belsley, Kuh, and
        Welsch, 1980), random data generation under all eight censoring
        mechanisms, a Monte Carlo simulation-study function, and a
        diagnostic and survival plotting suite.
License: GPL-3
Depends: R (>= 4.0.0)
Imports: survival, maxLik, numDeriv, stats, graphics, grDevices, utils
Suggests: testthat (>= 3.0.0), knitr, rmarkdown
VignetteBuilder: knitr
Encoding: UTF-8
Language: en-US
RoxygenNote: 7.3.3
Config/testthat/edition: 3
NeedsCompilation: no
Packaged: 2026-09-21 11:43:46 UTC; root
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: https://shikhartyagi.r-universe.dev
Date/Publication: 2026-08-07 19:40:06 UTC
RemoteUrl: https://github.com/cran/MultiFrailty
RemoteRef: HEAD
RemoteSha: 2186e48d874cea3b85549f7393a4a05a1ae634eb