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: 2026-07-30 23:00:46 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: 2026-08-07 19:40:06 UTC
Built: R 4.6.0; ; 2026-08-07 22:35:38 UTC; unix
