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# CITATION.cff file created with {cffr} R package
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cff-version: 1.2.0
message: 'To cite package "MultiFrailty" in publications use:'
type: software
license: GPL-3.0-only
title: 'MultiFrailty: Shared Frailty Regression Models with Inverse Gaussian, Generalized
  Lindley, and Gamma Frailty Distributions'
version: 0.1.0
identifiers:
- type: doi
  value: 10.32614/CRAN.package.MultiFrailty
abstract: '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 <https://doi.org/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 <https://doi.org/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 <https://doi.org/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 <https://doi.org/10.1007/s00180-010-0217-1>).
  Provides standard errors, confidence intervals, hypothesis tests, Akaike Information
  Criterion (AIC, Akaike, 1974 <https://doi.org/10.1109/TAC.1974.1100705>), Bayesian
  Information Criterion (BIC, Schwarz, 1978 <https://doi.org/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.'
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
preferred-citation:
  type: article
  title: Shared Frailty Models Based on Cancer Data
  authors:
  - family-names: Pandey
    given-names: Arvind
    email: arvindmzu@gmail.com
  - family-names: Hanagal
    given-names: David D.
  - family-names: Tyagi
    given-names: Shikhar
    email: shikhar1093tyagi@gmail.com
    orcid: https://orcid.org/0000-0003-1606-0844
  journal: International Journal of Statistics and Reliability Engineering
  year: '2022'
  volume: '9'
  issue: '3'
  start: '461'
  end: '474'
repository: https://shikhartyagi.r-universe.dev
commit: 2186e48d874cea3b85549f7393a4a05a1ae634eb
date-released: '2026-08-07'
contact:
- family-names: Tyagi
  given-names: Shikhar
  email: shikhar1093tyagi@gmail.com
  orcid: https://orcid.org/0000-0003-1606-0844
references:
- type: article
  title: Comparison of Multiplicative Frailty Models Under Weibull Baseline Distribution
  authors:
  - family-names: Pandey
    given-names: Arvind
  - family-names: Tyagi
    given-names: Shikhar
  journal: Lobachevskii Journal of Mathematics
  year: '2021'
  volume: '42'
  issue: '13'
  doi: 10.1134/S1995080222010140
  start: '3184'
  end: '3195'