Package: BivLaplaceRL
Type: Package
Title: Bivariate Laplace Transforms, Stochastic Orders, and Entropy
        Measures in Reliability
Version: 1.0.0
Authors@R: c(
    person("Mahesh", "Divakaran",
           email = "imaheshdivakaran@gmail.com",
           role = c("aut", "cre"),
           comment = c(ORCID = "0000-0002-3488-0857",
                       affiliation = "Amity School of Applied Sciences, Amity University Lucknow")),
    person("S.", "Jayalekshmi",
           role = c("aut", "ctb"),
           comment = c(affiliation = "Department of Statistics, Cochin University of Science and Technology")),
    person("G.", "Rajesh",
           email = "rajeshgstat@gmail.com",
           role = c("aut"),
           comment = c(affiliation = "Department of Statistics, Cochin University of Science and Technology")),
    person("N. Unnikrishnan", "Nair",
           role = c("aut"),
           comment = c(affiliation = "Department of Statistics, Cochin University of Science and Technology"))
  )
Description: Implements methods for bivariate and univariate Laplace transforms
    of residual lives and reversed residual lives, associated stochastic ordering
    concepts, and entropy measures for reliability analysis. The package covers:
    (1) Bivariate Laplace transform of residual lives and stochastic comparisons
    based on the bivariate Laplace transform order of residual lives (BLt-rl),
    including weak bivariate hazard rate, mean residual life, and relative mean
    residual life orders, nonparametric estimation, and NBUHR/NWUHR aging class
    characterisation; Jayalekshmi, Rajesh, and Nair (2022)
    "Bivariate Laplace Transform of Residual Lives and Their Properties"
    <doi:10.1080/03610926.2022.2085874>;
    (2) Bivariate Laplace transform order of reversed residual lives (BLt-Rrl),
    reversed hazard gradient, reversed mean residual life, and the associated
    stochastic orders (weak bivariate reversed hazard rate, weak bivariate
    reversed mean residual life); Jayalekshmi, Rajesh, and Nair (2022)
    "Bivariate Laplace Transform Order and Ordering of Reversed Residual Lives"
    <doi:10.1142/S0218539322500061>;
    (3) Univariate Laplace transform of residual life, hazard rate, mean residual
    life, and the corresponding stochastic orders (Lt-rl order, hazard rate order,
    MRL order), together with a nonparametric estimator.
    Shannon entropy and Golomb's (1966) information generating function are also
    provided. Parametric families supported include the Gumbel bivariate
    exponential, Farlie-Gumbel-Morgenstern (FGM), bivariate power, and
    Schur-constant distributions. Plotting utilities and a simulation framework
    for evaluating estimator performance are also provided.
License: GPL-3
URL: https://itsmdivakaran.github.io/BivLaplaceRL/,
        https://github.com/itsmdivakaran/BivLaplaceRL
BugReports: https://github.com/itsmdivakaran/BivLaplaceRL/issues
Encoding: UTF-8
Config/Needs/website: pkgdown
RoxygenNote: 7.3.3
Depends: R (>= 4.1.0)
Imports: stats, graphics
Suggests: testthat (>= 3.0.0), knitr, rmarkdown, MASS, survival, covr
VignetteBuilder: knitr
Config/testthat/edition: 3
NeedsCompilation: yes
Language: en-GB
Packaged: 2026-04-30 06:21:52 UTC; maheshdivakaran
Author: Mahesh Divakaran [aut, cre] (ORCID:
    <https://orcid.org/0000-0002-3488-0857>, affiliation: Amity School
    of Applied Sciences, Amity University Lucknow),
  S. Jayalekshmi [aut, ctb] (affiliation: Department of Statistics,
    Cochin University of Science and Technology),
  G. Rajesh [aut] (affiliation: Department of Statistics, Cochin
    University of Science and Technology),
  N. Unnikrishnan Nair [aut] (affiliation: Department of Statistics,
    Cochin University of Science and Technology)
Maintainer: Mahesh Divakaran <imaheshdivakaran@gmail.com>
Repository: CRAN
Date/Publication: 2026-04-30 10:40:02 UTC
Built: R 4.6.0; ; 2026-04-30 11:22:27 UTC; unix
