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: no
Language: en-GB
Repository: https://itsmdivakaran.r-universe.dev
Date/Publication: 2026-04-30 12:49:50 UTC
RemoteUrl: https://github.com/itsmdivakaran/bivlaplacerl
RemoteRef: HEAD
RemoteSha: 42adf8060a8855c21425dbe17c08168a8b7ab942
Packaged: 2026-09-18 06:46:43 UTC; root
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>