Package: BivLaplaceRL
Type: Package
Title: Bivariate Laplace Transforms, Stochastic Orders, and Entropy
        Measures in Reliability
Version: 0.2.0
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"),
           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")),
    person("Smitha", "S.",
           role = c("aut"),
           comment = c(affiliation = "K. E. College, Mannanam"))
  )
Description: Implements methods for bivariate Laplace transforms of residual lives and
    reversed residual lives, associated stochastic ordering concepts, and dynamic entropy
    measures for reliability analysis. The package covers three primary research areas:
    (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, <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);
    (3) Residual entropy generating function, a dynamic version of Golomb's (1966)
    information generating function whose derivative yields the residual entropy of
    Ebrahimi and Pellerey (1995), with nonparametric estimation and distribution
    characterisation.  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: 2026-04-29 07:42:33 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] (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),
  Smitha S. [aut] (affiliation: K. E. College, Mannanam)
Maintainer: Mahesh Divakaran <imaheshdivakaran@gmail.com>
Repository: CRAN
Date/Publication: 2026-04-29 19:10:20 UTC
