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# CITATION file created with {cffr} R package
# See also: https://docs.ropensci.org/cffr/
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cff-version: 1.2.0
message: 'To cite package "BivLaplaceRL" in publications use:'
type: software
license: GPL-3.0-only
title: 'BivLaplaceRL: Bivariate Laplace Transforms, Stochastic Orders, and Entropy
  Measures in Reliability'
version: 1.0.0
doi: 10.1080/03610926.2022.2085874
identifiers:
- type: doi
  value: 10.32614/CRAN.package.BivLaplaceRL
abstract: '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" <https://doi.org/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" <https://doi.org/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.'
authors:
- family-names: Divakaran
  given-names: Mahesh
  email: imaheshdivakaran@gmail.com
  orcid: https://orcid.org/0000-0002-3488-0857
  affiliation: Amity School of Applied Sciences
- family-names: Jayalekshmi
  given-names: S.
  affiliation: Department of Statistics
- family-names: Rajesh
  given-names: G.
  email: rajeshgstat@gmail.com
  affiliation: Department of Statistics
- family-names: Nair
  given-names: N. Unnikrishnan
  affiliation: Department of Statistics
preferred-citation:
  type: article
  title: Bivariate Laplace transform of residual lives and their properties
  authors:
  - family-names: Jayalekshmi
    given-names: S.
    affiliation: Department of Statistics
  - family-names: Rajesh
    given-names: G.
    email: rajeshgstat@gmail.com
    affiliation: Department of Statistics
  - family-names: Nair
    given-names: N. Unnikrishnan
    affiliation: Department of Statistics
  journal: Communications in Statistics - Theory and Methods
  year: '2022'
  doi: 10.1080/03610926.2022.2085874
repository: https://itsmdivakaran.r-universe.dev
repository-code: https://github.com/itsmdivakaran/BivLaplaceRL
commit: 42adf8060a8855c21425dbe17c08168a8b7ab942
url: https://itsmdivakaran.github.io/BivLaplaceRL/
date-released: '2026-04-30'
contact:
- family-names: Divakaran
  given-names: Mahesh
  email: imaheshdivakaran@gmail.com
  orcid: https://orcid.org/0000-0002-3488-0857
  affiliation: Amity School of Applied Sciences
references:
- type: article
  title: On residual entropy generating function
  authors:
  - family-names: S.
    given-names: Smitha
  - family-names: Rajesh
    given-names: G.
  - family-names: Jayalekshmi
    given-names: S.
  journal: Journal of the Indian Statistical Association
  year: '2024'
  volume: '62'
  issue: '1'
  start: '81'
  end: '93'