BivLaplaceRL: Bivariate Laplace Transforms, Stochastic Orders, and Entropy
Measures in Reliability
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.
| Version: |
1.0.0 |
| Depends: |
R (≥ 4.1.0) |
| Imports: |
stats, graphics |
| Suggests: |
testthat (≥ 3.0.0), knitr, rmarkdown, MASS, survival, covr |
| Published: |
2026-04-30 |
| DOI: |
10.32614/CRAN.package.BivLaplaceRL |
| Author: |
Mahesh Divakaran 
[aut, cre] (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 at gmail.com> |
| BugReports: |
https://github.com/itsmdivakaran/BivLaplaceRL/issues |
| License: |
GPL-3 |
| URL: |
https://itsmdivakaran.github.io/BivLaplaceRL/,
https://github.com/itsmdivakaran/BivLaplaceRL |
| NeedsCompilation: |
yes |
| Language: |
en-GB |
| Citation: |
BivLaplaceRL citation info |
| Materials: |
README, NEWS |
| CRAN checks: |
BivLaplaceRL results |
Documentation:
Downloads:
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