BivLaplaceRL: Bivariate Laplace Transforms, Stochastic Orders, and Entropy
Measures in Reliability
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.
| Version: |
0.2.0 |
| Depends: |
R (≥ 4.1.0) |
| Imports: |
stats, graphics |
| Suggests: |
testthat (≥ 3.0.0), knitr, rmarkdown, MASS, survival, covr |
| Published: |
2026-04-29 |
| DOI: |
10.32614/CRAN.package.BivLaplaceRL (may not be active yet) |
| Author: |
Mahesh Divakaran 
[aut, cre] (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 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:
Linking:
Please use the canonical form
https://CRAN.R-project.org/package=BivLaplaceRL
to link to this page.