autorelevate: The Autorelevated Family of Probability Distributions and Estimation Methods

Implements the autorelevated family of probability distributions, obtained by applying the autorelevation transformation of Krakowski (1973) <doi:10.1051/ro/197307V201071> and Dileepkumar and Sankaran (2022) to ten baseline probability distributions: Weibull, Lomax, Burr XII, Gompertz, Log-Logistic, Chen, Exponentiated Exponential, Power Lindley, Log-normal, and Gamma. The Weibull member of the family is studied in detail by Dileep Kumar, Shabeer, and Sankaran (2025) <doi:10.1080/01966324.2026.2665479>. The Lomax member is studied by Sharma, Pal, Bhardwaj, and Tyagi (2026, submitted), who establish its upside-down bathtub hazard shape. Supplies vectorized density, distribution, survival, hazard, quantile (via the negative branch of the Lambert W function), and random-generation functions for all ten members of the family. It also implements Maximum Likelihood, Maximum Product of Spacings, Least Squares, Weighted Least Squares, and Cramer-von Mises estimation methods along with a Kolmogorov-Smirnov goodness-of-fit test, a Total Time on Test plot, and model selection by AIC, BIC, CAIC, and HQIC. It also includes a bundled bladder cancer remission dataset (Lee and Wang, 2003) for illustration.

Version:	0.1.0
Depends:	R (≥ 3.5)
Imports:	stats, graphics, utils
Suggests:	testthat (≥ 3.0.0), knitr, rmarkdown, spelling
Published:	2026-09-15
DOI:	10.32614/CRAN.package.autorelevate (may not be active yet)
Author:	Vikas Kumar Sharma [aut, cre]
Maintainer:	Vikas Kumar Sharma <vksharma at bhu.ac.in>
BugReports:	https://github.com/vksharma-bhu/autorelevate/issues
License:	MIT + file LICENSE
URL:	https://github.com/vksharma-bhu/autorelevate
NeedsCompilation:	no
Language:	en-US
Citation:	autorelevate citation info
Materials:	README, NEWS
CRAN checks:	autorelevate results

Documentation:

Reference manual:	autorelevate.html , autorelevate.pdf
Vignettes:	Getting Started with autorelevate (source, R code)

Downloads:

Package source:	autorelevate_0.1.0.tar.gz
Windows binaries:	r-devel: not available, r-release: not available, r-oldrel: not available
macOS binaries:	r-release (arm64): not available, r-oldrel (arm64): autorelevate_0.1.0.tgz, r-release (x86_64): autorelevate_0.1.0.tgz, r-oldrel (x86_64): autorelevate_0.1.0.tgz

Linking:

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