<?xml version="1.0" encoding="UTF-8"?>
<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:title>The Autorelevated Family of Probability Distributions and
Estimation Methods</dc:title>
  <dc:title>R package autorelevate version 0.1.0</dc:title>
  <dc:description>Implements the autorelevated family of probability
    distributions, obtained by applying the autorelevation
    transformation of Krakowski (1973) &lt;doi:10.1051/ro/197307V201071&gt; 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) &lt;doi:10.1080/01966324.2026.2665479&gt;. 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.</dc:description>
  <dc:type>Software</dc:type>
  <dc:relation>Depends: R (&gt;= 3.5)</dc:relation>
  <dc:relation>Imports: stats, graphics, utils</dc:relation>
  <dc:relation>Suggests: testthat (&gt;= 3.0.0), knitr, rmarkdown, spelling</dc:relation>
  <dc:creator>Vikas Kumar Sharma &lt;vksharma@bhu.ac.in&gt;</dc:creator>
  <dc:publisher>Comprehensive R Archive Network (CRAN)</dc:publisher>
  <dc:contributor>Vikas Kumar Sharma [aut, cre]</dc:contributor>
  <dc:rights>MIT + file LICENSE (https://CRAN.R-project.org/package=autorelevate/LICENSE)</dc:rights>
  <dc:date>2026-09-15</dc:date>
  <dc:format>application/tgz</dc:format>
  <dc:identifier>https://CRAN.R-project.org/package=autorelevate</dc:identifier>
  <dc:identifier>doi:10.32614/CRAN.package.autorelevate</dc:identifier>
  <dc:language>en-US</dc:language>
</oai_dc:dc>
