Year: 2025
Type: article
Abstract: In statistics, recent research has focused on developing new probability distributions that are better suited to modeling complex data than classical distributions. Such extensions typically involve applying mathematical transformations to a baseline cumulative distribution function (cdf), often introducing additional parameters. If these parameters are not properly defined, the resulting cdf may be ill-defined, potentially leading to erroneous conclusions in applications. In this note, we examine the formula for the quartic transmutation of probability distributions proposed by AL-Kadim [Journal of University of Babylon for Pure and Applied Sciences, 26(4):66–74, 2018]. We identify and correct an error in the original paper by specifying a new parameter space that guarantees the resulting cdf is well-defined.
Source: Malaya Journal of Matematik
DOI: 10.26637/mjm1304/002
Institutions: University of Kara, University of Lomé
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7127360232