Work

Application of Ujlayan-Dixit Fractional Chi-Square Probability Distribution

Year: 2025

Type: article

Abstract: In this study, we take into account the Ujlayan-Dixit (UD) fractional derivative in order to introduce the fractional probability density function for the Chi-Square distribution (CSD), and to establish certain new applications for this distribution through the use of fractional concepts in probability theory, such as cumulative distribution, survival, and hazard functions. Furthermore, other ideas and applications for continuous random variables are developed using the UD fractional analogs of statistical measures, which are expectation, rth-moments, rth-central moments, variance, and standard deviation. Lastly, we provide the UD fractional entropy measures, including Shannon, Tsallis, and R´enyi entropy.

Source: Statistics Optimization & Information Computing

DOI: 10.19139/soic-2310-5070-2334

Authors: Iqbal H. Jebril, Raed Hatamleh, Iqbal Batiha, Nadia Allouch

Institutions: Al-Zaytoonah University of Jordan, Jadara University, Ajman University, Université de Mostaganem

Language: English

Topic: Statistical Mechanics and Entropy

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412020175

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