Application of Ujlayan-Dixit (UD) Fractional Gamma With Two-Parameters Probability Distribution

  • Iqbal H. Jebril Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan
  • Iqbal Batiha Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan; Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE
  • Nadia Allouch Laboratory of pure and applied mathematics, University of Mostaganem, Algeria
DOI: https://doi.org/10.19139/soic-2310-5070-2591
Keywords: Gamma with two parameters distribution, Continuous random variables, Probability distribution, UD fractional derivative, Entropy

Abstract

The main goal in this research is to use the Ujlayan-Dixit (UD) fractional derivative to generate a new fractional probability density function for the two-parameters gammadistribution, and develop some applications of this new distribution like cumulative distribution, survival and hazard functions. Additionally, we will establish other conceptsand applications for continuous random variables by applying the UD fractional analogues of statistical measures including expectation, rth-moments, rth-central moments,variance and standard deviation. Finally, the UD fractional entropy measures, such as Shannon, Tsallis, and R´enyi entropy, are explained.
Published
2025-09-09
How to Cite
Jebril, I. H., Batiha, I., & Allouch, N. (2025). Application of Ujlayan-Dixit (UD) Fractional Gamma With Two-Parameters Probability Distribution. Statistics, Optimization & Information Computing, 14(4), 2104-2117. https://doi.org/10.19139/soic-2310-5070-2591
Issue
Vol 14 No 4 (2025)
Section
Research Articles
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