Application of Ujlayan-Dixit Fractional Exponential Probability Distribution
Keywords:
Probability Distribution, Exponential Distribution, UD Fractional Derivative, Entropy
Abstract
This research aims to present the probability density functions of random variables for exponential distribution by applying a new technique of the Ujlayan-Dixit (UD) fractionalde rivative and to find some basic concepts related to probability distributions of random variables, which are density, cumulative distribution, survival, and hazard functions. In addition, we provide the UD fractional isotopes with the expected values, rth moments, rth central moments, mean, variace, skewness, and kurtosis. Finally, we give the UD fractional analogs to some entropy measures such as Shannon, Renyi, and Tsallis entropy.
Published
2025-06-03
How to Cite
Jebril, I. H., Hatamleh, R., Batiha, I., & Allouch, N. (2025). Application of Ujlayan-Dixit Fractional Exponential Probability Distribution. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2346
Issue
Section
Research Articles
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