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Generating novel probability distributions: A UD fractional derivative approach

Alaa Jamal et al.

Journal of Statistical Research2025https://doi.org/10.3329/jsr.v58i2.80609article
ABDC C
Weight
0.37

What the paper says

This study introduces novel probability distributions derived from the Dixit and Ujlayan (UD) fractional differential equation. By applying the UD fractional differential equation to established continuous probability distributions, new probability distributions are formulated. The resulting UD fractional probability distributions extend classical distributions such as the gamma, power function, arcsine, and beta distributions, thereby expanding the theoretical framework for probability modeling. An application of the UD fractional Beta distribution to a real-world dataset demonstrates its superior flexibility and adaptability compared to the classical Beta distribution, particularly in modeling skewed and bounded data. These findings underscore the potential of UD fractional distributions in addressing complex data modeling challenges across diverse fields. Journal of Statistical Research 2024, Vol. 58, No. 2, pp. 279-298

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https://doi.org/https://doi.org/10.3329/jsr.v58i2.80609

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@article{alaa2025,
  title        = {{Generating novel probability distributions: A UD fractional derivative approach}},
  author       = {Alaa Jamal et al.},
  journal      = {Journal of Statistical Research},
  year         = {2025},
  doi          = {https://doi.org/https://doi.org/10.3329/jsr.v58i2.80609},
}

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Evidence weight

0.37

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.16 × 0.4 = 0.06
M · momentum0.53 × 0.15 = 0.08
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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