dc.contributor.author |
I. Alhribat |
|
dc.contributor.author |
M. H. Samuh |
|
dc.date.accessioned |
2023-08-10T07:30:15Z |
|
dc.date.available |
2023-08-10T07:30:15Z |
|
dc.date.issued |
2023-06 |
|
dc.identifier.citation |
Doi : https://doi.org/10.47013/16.2.11 |
en_US |
dc.identifier.issn |
P-ISSN 2075 -7905, E-ISSN 2227-5487 |
|
dc.identifier.uri |
http://localhost:8080/xmlui/handle/123456789/8933 |
|
dc.description.abstract |
In a recent paper of Dixit and Ujlayan (UD), a new fractional derivative is introduced as a convex combination of the function and its first derivative; that is
Dα f(x) = (1 − α)f(x) + αf′(x).
In this article, a new technique of generating fractional continuous probability distributions by solving UD fractional differential equations that associated to well-known continuous probability distributions is presented. In particular, the UD fractional probability distributions for the Exponential, Pareto, Lomax, and Levy distributions are generated. Finally, a real data application is considered for investigating the usefulness of the new fractional distributions. The results reveal that the pro posed new fractional distribution performs better than the baseline distribution. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Jordan Journal of Mathematics and Statistics(JJMS) |
en_US |
dc.relation.ispartofseries |
16 (2);379 - 396 |
|
dc.subject |
Conformable fractional derivative, fractional derivative, fractional differential equation, fractional probability distribution, probability distribution, UD derivative. |
en_US |
dc.title |
Generating Statistical Distributions using Fractional Differential Equations |
en_US |
dc.type |
Article |
en_US |