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Mohamed Abdullah Abdelkader

Assistant Professor

Assistant Professor

كليات العلوم
2B27 - Statistics and Operations Research Department - Faculty of Science
publication
Journal Article
2024

Three-Dimensional Moran Walk with Resets

In this current paper, we propose to study a three-dimensional Moran model (X^{(1)}_n, X^{(2)}_n,X^{(3)}_n, where each random walk (X^{(i)}_n∈{1,2,3} increases by one unit or is reset to zero at each unit of time. We analyze the joint law of its final altitude X_n=max(X^{(1)}_n, X^{(2)}_n,X^{(3)}_n via the moment generating tools. Furthermore, we show that the limit distribution of each random walk follows a shifted geometric distribution with parameter 1−q_i, and we analyze the maximum of these three walks, also giving explicit expressions for the mean and variance.

Publisher Name
Symmetry Journal
more of publication
publications
by Mohamed Abdelkader
2023
Published in:
Mathematics Journal
publications

In this current paper, we propose to study a three-dimensional Moran model (X^{(1)}_n, X^{(2)}_n,X^{(3)}_n, where each random walk (X^{(i)}_n∈{1,2,3} increases by one unit or is reset to zero at…

by Mohamed Abdelkader
2024
Published in:
Symmetry Journal
publications

The study assessed the effect of six weeks of biweekly upper and lower limbs’ weighted-belt resisted sprint training (BRST) and weighted-vest resisted sprint training (VRST), or normal sprint…

by Emna Makni, Firas Zghal, Raouf Hammami, Mohamed Abdelkader, Raghad Tarwneh ,Mohamed Elloumi
2024
Published in:
Biology of Sport