Moran random walk with reset and short memory
We investigated the statistical properties of the Moran random walk (Y_n)_n in one dimension, focusing on short memory. Specifically, employing generating function techniques, we determined the cumulative distribution function and the mean of the height H_n. Furthermore, we derived explicit expressions for the distribution, mean, and variance of Y_n, along with its asymptotic distribution. Finally, we provided the distribution of the waiting time τ_h, which represents the number of steps required to reach a specified level h, as the conclusion of our study.
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…
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…