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 paper, we provide the decay of correlations for random dynamical systems. Precisely, we consider the uniformly C^2 piecewise expanding maps defined on the unit interval satisfying a(T′_w)=…
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…
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…