3 citations · 6 across the 6 of their papers we have counts for
4 papers · 1 filter
Strong laws of large numbers for arrays of random variables and stable random fields
Erkan Nane, Yimin Xiao, Aklilu Zeleke
Strong laws of large numbers are established for random fields with weak or strong dependence. These limit theorems are applicable to random fields with heavy-tailed distributions…
Exponential Order Statistics, the Basel problem and Combinatorial Identities
P. Vellaisamy, A. Zeleke
We consider the k-th order statistic from unit exponential distribution and show that it can be represented as a sum of independent exponential random variables. Our proof is simpl…
A Strong Law of Large Numbers with Applications to Self-Similar Stable Processes
Erkan Nane, Yimin Xiao, Aklilu Zeleke
Let be a constant and let be a sequence of random variables. For any integers , denote $S_{m, n} = \sum_{k…
The Effect of Finite Memory Cutoff on Loop Erased Walk in Z^3
Wei-Shih Yang, Aklilu Zeleke
Let ζbe the intersection exponent of random walks in Z^3 and αbe a positive real number. We construct a stochastic process from a simple random walk by erasing loops of length at m…