12 citations · 30 across the 17 of their papers we have counts for
17 papers
Elementary asymptotics for the Stirling numbers of the second kind: The central range
Hsien-Kuei Hwang, Chong-Yi Li, Vytas Zacharovas
We derive the local and central limit theorems for the Stirling numbers of the second kind by elementary means, obtaining as corollaries effective asymptotic estimates for the Bell…
An Elementary Approach to Depoissonization
Vytas Zacharovas
We study depoissonization for sequences with entire exponential generating functions. We establish explicit finite-order remainder bounds for Poisson--Charlier approximations, cont…
Convergence in Distance to the Normal Distribution for Sums of Independent Random Variables
Vytas Zacharovas
Suppose independent random variables have zero mean and equal variance. We prove that if the average of distances between these variables and the n…
Poisson approximation in distance by Chen-Stein approach
Vytas Zacharovas
The main purpose of the paper is to investigate the possibility of applying Chen-Stein approach to estimate the distance between Poisson distribution and a sum of independent…
Inter-state switching in stochastic gene expression: Exact solution, an adiabatic limit and oscillations in molecular distributions
K. G. Petrosyan
We consider the stochastic gene expression process with inter-state flip-flops. An exact steady-state solution to the master equation is calculated. One of the main goals in this p…
The estimate of distance between binomial and generalized binomial distributions
Vytas Zacharovas
We obtain the estimate of difference between binomial and generalized binomial distributions in metric and in several other related metrics