7 citations · 10 across the 8 of their papers we have counts for
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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…
On the exponential decay of the characteristic function of the quicksort distribution
Vytas Zacharovas
We prove that the characteristic function of the quicksort distribution is exponentially decreasing at infinity. As a consequence it follows that the density of the quicksort distr…
An analytic approach to the asymptotic variance of trie statistics and related structures
Michael Fuchs, Hsien-Kuei Hwang, Vytas Zacharovas
We develop analytic tools for the asymptotics of general trie statistics, which are particularly advantageous for clarifying the asymptotic variance. Many concrete examples are dis…
Distribution of Random Variables on the Symmetric Group
Vytas Zacharovas
The well known Erdos-Turan law states that the logarithm of an order of a random permutation is asymptotically normally distributed. The aim of this work is to estimate convergence…