Short Communications

A factorial moment distance and an application to the matching problem

G. Afendras^a, N. Papadatos<sup>b

a</sup> Department of Biostatistics, The State University of New York at Buffalo, Buffalo, NY, USA
^b Department of Mathematics, University of Athens, Panepistemiopolis, Greece

Abstract: In this note we introduce the notion of factorial moment distance for nonnegative integer-valued random variables, and we compare it with the total variation distance. Furthermore, we study the rate of convergence in the classical matching problem and in a generalized matching distribution.

Keywords: factorial moment distance, total variation distance, matching problem.

Received: 30.10.2015
Revised: 07.03.2016

Language: English

DOI: 10.4213/tvp5125

 English version: Theory of Probability and its Applications, 2018, 62:3, 496–504

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