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Teoriya Veroyatnostei i ee Primeneniya, 2017, Volume 62, Issue 3, Pages 617–628
DOI: https://doi.org/10.4213/tvp5125 (Mi tvp5125) 		 
Short Communications

A factorial moment distance and an application to the matching problem

G. Afendrasa, N. Papadatosb

a Department of Biostatistics, The State University of New York at Buffalo, Buffalo, NY, USA
b Department of Mathematics, University of Athens, Panepistemiopolis, Greece
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DOI: https://doi.org/10.4213/tvp5125
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.
Funding agency Grant number
National and Kapodistrian University of Athens 70/4/5637
ESF - European Social Fund
National Strategic Reference Framework 4357
This work was partially supported by the University of Athens' Research Fund under grant 70/4/5637. Research has been cofinanced by the European Union (European Social Fund — ESF) and Greek National Funds through the Operational Program “Education and Lifelong Learning” of the National Strategic Reference Framework (NSRF)—Research Funding Program: ARISTEIA, grant 4357.
Received: 30.10.2015
Revised: 07.03.2016
English version:
Theory of Probability and its Applications, 2018, Volume 62, Issue 3, Pages 496–504
DOI: https://doi.org/10.1137/S0040585X97T988769
Bibliographic databases:
Document Type: Article
Language: English
Citation: G. Afendras, N. Papadatos, “A factorial moment distance and an application to the matching problem”, Teor. Veroyatnost. i Primenen., 62:3 (2017), 617–628; Theory Probab. Appl., 62:3 (2018), 496–504
Citation in format AMSBIB
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