International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2003 / Article

Open Access

Volume 2003 |Article ID 949047 | https://doi.org/10.1155/S0161171203110101

P. N. Rathie, P. Zörnig, "On the birthday problem: some generalizations and applications", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 949047, 14 pages, 2003. https://doi.org/10.1155/S0161171203110101

On the birthday problem: some generalizations and applications

Received03 Oct 2001

Abstract

We study the birthday problem and some possible extensions. We discuss the unimodality of the corresponding exact probability distribution and express the moments and generating functions by means of confluent hypergeometric functions U(;;) which are computable using the software Mathematica. The distribution is generalized in two possible directions, one of them consists in considering a random graph with a single attracting center. Possible applications are also indicated.

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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