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Titre: On the birthday problem : some generalizations and applications
Auteur(s): Rathie, Pushpa Narayan
Zörnig, Peter
Assunto:: Probabilidades
Paradoxo do aniversário
Testes de hipóteses estatísticas
Date de publication: 2003
Editeur: Hindawi Publishing Corporation
Référence bibliographique: RATHIE, P. N.; ZÖRNIG, P. On the birthday problem: some generalizations and applications. International Journal of Mathematics and Mathematical Sciences, Estados Unidos, v. 60, 2003. Disponível em: <http://www.hindawi.com/journals/ijmms/2003/949047/abs/>. Acesso em: 25 mar. 2013. DOI: 10.1155/S0161171203110101.
Résumé: 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.
Licença:: © 2003 Hindawi Publishing Corporation. This is an open access article distributed under theCreative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Fonte: http://www.hindawi.com/journals/ijmms/2003/949047/abs/. Acesso em: 25 mar. 2013.
DOI: https://dx.doi.org/10.1155/S0161171203110101
Collection(s) :Artigos publicados em periódicos e afins

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