http://repositorio.unb.br/handle/10482/12774| Fichier | Description | Taille | Format | |
|---|---|---|---|---|
| ARTIGO_BirthdayProblemGeneralizations.pdf | 147,34 kB | Adobe PDF | Voir/Ouvrir |
| 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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