On Discrete Multivariate Distributions Symmetric in Frequencies.

• Autores: A. Conde, Antonio José Sáez Castillo, Julio Rodríguez Puerta, María José Olmo Jiménez
• Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 12, Nº. 2, 2003, págs. 459-480
• Idioma: inglés
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• Resumen

  • In this paper we describe a new class of discrete multivariate distributions which verify that their probability mass function is invariant when their univariate variables are permuted. These distributions may be generated by a multivariate extension of the Gauss function 2F1 with matrix argument. A methodology that permits the fit of these distributions to real data is developed. A fit of a distribution for bivariate real data is shown and is compared with fits obtained by means of other usual bivariate distributions generated by extensions of the Gauss function.