Characterizacion of the bivariate discrete distributions defined by a partial difference equations system

• Autores: Ramón Gutiérrez Jáimez, Miguel Ángel Fajardo Caldera
• Localización: Trabajos de estadística, ISSN 0213-8190, Vol. 3, Nº. 1, 1988, págs. 3-13
• Idioma: inglés
• Títulos paralelos:
  • Caracterización de las distribuciones bivariantes discretas definidas por un sistema de ecuaciones en diferencias parciales
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• Resumen

  • Conditions under which the solutions of a partial difference equations system can be probability functions are examined.

    When the coefficients of the system are polynomials then the partial difference equations system satisfied by generating functions associated to these distributions are easily obtained; they give useful recurrence relations for the moments. Three examples are given as well