Discrete generalized Liouville-type distribution and related multivariate distributions

• Autores: G. S. Lingappaiah
• Localización: Trabajos de estadística e investigación operativa, ISSN 0041-0241, Vol. 35, Nº. 3, 1984, págs. 319-330
• Idioma: español
• Títulos paralelos:
  • Distribución discreta tipo Liouville generalizado y distribuciones multivariantes relacionadas
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• Resumen

  • Discrete analogue of the Liouville distribution is defined and is termed as Discrete Generalized Liouville-Type Distribution (DGL-TD). Firstly, properties in its factorial and ordinary moments are given. Then by finding the covariance matrix, partial and multiple correlations for DGL-TD are evaluated. Multinomial, multivariate negative binomial and multivariate log series distributions are shown as particular cases of this general distribution. The asymptotic distribution of the estimates of the parameters is also attempted.