Discrete generalized Liouville-type distribution and related multivariate distributions.

G. S. Lingappaiah

Trabajos de Estadística e Investigación Operativa (1984)

  • Volume: 35, Issue: 3, page 319-330
  • ISSN: 0041-0241

Abstract

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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.

How to cite

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Lingappaiah, G. S.. "Discrete generalized Liouville-type distribution and related multivariate distributions.." Trabajos de Estadística e Investigación Operativa 35.3 (1984): 319-330. <http://eudml.org/doc/40780>.

@article{Lingappaiah1984,
abstract = {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.},
author = {Lingappaiah, G. S.},
journal = {Trabajos de Estadística e Investigación Operativa},
keywords = {Análisis multivariante; Distribución binomial; Distribución asintótica; parameter estimation; discrete generalised Liouville-type distribution; covariance matrix; partial and multiple correlations; Multinomial; multivariate negative binomial; multivariate log series distributions},
language = {eng},
number = {3},
pages = {319-330},
title = {Discrete generalized Liouville-type distribution and related multivariate distributions.},
url = {http://eudml.org/doc/40780},
volume = {35},
year = {1984},
}

TY - JOUR
AU - Lingappaiah, G. S.
TI - Discrete generalized Liouville-type distribution and related multivariate distributions.
JO - Trabajos de Estadística e Investigación Operativa
PY - 1984
VL - 35
IS - 3
SP - 319
EP - 330
AB - 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.
LA - eng
KW - Análisis multivariante; Distribución binomial; Distribución asintótica; parameter estimation; discrete generalised Liouville-type distribution; covariance matrix; partial and multiple correlations; Multinomial; multivariate negative binomial; multivariate log series distributions
UR - http://eudml.org/doc/40780
ER -

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