On the generalization and estimation for the double Poisson distribution.

Mohamed M. Shoukri

Trabajos de Estadística e Investigación Operativa (1982)

  • Volume: 33, Issue: 2, page 97-109
  • ISSN: 0041-0241

Abstract

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The bivariate forms of many important discrete probability distributions have been studied by many statisticians. The trinomial, the double Poisson, the bivariate negative binomial, and the bivariate logarithmic series distributions are in fact the bivariate generalizations of the well known univariate distributions. A systematic account of various families of distributions of bivariate discrete random variables have been given by Patil and Joshi (11), Johnson and Kotz (4), and Mardia (9) in their books.In this paper we introduce a new generalized form for the double Poisson distribution given by Joshi (5), and we discuss some of its interesting properties and applications.

How to cite

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Shoukri, Mohamed M.. "On the generalization and estimation for the double Poisson distribution.." Trabajos de Estadística e Investigación Operativa 33.2 (1982): 97-109. <http://eudml.org/doc/40683>.

@article{Shoukri1982,
abstract = {The bivariate forms of many important discrete probability distributions have been studied by many statisticians. The trinomial, the double Poisson, the bivariate negative binomial, and the bivariate logarithmic series distributions are in fact the bivariate generalizations of the well known univariate distributions. A systematic account of various families of distributions of bivariate discrete random variables have been given by Patil and Joshi (11), Johnson and Kotz (4), and Mardia (9) in their books.In this paper we introduce a new generalized form for the double Poisson distribution given by Joshi (5), and we discuss some of its interesting properties and applications.},
author = {Shoukri, Mohamed M.},
journal = {Trabajos de Estadística e Investigación Operativa},
keywords = {Distribución de probabilidad; Estimador puntual; generalized double Poisson distribution; maximum likelihood; minimum variance unbiased estimators; recurrence relations; moments; Bayesian estimators},
language = {eng},
number = {2},
pages = {97-109},
title = {On the generalization and estimation for the double Poisson distribution.},
url = {http://eudml.org/doc/40683},
volume = {33},
year = {1982},
}

TY - JOUR
AU - Shoukri, Mohamed M.
TI - On the generalization and estimation for the double Poisson distribution.
JO - Trabajos de Estadística e Investigación Operativa
PY - 1982
VL - 33
IS - 2
SP - 97
EP - 109
AB - The bivariate forms of many important discrete probability distributions have been studied by many statisticians. The trinomial, the double Poisson, the bivariate negative binomial, and the bivariate logarithmic series distributions are in fact the bivariate generalizations of the well known univariate distributions. A systematic account of various families of distributions of bivariate discrete random variables have been given by Patil and Joshi (11), Johnson and Kotz (4), and Mardia (9) in their books.In this paper we introduce a new generalized form for the double Poisson distribution given by Joshi (5), and we discuss some of its interesting properties and applications.
LA - eng
KW - Distribución de probabilidad; Estimador puntual; generalized double Poisson distribution; maximum likelihood; minimum variance unbiased estimators; recurrence relations; moments; Bayesian estimators
UR - http://eudml.org/doc/40683
ER -

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