Multivariate negative binomial distributions generated by multivariate exponential distributions
Applicationes Mathematicae, Tome 25 (1999) no. 4, pp. 463-472
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We define a multivariate negative binomial distribution (MVNB) as a bivariate Poisson distribution function mixed with a multivariate exponential (MVE) distribution. We focus on the class of MVNB distributions generated by Marshall-Olkin MVE distributions. For simplicity of notation we analyze in detail the class of bivariate (BVNB) distributions. In applications the standard data from [2] and [7] and data concerning parasites of birds from [4] are used.
DOI :
10.4064/am-25-4-463-472
Keywords:
bivariate geometrical distribution, multivariate exponential distribution, multivariate negative binomial distribution
Affiliations des auteurs :
Bolesław Kopociński 1
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author = {Boles{\l}aw Kopoci\'nski},
title = {Multivariate negative binomial distributions generated by multivariate exponential distributions},
journal = {Applicationes Mathematicae},
pages = {463--472},
year = {1999},
volume = {25},
number = {4},
doi = {10.4064/am-25-4-463-472},
zbl = {1051.62512},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-25-4-463-472/}
}
TY - JOUR AU - Bolesław Kopociński TI - Multivariate negative binomial distributions generated by multivariate exponential distributions JO - Applicationes Mathematicae PY - 1999 SP - 463 EP - 472 VL - 25 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4064/am-25-4-463-472/ DO - 10.4064/am-25-4-463-472 LA - en ID - 10_4064_am_25_4_463_472 ER -
%0 Journal Article %A Bolesław Kopociński %T Multivariate negative binomial distributions generated by multivariate exponential distributions %J Applicationes Mathematicae %D 1999 %P 463-472 %V 25 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4064/am-25-4-463-472/ %R 10.4064/am-25-4-463-472 %G en %F 10_4064_am_25_4_463_472
Bolesław Kopociński. Multivariate negative binomial distributions generated by multivariate exponential distributions. Applicationes Mathematicae, Tome 25 (1999) no. 4, pp. 463-472. doi: 10.4064/am-25-4-463-472
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