Geodesic
Type II family of bivariate inflated-parameter generalized power series distributions
Serdica Mathematical Journal, Tome 42 (2016) no. 1, pp. 027-042.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

The family of Inflated–parameter Generalized Power Series distributions (IGPSD) was introduced by Minkova in 2002 as a compound Generalized Power Series distributions (GPSD) with geometric compounding distribution. In this paper we introduce a family of compound GPSDs with bivariate geometric compounding distribution. The probability mass function, recursion formulas, conditional distributions and some properties are given. A member of this family is a Type II bivariate Pólya-Aeppli distribution, introduced by Minkova and Balakrishanan [7]. In this paper the particular cases of bivariate compound binomial, negative binomial and logarithmic series distributions are analyzed in detail and compared by the bivariate Fisher index of dispersion.
Keywords: Compound distributions, bivariate geometric distribution, inflated-parameter distributions, 60E05, 62P05 
@article{SMJ2_2016_42_1_a2,
     author = {Kostadinova, Krasimira Y. and Minkova, Leda D.},
     title = {Type {II} family of bivariate inflated-parameter generalized power series distributions},
     journal = {Serdica Mathematical Journal},
     pages = {027--042},
     publisher = {mathdoc},
     volume = {42},
     number = {1},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2016_42_1_a2/}
}
TY  - JOUR
AU  - Kostadinova, Krasimira Y.
AU  - Minkova, Leda D.
TI  - Type II family of bivariate inflated-parameter generalized power series distributions
JO  - Serdica Mathematical Journal
PY  - 2016
SP  - 027
EP  - 042
VL  - 42
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2016_42_1_a2/
LA  - en
ID  - SMJ2_2016_42_1_a2
ER  - 
%0 Journal Article
%A Kostadinova, Krasimira Y.
%A Minkova, Leda D.
%T Type II family of bivariate inflated-parameter generalized power series distributions
%J Serdica Mathematical Journal
%D 2016
%P 027-042
%V 42
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_2016_42_1_a2/
%G en
%F SMJ2_2016_42_1_a2
Kostadinova, Krasimira Y.; Minkova, Leda D. Type II family of bivariate inflated-parameter generalized power series distributions. Serdica Mathematical Journal, Tome 42 (2016) no. 1, pp. 027-042. http://geodesic.mathdoc.fr/item/SMJ2_2016_42_1_a2/