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

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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 
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     author = {Kostadinova, Krasimira Y. and Minkova, Leda D.},
     title = {Type {II} family of bivariate inflated-parameter generalized power series distributions},
     journal = {Serdica Mathematical Journal},
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     publisher = {mathdoc},
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     number = {1},
     year = {2016},
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     url = {http://geodesic.mathdoc.fr/item/SMJ2_2016_42_1_a2/}
}
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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/