Geodesic
Generalized geometric stable distributions
Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 8, Tome 166 (1988), pp. 155-159

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A class of distributions is presented here which is geometrically infinitely divisible and which is a generalisation of the geometrically stable distributions. Two characterizations of the distributions are given. 
@article{ZNSL_1988_166_a16,
     author = {R. N. Pillai},
     title = {Generalized geometric stable distributions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {155--159},
     publisher = {mathdoc},
     volume = {166},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_166_a16/}
}
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R. N. Pillai. Generalized geometric stable distributions. Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 8, Tome 166 (1988), pp. 155-159. http://geodesic.mathdoc.fr/item/ZNSL_1988_166_a16/