Geodesic
On a generalization of class of negative binomial distributions
Diskretnaya Matematika, Tome 33 (2021) no. 1, pp. 64-81

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A class of one-dimensional discrete power series distributions containing negative binomial distributions is considered. Properties of distributions of this class are investigated. Limit theorems generalizing similar theorems for the negative binomial distributions are proved. The proofs are based both on elementary asymptotic methods and on a modification of saddle-point method.
Keywords: negative binomial distribution, limit theorems, discrete distribution, large deviations, asymptotic methods, saddle-point method. 
@article{DM_2021_33_1_a5,
     author = {A. N. Timashev},
     title = {On a generalization of class of negative binomial distributions},
     journal = {Diskretnaya Matematika},
     pages = {64--81},
     publisher = {mathdoc},
     volume = {33},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2021_33_1_a5/}
}
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A. N. Timashev. On a generalization of class of negative binomial distributions. Diskretnaya Matematika, Tome 33 (2021) no. 1, pp. 64-81. http://geodesic.mathdoc.fr/item/DM_2021_33_1_a5/