Geodesic
Local limit theorems for compound discrete distributions
Teoriâ veroâtnostej i ee primeneniâ, Tome 66 (2021) no. 3, pp. 589-600

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Local limit theorems for compound discrete distributions (a normal theorem and a large deviation theorem) are put forward. Some examples of such distributions, including compound Poisson, compound binomial, and negative binomial distributions, are considered. Our analysis is based on elementary asymptotic methods in combination with the saddle-point method.
Keywords: local limit theorems, compound discrete distributions, compound Poisson distribution, large deviations, saddle-point method.
Mots-clés : binomial distribution, negative binomial distribution 
@article{TVP_2021_66_3_a10,
     author = {A. N. Timashev},
     title = {Local limit theorems for compound discrete distributions},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {589--600},
     publisher = {mathdoc},
     volume = {66},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2021_66_3_a10/}
}
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A. N. Timashev. Local limit theorems for compound discrete distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 66 (2021) no. 3, pp. 589-600. http://geodesic.mathdoc.fr/item/TVP_2021_66_3_a10/