Convergent and asymptotical expansions of probability distributions
Teoriâ veroâtnostej i ee primeneniâ, Tome 12 (1967) no. 1, pp. 24-38
V. M. Kalinin. Convergent and asymptotical expansions of probability distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 12 (1967) no. 1, pp. 24-38. http://geodesic.mathdoc.fr/item/TVP_1967_12_1_a2/
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     author = {V. M. Kalinin},
     title = {Convergent and asymptotical expansions of probability distributions},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {24--38},
     year = {1967},
     volume = {12},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1967_12_1_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

On the basis of a sum theorem similar to the Euler–MacLaurent sum formula the author derives convergent and asymptotic expansions for the well known probability distributions (multinomial, Poisson, Student ones). The general expressions for the coefficients are given.