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Limit theorems for the density functions and asymptotic expansions for the distributions of sums of independent random variables

V. A. Statulevichius

Vilnius

Abstract: Limit theorems for the density functions (theorems 1–3) and asymptotic expansions for the distribution functions and the density functions (theorems 4–5) of sums of nonidentically distributed independent random variables are given.

Received: 16.07.1965

 English version: Theory of Probability and its Applications, 1965, 10:4, 582–595

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