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Some Applications of Yu. V. Linnik's Theorem on Characteristic Functions

Publication at Faculty of Mathematics and Physics |
2022

Abstract

Applications of Yu. V.

Linnik's theorem and a result of B. Ramachandran and K.

R. Rao are discussed to obtain the necessary convergence conditions in special limit theorems.

The case of convergence of sums of a random number of random variables is also considered.