This article is cited in 3 papers

Short Communications

On the limit behaviour of the maximal probability in infinite dimensional case

V. V. Sazonov

Moscow

Abstract: It is shown that in infinite dimensional case the maximal probabilities of distributions which are convolutions of a lattice distribution descend to 0 quicker than any negative power of $n$. Moreover the limits for the speed of their convergence are indicated.

Received: 19.05.1965

 English version: Theory of Probability and its Applications, 1965, 10:4, 684–685

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