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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1960 Volume 5, Issue 4, Pages 377–392 (Mi tvp4847)

This article is cited in 12 papers

Limit Theorems on the Distribution of Maximum of Sums of Bounded, Lattice Random Variables. II

A. A. Borovkov

Moscow

Abstract: The second part of this paper contains the proofs of integral theorems concerning
$$\bar s_n=\max\left({\xi_1+\xi_2 +\cdots+\xi_\nu}\right),\quad1\leq\nu\leq n$$
where $\xi_i$ are bounded, lattice, independent and identically distributed random variables.

Received: 15.07.1959


 English version:
Theory of Probability and its Applications, 1960, 5:4, 341–355


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