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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive
Teor. Veroyatnost. i Primenen., 2002 Volume 47, Issue 2, Pages 357–363 (Mi tvp3655)
This article is cited in 1 paper

Short Communications

Tauberian theorems for decreasing functions of dominated variation

B. A. Rogozin

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science

Abstract: Tauberian theorems are proved for decreasing functions of dominated variation. Some corollaries to the theorems are given.

Keywords: Tauberian theorem, function of dominated variation, renewal function, recurrent random walk, the moment of the first return to 0.

Received: 14.03.2001

DOI: 10.4213/tvp3655


 English version: Theory of Probability and its Applications, 2003, 47:2, 351–357

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