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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2018 Volume 59, Number 4, Pages 736–758 (Mi smj3007)

This article is cited in 14 papers

Integro-local limit theorems for compound renewal processes under Cramér's condition. II

A. A. Borovkov, A. A. Mogulskii

Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: We prove the statements that are formulated in the first part of this paper. As an auxiliary proposition, we establish an integro-local theorem for the renewal measure of a two-dimensional random walk.

Keywords: compound renewal process, large deviations, integro-local theorem, renewal measure, Cramér's condition, deviation function, second deviation function.

UDC: 519.21

MSC: 35R30

Received: 11.12.2017

DOI: 10.17377/smzh.2018.59.402


 English version:
Siberian Mathematical Journal, 2018, 59:4, 578–597

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© Steklov Math. Inst. of RAS, 2024