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November 2004 Limit theorems for mixed max–sum processes with renewal stopping
Dmitrii S. Silvestrov, Jozef L. Teugels
Ann. Appl. Probab. 14(4): 1838-1868 (November 2004). DOI: 10.1214/105051604000000215

Abstract

This article is devoted to the investigation of limit theorems for mixed max–sum processes with renewal type stopping indexes. Limit theorems of weak convergence type are obtained as well as functional limit theorems.

Citation

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Dmitrii S. Silvestrov. Jozef L. Teugels. "Limit theorems for mixed max–sum processes with renewal stopping." Ann. Appl. Probab. 14 (4) 1838 - 1868, November 2004. https://doi.org/10.1214/105051604000000215

Information

Published: November 2004
First available in Project Euclid: 5 November 2004

zbMATH: 1076.60040
MathSciNet: MR2099654
Digital Object Identifier: 10.1214/105051604000000215

Subjects:
Primary: 60F17 , 60G51 , 60G70 , 60K05

Keywords: Functional limit theorem , Max–sum process , renewal stopping , weak convergence

Rights: Copyright © 2004 Institute of Mathematical Statistics

Vol.14 • No. 4 • November 2004
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