English

Limit theorems for mixed max-sum processes with renewal stopping

Probability 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0503543,
  title  = {Limit theorems for mixed max-sum processes with renewal stopping},
  author = {Dmitrii S. Silvestrov and Jozef L. Teugels},
  journal= {arXiv preprint arXiv:math/0503543},
  year   = {2007}
}

Comments

Published at http://dx.doi.org/10.1214/105051604000000215 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)