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.
@article{1099674080,
author = {Silvestrov, Dmitrii S. and Teugels, Jozef L.},
title = {Limit theorems for mixed max--sum processes with renewal stopping},
journal = {Ann. Appl. Probab.},
volume = {14},
number = {1},
year = {2004},
pages = { 1838-1868},
language = {en},
url = {http://dml.mathdoc.fr/item/1099674080}
}
Silvestrov, Dmitrii S.; Teugels, Jozef L. Limit theorems for mixed max–sum processes with renewal stopping. Ann. Appl. Probab., Tome 14 (2004) no. 1, pp. 1838-1868. http://gdmltest.u-ga.fr/item/1099674080/