@article{EJP510,
author = {Rafal Kulik},
title = {Sums of extreme values of subordinated long-range dependent sequences: moving averages with finite variance},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {13},
year = {2008},
keywords = {sample quantiles, linear processes, empirical processes, long range dependence, sums of extremes, trimmed sums},
abstract = {In this paper we study the limiting behavior of sums of extreme values of long range dependent sequences defined as functionals of linear processes with finite variance. If the number of extremes in a sum is large enough, we obtain asymptotic normality, however, the scaling factor is relatively bigger than in the i.i.d case, meaning that the maximal terms have relatively smaller contribution to the whole sum. Also, it is possible for a particular choice of a model, that the scaling need not to depend on the tail index of the underlying marginal distribution, as it is well-known to be so in the i.i.d. situation. Furthermore, subordination may change the asymptotic properties of sums of extremes.},
pages = {no. 32, 961-979},
issn = {1083-6489},
doi = {10.1214/EJP.v13-510},
url = {http://ejp.ejpecp.org/article/view/510}}