Suppose that X1, X2, … is some stationary zero mean Gaussian sequence with unit variance. Let {kn} be a certain nondecreasing sequence of positive integers, [...] denote the kn largest maximum of X1, … Xn. We aim at proving the almost sure central limit theorems for the suitably normalized sequence [...] under certain additional assumptions on {kn} and the covariance function [...]
@article{bwmeta1.element.doi-10_2478_v10062-009-0007-9,
author = {Marcin Dudzi\'nski},
title = {The almost sure central limit theorems for certain order statistics of some stationary Gaussian sequences},
journal = {Annales UMCS, Mathematica},
volume = {63},
year = {2009},
pages = {63-81},
zbl = {1193.60040},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-009-0007-9}
}
Marcin Dudziński. The almost sure central limit theorems for certain order statistics of some stationary Gaussian sequences. Annales UMCS, Mathematica, Tome 63 (2009) pp. 63-81. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-009-0007-9/
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