%0 Journal Article
%T The almost sure central limit theorems for certain order statistics of some stationary Gaussian sequences
%A Marcin Dudzi¨˝ski
%J Annales UMCS, Mathematica
%D 2009
%I 
%R 10.2478/v10062-009-0007-9
%X Suppose that X1, X2, ˇ­ 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, ˇ­ 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 .
%K Almost sure central limit theorem
%K knth largest maxima
%K stationary Gaussian sequences
%K Normal Comparison Lemma
%U http://versita.metapress.com/content/003x274k0jp68767/?p=53d3d035dc3c4d16820f83657672712a&pi=6