Almost sure central limit theorems for the maxima of Gaussian functions

Wenyi Song, Jiamin Shao and Zhongquan Tan

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 20, 7136-7147

Abstract: In this article, we proved the almost sure central limit theorem for the maxima of two types of functions of stationary Gaussian sequence including chi-random sequence and Gaussian order statistics sequence, where the covariance function rn of the Gaussian sequence satisfies the condition rn log n( log log n)1+ε=O(1) for some ε>0.

Date: 2022
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DOI: 10.1080/03610926.2020.1871019

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