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2009 An Almost Sure Limit Theorem For the Maxima of Strongly Dependent Gaussian Sequences
Fuming Lin
Author Affiliations +
Electron. Commun. Probab. 14: 224-231 (2009). DOI: 10.1214/ECP.v14-1461

Abstract

In this paper, we prove an almost sure limit theorem for the maxima of strongly dependent Gaussian sequences under some mild conditions. The result is an expansion of the weakly dependent result of E. Csaki and K. Gonchigdanzan.

Citation

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Fuming Lin. "An Almost Sure Limit Theorem For the Maxima of Strongly Dependent Gaussian Sequences." Electron. Commun. Probab. 14 224 - 231, 2009. https://doi.org/10.1214/ECP.v14-1461

Information

Accepted: 24 May 2009; Published: 2009
First available in Project Euclid: 6 June 2016

zbMATH: 1189.60065
MathSciNet: MR2507751
Digital Object Identifier: 10.1214/ECP.v14-1461

Subjects:
Primary: 60F05
Secondary: 62E20 , 62F12 , 62M10

Keywords: Almost sure Central Limit Theorem , Logarithmic average , Strongly dependent sequence

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