Electronic Communications in Probability

An Almost Sure Limit Theorem For the Maxima of Strongly Dependent Gaussian Sequences

Fuming Lin

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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.

Article information

Electron. Commun. Probab. Volume 14 (2009), paper no. 22, 224-231.

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

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60F05: Central limit and other weak theorems
Secondary: 62E20: Asymptotic distribution theory 62F12: Asymptotic properties of estimators 62M10: Time series, auto-correlation, regression, etc. [See also 91B84]

Almost sure central limit theorem Strongly dependent sequence Logarithmic average

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Lin, Fuming. An Almost Sure Limit Theorem For the Maxima of Strongly Dependent Gaussian Sequences. Electron. Commun. Probab. 14 (2009), paper no. 22, 224--231. doi:10.1214/ECP.v14-1461. https://projecteuclid.org/euclid.ecp/1465234731.

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