An almost sure limit theorem for the maxima of strongly dependent Gaussian sequences
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Publication:1038958
DOI10.1214/ECP.V14-1461zbMath1189.60065OpenAlexW1996718974MaRDI QIDQ1038958
Publication date: 20 November 2009
Published in: Electronic Communications in Probability (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/227193
Gaussian processes (60G15) Extreme value theory; extremal stochastic processes (60G70) Strong limit theorems (60F15)
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The improved results in almost sure central limit theorem for the maxima of strongly dependent stationary Gaussian vector sequences ⋮ The almost sure local central limit theorem for products of partial sums under negative association ⋮ A note on the almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences ⋮ Almost sure central limit theorem for self-normalized partial sums and maxima ⋮ Some distributional limit theorems for the maxima of Gaussian vector sequences ⋮ Almost sure convergence for the maxima and minima of strongly dependent nonstationary multivariate Gaussian sequences ⋮ Almost sure central limit theorem for the maxima and sums of stationary Gaussian sequences ⋮ Some asymptotic results on extremes of incomplete samples ⋮ The almost sure limit theorem for the maxima and minima of strongly dependent Gaussian vector sequences ⋮ Limiting distributions and almost sure limit theorems for the normalized maxima of complete and incomplete samples from Gaussian sequence ⋮ Almost sure limit theorems for the maxima of some strongly dependent Gaussian sequences ⋮ Almost sure limit theorems for the maximum of a class of quasi-stationary sequences ⋮ Almost sure convergence for the maxima of strongly dependent stationary Gaussian vector sequences ⋮ Almost sure convergence for the maximum and the sum of nonstationary Gaussian sequences
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