The almost sure central limit theorems for certain order statistics of some stationary Gaussian sequences

DOI10.2478/V10062-009-0007-9zbMath1193.60040OpenAlexW2025252969MaRDI QIDQ3569415

Marcin Dudziński

Publication date: 21 June 2010

Published in: Annales UMCS, Mathematica (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/27acf95265c278b2aa637fc589843a997091d086

zbMATH Keywords

almost sure central limit theoremstationary Gaussian sequences\(k_{n}\)th largest maximanormal comparison Lemma

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (3)

Almost sure limit theorem for the order statistics of stationary Gaussian sequences ⋮ The almost sure central limit theorems for the maxima of sums under some new weak dependence assumptions ⋮ Almost sure central limit theorem for exceedance point processes of stationary sequences

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