On the Komlós–Révész SLLN for Ψ-Mixing Sequences

The Komlós–Révész strong law of large numbers (SLLN) is proved for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ψ</mi></semantics></math></inline-formula>-mixing sequences without...

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Main Author: Zbigniew S. Szewczak
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/27/1/36
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author Zbigniew S. Szewczak
author_facet Zbigniew S. Szewczak
author_sort Zbigniew S. Szewczak
collection DOAJ
description The Komlós–Révész strong law of large numbers (SLLN) is proved for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ψ</mi></semantics></math></inline-formula>-mixing sequences without a rate assumption.
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spelling doaj-art-cdff0ea0353c44039c691a4ad4f560162025-01-24T13:31:45ZengMDPI AGEntropy1099-43002025-01-012713610.3390/e27010036On the Komlós–Révész SLLN for Ψ-Mixing SequencesZbigniew S. Szewczak0Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, PolandThe Komlós–Révész strong law of large numbers (SLLN) is proved for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ψ</mi></semantics></math></inline-formula>-mixing sequences without a rate assumption.https://www.mdpi.com/1099-4300/27/1/36strong lawsKomlós–Révész law<i>ψ</i>-mixingdependent Cramér model
spellingShingle Zbigniew S. Szewczak
On the Komlós–Révész SLLN for Ψ-Mixing Sequences
Entropy
strong laws
Komlós–Révész law
<i>ψ</i>-mixing
dependent Cramér model
title On the Komlós–Révész SLLN for Ψ-Mixing Sequences
title_full On the Komlós–Révész SLLN for Ψ-Mixing Sequences
title_fullStr On the Komlós–Révész SLLN for Ψ-Mixing Sequences
title_full_unstemmed On the Komlós–Révész SLLN for Ψ-Mixing Sequences
title_short On the Komlós–Révész SLLN for Ψ-Mixing Sequences
title_sort on the komlos revesz slln for ψ mixing sequences
topic strong laws
Komlós–Révész law
<i>ψ</i>-mixing
dependent Cramér model
url https://www.mdpi.com/1099-4300/27/1/36
work_keys_str_mv AT zbigniewsszewczak onthekomlosreveszsllnforpsmixingsequences