A limit theorem for mixing processes subject to rarefaction. I

We prove a limit theorem on the approximation of point mixing processes subject to rarefaction by general renewal processes. This theorem contains a weaker condition on the mixing coefficient than the known conditions.

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Bibliographic Details
Date:1998
Main Authors: Gasanenko, V. A., Гасаненко, В. О.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1998
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4916
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Gasanenko, V. A.
Гасаненко, В. О.
author_facet Gasanenko, V. A.
Гасаненко, В. О.
author_sort Gasanenko, V. A.
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datestamp_date 2020-03-18T21:17:16Z
description We prove a limit theorem on the approximation of point mixing processes subject to rarefaction by general renewal processes. This theorem contains a weaker condition on the mixing coefficient than the known conditions.
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spelling umjimathkievua-article-49162020-03-18T21:17:16Z A limit theorem for mixing processes subject to rarefaction. I Гранична теорема для рідіючих процесів із перемішуванням. I Gasanenko, V. A. Гасаненко, В. О. We prove a limit theorem on the approximation of point mixing processes subject to rarefaction by general renewal processes. This theorem contains a weaker condition on the mixing coefficient than the known conditions. Доведено граничну теорему про апроксимацію точкових рідіючих процесів із перемішуванням загальними процесами відновлення. Теорема містить слабкішу умову на коефіцієнт перемішування, ніж уже відомі. Institute of Mathematics, NAS of Ukraine 1998-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4916 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 4 (1998); 471–475 Український математичний журнал; Том 50 № 4 (1998); 471–475 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4916/6531 https://umj.imath.kiev.ua/index.php/umj/article/view/4916/6532 Copyright (c) 1998 Gasanenko V. A.
spellingShingle Gasanenko, V. A.
Гасаненко, В. О.
A limit theorem for mixing processes subject to rarefaction. I
title A limit theorem for mixing processes subject to rarefaction. I
title_alt Гранична теорема для рідіючих процесів із перемішуванням. I
title_full A limit theorem for mixing processes subject to rarefaction. I
title_fullStr A limit theorem for mixing processes subject to rarefaction. I
title_full_unstemmed A limit theorem for mixing processes subject to rarefaction. I
title_short A limit theorem for mixing processes subject to rarefaction. I
title_sort limit theorem for mixing processes subject to rarefaction. i
url https://umj.imath.kiev.ua/index.php/umj/article/view/4916
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