Remark on the central limit theorem for ergodic chains
We obtain sufficient conditions that should be imposed on a functionf in order that, for ergodic Markov chains, the sum $$\frac{1}{{\sqrt n }} \sum\limits_{k = 0}^{n - 1} { f(X_k )} $$ be asymptotically normal.
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| Datum: | 1995 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5391 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511621156175872 |
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| author | Moskal'tsova, N. V. Shurenkov, V. M. Москальцова, Н. В. Шуренков, В. М. Москальцова, Н. В. Шуренков, В. М. |
| author_facet | Moskal'tsova, N. V. Shurenkov, V. M. Москальцова, Н. В. Шуренков, В. М. Москальцова, Н. В. Шуренков, В. М. |
| author_sort | Moskal'tsova, N. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:58:17Z |
| description | We obtain sufficient conditions that should be imposed on a functionf in order that, for ergodic Markov chains, the sum $$\frac{1}{{\sqrt n }} \sum\limits_{k = 0}^{n - 1} { f(X_k )} $$ be asymptotically normal. |
| first_indexed | 2026-03-24T03:15:48Z |
| format | Article |
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| id | umjimathkievua-article-5391 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:15:48Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f1/6a15dcef5cc3e7ae94ee9c0c5dd7dbf1.pdf |
| spelling | umjimathkievua-article-53912020-03-19T08:58:17Z Remark on the central limit theorem for ergodic chains Еще одно замечание к центральной предельной теореме для эргодических цепей Moskal'tsova, N. V. Shurenkov, V. M. Москальцова, Н. В. Шуренков, В. М. Москальцова, Н. В. Шуренков, В. М. We obtain sufficient conditions that should be imposed on a functionf in order that, for ergodic Markov chains, the sum $$\frac{1}{{\sqrt n }} \sum\limits_{k = 0}^{n - 1} { f(X_k )} $$ be asymptotically normal. Одержані деякі умови для функції $f$, достатні для асимптотичної нормальності суми $$\frac{1}{{\sqrt n }} \sum\limits_{k = 0}^{n - 1} { f(X_k )}$$ для ергодичних ланцюгів Маркова. Institute of Mathematics, NAS of Ukraine 1995-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5391 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 1 (1995); 118-120 Український математичний журнал; Том 47 № 1 (1995); 118-120 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5391/7472 https://umj.imath.kiev.ua/index.php/umj/article/view/5391/7473 Copyright (c) 1995 Moskal'tsova N. V.; Shurenkov V. M. |
| spellingShingle | Moskal'tsova, N. V. Shurenkov, V. M. Москальцова, Н. В. Шуренков, В. М. Москальцова, Н. В. Шуренков, В. М. Remark on the central limit theorem for ergodic chains |
| title | Remark on the central limit theorem for ergodic chains |
| title_alt | Еще одно замечание к центральной предельной
теореме для эргодических цепей |
| title_full | Remark on the central limit theorem for ergodic chains |
| title_fullStr | Remark on the central limit theorem for ergodic chains |
| title_full_unstemmed | Remark on the central limit theorem for ergodic chains |
| title_short | Remark on the central limit theorem for ergodic chains |
| title_sort | remark on the central limit theorem for ergodic chains |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5391 |
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