Convolutions of Singular Distribution Functions
We construct an example that demonstrates that natural restrictions imposed on finite convolutions of singular distributions do not guarantee the purity of the limit distribution.
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| Date: | 2004 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2004
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3733 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509866848681984 |
|---|---|
| author | Vynnyshyn, Ya. F. Виннишин, Я. Ф. |
| author_facet | Vynnyshyn, Ya. F. Виннишин, Я. Ф. |
| author_sort | Vynnyshyn, Ya. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:05:58Z |
| description | We construct an example that demonstrates that natural restrictions imposed on finite convolutions of singular distributions do not guarantee the purity of the limit distribution. |
| first_indexed | 2026-03-24T02:47:55Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3733 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:47:55Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d2/3e3084e43fa251c8c5693399b75bb1d2.pdf |
| spelling | umjimathkievua-article-37332020-03-18T20:05:58Z Convolutions of Singular Distribution Functions Згортки сингулярних функцій розподілу Vynnyshyn, Ya. F. Виннишин, Я. Ф. We construct an example that demonstrates that natural restrictions imposed on finite convolutions of singular distributions do not guarantee the purity of the limit distribution. Побудовано приклад, який показує, що природні обмеження на скінченні згортки сингулярних розподілів не гарантують чистоту граничного розподілу. Institute of Mathematics, NAS of Ukraine 2004-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3733 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 1 (2004); 119-122 Український математичний журнал; Том 56 № 1 (2004); 119-122 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3733/4190 https://umj.imath.kiev.ua/index.php/umj/article/view/3733/4191 Copyright (c) 2004 Vynnyshyn Ya. F. |
| spellingShingle | Vynnyshyn, Ya. F. Виннишин, Я. Ф. Convolutions of Singular Distribution Functions |
| title | Convolutions of Singular Distribution Functions |
| title_alt | Згортки сингулярних функцій розподілу |
| title_full | Convolutions of Singular Distribution Functions |
| title_fullStr | Convolutions of Singular Distribution Functions |
| title_full_unstemmed | Convolutions of Singular Distribution Functions |
| title_short | Convolutions of Singular Distribution Functions |
| title_sort | convolutions of singular distribution functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3733 |
| work_keys_str_mv | AT vynnyshynyaf convolutionsofsingulardistributionfunctions AT vinnišinâf convolutionsofsingulardistributionfunctions AT vynnyshynyaf zgortkisingulârnihfunkcíjrozpodílu AT vinnišinâf zgortkisingulârnihfunkcíjrozpodílu |