Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series
We study the structure, topological, metric and fractal properties of the distribution of random incomplete sum of the convergent positive series with independent terms under certain conditions on the rate of convergence of series and on the distributions of its terms. We also study the behaviour of...
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| Date: | 2007 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/4490 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series / M.V. Pratsiovytyi, O.Yu. Feshchenko // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 205-224. — Бібліогр.: 27 назв.— англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862709429503262720 |
|---|---|
| author | Pratsiovytyi, M.V. Feshchenko, O.Yu. |
| author_facet | Pratsiovytyi, M.V. Feshchenko, O.Yu. |
| citation_txt | Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series / M.V. Pratsiovytyi, O.Yu. Feshchenko // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 205-224. — Бібліогр.: 27 назв.— англ. |
| collection | DSpace DC |
| description | We study the structure, topological, metric and fractal properties of the distribution of random incomplete sum of the convergent positive series with independent terms under certain conditions on the rate of convergence of series and on the distributions of its terms. We also study the behaviour of the absolute value of the characteristic function of this random variable at infinity and the fractal dimension preservation by its distribution function.
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| first_indexed | 2025-12-07T17:17:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-4490 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-3900 |
| language | English |
| last_indexed | 2025-12-07T17:17:28Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Pratsiovytyi, M.V. Feshchenko, O.Yu. 2009-11-19T10:22:18Z 2009-11-19T10:22:18Z 2007 Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series / M.V. Pratsiovytyi, O.Yu. Feshchenko // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 205-224. — Бібліогр.: 27 назв.— англ. 0321-3900 https://nasplib.isofts.kiev.ua/handle/123456789/4490 We study the structure, topological, metric and fractal properties of the distribution of random incomplete sum of the convergent positive series with independent terms under certain conditions on the rate of convergence of series and on the distributions of its terms. We also study the behaviour of the absolute value of the characteristic function of this random variable at infinity and the fractal dimension preservation by its distribution function. en Інститут математики НАН України Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series Article published earlier |
| spellingShingle | Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series Pratsiovytyi, M.V. Feshchenko, O.Yu. |
| title | Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series |
| title_full | Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series |
| title_fullStr | Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series |
| title_full_unstemmed | Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series |
| title_short | Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series |
| title_sort | topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/4490 |
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