On a Question by A.M. Kagan
There is given an example of probability distribution, not having Gaussian components, such that for any two independent identically distributed random variables ξ and η with this distribution and for all a ≠ 0, b ≠ 0 the distribution of the linear form aξ + bη has Gaussian components.
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Datum: | 2010 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106646 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On a Question by A.M. Kagan / A. Il'inskii // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 3. — С. 291-294. — Бібліогр.: 1 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862649772665470976 |
|---|---|
| author | Il'inskii, A. |
| author_facet | Il'inskii, A. |
| citation_txt | On a Question by A.M. Kagan / A. Il'inskii // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 3. — С. 291-294. — Бібліогр.: 1 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | There is given an example of probability distribution, not having Gaussian components, such that for any two independent identically distributed random variables ξ and η with this distribution and for all a ≠ 0, b ≠ 0 the distribution of the linear form aξ + bη has Gaussian components.
|
| first_indexed | 2025-12-01T16:31:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106646 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-01T16:31:47Z |
| publishDate | 2010 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Il'inskii, A. 2016-10-01T16:47:44Z 2016-10-01T16:47:44Z 2010 On a Question by A.M. Kagan / A. Il'inskii // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 3. — С. 291-294. — Бібліогр.: 1 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106646 There is given an example of probability distribution, not having Gaussian components, such that for any two independent identically distributed random variables ξ and η with this distribution and for all a ≠ 0, b ≠ 0 the distribution of the linear form aξ + bη has Gaussian components. I am thankful to G.M. Feldman who attracted my attention to A.M. Kagan's question. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On a Question by A.M. Kagan Article published earlier |
| spellingShingle | On a Question by A.M. Kagan Il'inskii, A. |
| title | On a Question by A.M. Kagan |
| title_full | On a Question by A.M. Kagan |
| title_fullStr | On a Question by A.M. Kagan |
| title_full_unstemmed | On a Question by A.M. Kagan |
| title_short | On a Question by A.M. Kagan |
| title_sort | on a question by a.m. kagan |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106646 |
| work_keys_str_mv | AT ilinskiia onaquestionbyamkagan |