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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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2010 |
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| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106646 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-106646 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On a Question by A.M. Kagan |
| spellingShingle |
On a Question by A.M. Kagan Il'inskii, A. |
| title_short |
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_sort |
on a question by a.m. kagan |
| author |
Il'inskii, A. |
| author_facet |
Il'inskii, A. |
| publishDate |
2010 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| 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.
|
| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/106646 |
| 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. |
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AT ilinskiia onaquestionbyamkagan |
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2025-12-01T16:31:47Z |
| last_indexed |
2025-12-01T16:31:47Z |
| _version_ |
1850860677162336256 |