Multiplicative decomposition and infinite divisibility of the mandel distribution
Infinite divisibility of the Mandel distribution that arises in quantum optics is proved. On the basis of this fact, the multiplicative decomposition of this distribution into the countable convolution of some Poisson distributions is constructed.
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| Дата: | 2005 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2005
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/4434 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Multiplicative decomposition and infinite divisibility of the mandel distribution / Yu.P. Virchenko, N.N. Vitokhina // Theory of Stochastic Processes. — 2005. — Т. 11 (27), № 3-4. — С. 131–139. — Бібліогр.: 9 назв.— англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-4434 |
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Virchenko, Yu.P. Vitokhina, N.N. 2009-11-09T15:40:26Z 2009-11-09T15:40:26Z 2005 Multiplicative decomposition and infinite divisibility of the mandel distribution / Yu.P. Virchenko, N.N. Vitokhina // Theory of Stochastic Processes. — 2005. — Т. 11 (27), № 3-4. — С. 131–139. — Бібліогр.: 9 назв.— англ. 0321-3900 https://nasplib.isofts.kiev.ua/handle/123456789/4434 519.21 Infinite divisibility of the Mandel distribution that arises in quantum optics is proved. On the basis of this fact, the multiplicative decomposition of this distribution into the countable convolution of some Poisson distributions is constructed. This research has been partially supported by RFFI and Belgorod State University. en Інститут математики НАН України Multiplicative decomposition and infinite divisibility of the mandel distribution Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Multiplicative decomposition and infinite divisibility of the mandel distribution |
| spellingShingle |
Multiplicative decomposition and infinite divisibility of the mandel distribution Virchenko, Yu.P. Vitokhina, N.N. |
| title_short |
Multiplicative decomposition and infinite divisibility of the mandel distribution |
| title_full |
Multiplicative decomposition and infinite divisibility of the mandel distribution |
| title_fullStr |
Multiplicative decomposition and infinite divisibility of the mandel distribution |
| title_full_unstemmed |
Multiplicative decomposition and infinite divisibility of the mandel distribution |
| title_sort |
multiplicative decomposition and infinite divisibility of the mandel distribution |
| author |
Virchenko, Yu.P. Vitokhina, N.N. |
| author_facet |
Virchenko, Yu.P. Vitokhina, N.N. |
| publishDate |
2005 |
| language |
English |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
Infinite divisibility of the Mandel distribution that arises in quantum optics is proved. On the basis of this fact, the multiplicative decomposition of this distribution into the countable convolution of some Poisson distributions is constructed.
|
| issn |
0321-3900 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/4434 |
| citation_txt |
Multiplicative decomposition and infinite divisibility of the mandel distribution / Yu.P. Virchenko, N.N. Vitokhina // Theory of Stochastic Processes. — 2005. — Т. 11 (27), № 3-4. — С. 131–139. — Бібліогр.: 9 назв.— англ. |
| work_keys_str_mv |
AT virchenkoyup multiplicativedecompositionandinfinitedivisibilityofthemandeldistribution AT vitokhinann multiplicativedecompositionandinfinitedivisibilityofthemandeldistribution |
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2025-12-07T15:35:52Z |
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2025-12-07T15:35:52Z |
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