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.
Saved in:
| Date: | 2005 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2005
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/4434 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862672602066059264 |
|---|---|
| author | Virchenko, Yu.P. Vitokhina, N.N. |
| author_facet | Virchenko, Yu.P. Vitokhina, N.N. |
| 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. |
| collection | DSpace DC |
| 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.
|
| first_indexed | 2025-12-07T15:35:52Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-4434 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-3900 |
| language | English |
| last_indexed | 2025-12-07T15:35:52Z |
| publishDate | 2005 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Multiplicative decomposition and infinite divisibility of the mandel distribution Virchenko, Yu.P. Vitokhina, N.N. |
| title | 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_short | Multiplicative decomposition and infinite divisibility of the mandel distribution |
| title_sort | multiplicative decomposition and infinite divisibility of the mandel distribution |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/4434 |
| work_keys_str_mv | AT virchenkoyup multiplicativedecompositionandinfinitedivisibilityofthemandeldistribution AT vitokhinann multiplicativedecompositionandinfinitedivisibilityofthemandeldistribution |