Local limit theorem for triangular array of random variables
For a triangular array of random variables {Xk,n, k = 1, . . . , cn; n belongs N} such that, for every n, the variables X1,n, . . .,Xcn,n are independent and identically distributed, the local limit theorem for the variables Sn = X1,n + · · · + Xcn,n is established.
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| Дата: | 2007 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/4506 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Local limit theorem for triangular array of random variables / I.A. Korchinsky, A.M. Kulik // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 3. — С. 48–54. — Бібліогр.: 3 назв.— англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862734568704966656 |
|---|---|
| author | Korchinsky, I.A. Kulik, A.M. |
| author_facet | Korchinsky, I.A. Kulik, A.M. |
| citation_txt | Local limit theorem for triangular array of random variables / I.A. Korchinsky, A.M. Kulik // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 3. — С. 48–54. — Бібліогр.: 3 назв.— англ. |
| collection | DSpace DC |
| description | For a triangular array of random variables {Xk,n, k = 1, . . . , cn; n belongs N} such that, for every n, the variables X1,n, . . .,Xcn,n are independent and identically distributed, the local limit theorem for the variables Sn = X1,n + · · · + Xcn,n is established.
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| first_indexed | 2025-12-07T19:43:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-4506 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-3900 |
| language | English |
| last_indexed | 2025-12-07T19:43:50Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Korchinsky, I.A. Kulik, A.M. 2009-11-19T13:59:16Z 2009-11-19T13:59:16Z 2007 Local limit theorem for triangular array of random variables / I.A. Korchinsky, A.M. Kulik // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 3. — С. 48–54. — Бібліогр.: 3 назв.— англ. 0321-3900 https://nasplib.isofts.kiev.ua/handle/123456789/4506 519.21 For a triangular array of random variables {Xk,n, k = 1, . . . , cn; n belongs N} such that, for every n, the variables X1,n, . . .,Xcn,n are independent and identically distributed, the local limit theorem for the variables Sn = X1,n + · · · + Xcn,n is established. This research has been partially supported by the Ministry of Education and Science of Ukraine, project N GP/F13/0095. en Інститут математики НАН України Local limit theorem for triangular array of random variables Article published earlier |
| spellingShingle | Local limit theorem for triangular array of random variables Korchinsky, I.A. Kulik, A.M. |
| title | Local limit theorem for triangular array of random variables |
| title_full | Local limit theorem for triangular array of random variables |
| title_fullStr | Local limit theorem for triangular array of random variables |
| title_full_unstemmed | Local limit theorem for triangular array of random variables |
| title_short | Local limit theorem for triangular array of random variables |
| title_sort | local limit theorem for triangular array of random variables |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/4506 |
| work_keys_str_mv | AT korchinskyia locallimittheoremfortriangulararrayofrandomvariables AT kulikam locallimittheoremfortriangulararrayofrandomvariables |