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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| Date: | 2007 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/4506 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-4506 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Local limit theorem for triangular array of random variables |
| spellingShingle |
Local limit theorem for triangular array of random variables Korchinsky, I.A. Kulik, A.M. |
| title_short |
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_sort |
local limit theorem for triangular array of random variables |
| author |
Korchinsky, I.A. Kulik, A.M. |
| author_facet |
Korchinsky, I.A. Kulik, A.M. |
| publishDate |
2007 |
| language |
English |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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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| issn |
0321-3900 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/4506 |
| 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. |
| work_keys_str_mv |
AT korchinskyia locallimittheoremfortriangulararrayofrandomvariables AT kulikam locallimittheoremfortriangulararrayofrandomvariables |
| first_indexed |
2025-12-07T19:43:50Z |
| last_indexed |
2025-12-07T19:43:50Z |
| _version_ |
1850879907884695552 |