Almost sure functional central limit theorems for multiparameter stochastic processes
We present almost sure central limit theorems for stochastic processes whose time parameter ranges over the d-dimensional unit cube. Our purpose here is to generalize the classic functional central limit theorem of Prokhorov (1956) for such processes. We prove multidimensional analogues of Glivenk...
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| Дата: | 2008 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2008
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119288 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Almost sure functional central limit theorems for multiparameter stochastic processes / E.B. Czerebak-Morozowicz, Z. Rychlik, M. Urbanek // Condensed Matter Physics. — 2008. — Т. 11, № 2(54). — С. 371-381. — Бібліогр.: 25 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1192882017-06-06T03:02:40Z Almost sure functional central limit theorems for multiparameter stochastic processes Czerebak-Morozowicz, E.B. Rychlik, Z. Urbanek, M. We present almost sure central limit theorems for stochastic processes whose time parameter ranges over the d-dimensional unit cube. Our purpose here is to generalize the classic functional central limit theorem of Prokhorov (1956) for such processes. We prove multidimensional analogues of Glivenko-Cantelli type theorems. Ми подаємо майже певнi центральнi граничнi теореми для стохастичних процесiв з часовим параметром, що змiнюється у α-вимiрному одиничному кубi. Нашою метою є узагальнення класичної функцiональної центральної граничної теореми Прохорова (1956) для таких процесiв. Ми доводимо багатовимiрнi аналоги теореми типу Глiвенко-Кантелi. 2008 Article Almost sure functional central limit theorems for multiparameter stochastic processes / E.B. Czerebak-Morozowicz, Z. Rychlik, M. Urbanek // Condensed Matter Physics. — 2008. — Т. 11, № 2(54). — С. 371-381. — Бібліогр.: 25 назв. — англ. 1607-324X PACS: 02.50.Cw DOI:10.5488/CMP.11.2.371 http://dspace.nbuv.gov.ua/handle/123456789/119288 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We present almost sure central limit theorems for stochastic processes whose time parameter ranges over
the d-dimensional unit cube. Our purpose here is to generalize the classic functional central limit theorem of
Prokhorov (1956) for such processes. We prove multidimensional analogues of Glivenko-Cantelli type theorems. |
| format |
Article |
| author |
Czerebak-Morozowicz, E.B. Rychlik, Z. Urbanek, M. |
| spellingShingle |
Czerebak-Morozowicz, E.B. Rychlik, Z. Urbanek, M. Almost sure functional central limit theorems for multiparameter stochastic processes Condensed Matter Physics |
| author_facet |
Czerebak-Morozowicz, E.B. Rychlik, Z. Urbanek, M. |
| author_sort |
Czerebak-Morozowicz, E.B. |
| title |
Almost sure functional central limit theorems for multiparameter stochastic processes |
| title_short |
Almost sure functional central limit theorems for multiparameter stochastic processes |
| title_full |
Almost sure functional central limit theorems for multiparameter stochastic processes |
| title_fullStr |
Almost sure functional central limit theorems for multiparameter stochastic processes |
| title_full_unstemmed |
Almost sure functional central limit theorems for multiparameter stochastic processes |
| title_sort |
almost sure functional central limit theorems for multiparameter stochastic processes |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119288 |
| citation_txt |
Almost sure functional central limit theorems for multiparameter stochastic processes / E.B. Czerebak-Morozowicz, Z. Rychlik, M. Urbanek // Condensed Matter Physics. — 2008. — Т. 11, № 2(54). — С. 371-381. — Бібліогр.: 25 назв. — англ. |
| series |
Condensed Matter Physics |
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| first_indexed |
2023-10-18T20:34:11Z |
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2023-10-18T20:34:11Z |
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