Almost sure functional central limit theorems for multiparameter stochastic processes

• Published in: Condensed Matter Physics
• Date: 2008
• Main Authors: Czerebak-Morozowicz, E.B., Rychlik, Z., Urbanek, M.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/119288
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 anal...