Almost sure functional central limit theorems for multiparameter stochastic processes

• Veröffentlicht in: Condensed Matter Physics
• Datum: 2008
• Hauptverfasser: Czerebak-Morozowicz, E.B., Rychlik, Z., Urbanek, M.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут фізики конденсованих систем НАН України 2008
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/119288
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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 analogues of Glivenk...