Almost sure functional central limit theorems for multiparameter stochastic processes

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 Glivenko-...

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Bibliographic Details
Main Authors: E.B.Czerebak-Morozowicz, Z.Rychlik, M.Urbanek
Format: Article
Language:English
Published: Institute for Condensed Matter Physics 2008-06-01
Series:Condensed Matter Physics
Subjects:
almost sure central limit theorem
multiparameter stochastic process
Glivenko-Cantelli type theorem
logarithmic averages
Online Access:http://dx.doi.org/10.5488/CMP.11.2.371

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