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-...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Institute for Condensed Matter Physics
2008-06-01
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Series: | Condensed Matter Physics |
Subjects: | |
Online Access: | http://dx.doi.org/10.5488/CMP.11.2.371 |
Summary: | 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. |
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ISSN: | 1607-324X |