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On almost sure local and global central limit theorems

✍ Scribed by E. Csáki; A. Földes; P. Révész


Publisher
Springer
Year
1993
Tongue
English
Weight
593 KB
Volume
97
Category
Article
ISSN
1432-2064

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Almost sure central limit theorems for r
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## Abstract A general almost sure limit theorem is presented for random fields. It is applied to obtain almost sure versions of some (functional) central limit theorems. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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We prove an almost sure version of a maximum limit theorem using logarithmic means and show that essentially only logarithmic means work as it is the case for almost sure central limit theorems. ~