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Strong limit theorems for random fields

2012
Summary: The aim of the present paper is to review some joint work with Ulrich Stadtmüller concerning random field analogs of the classical strong laws. In the first part, we start, as background information, by quoting the law of large numbers and the law of the iterated logarithm for random sequences as well as for random fields, and the law of the ...
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Strong limit theorems: the law of the iterated logarithm

1995
Abstract Theorem 7.1 is in some sense as sharp as possible. Namely, if we replace o by O in the condition (7.1), the assertion of the theorem may fail. Using the arguments that we employed in the proof of Theorem 7.1, we can prove the following proposition on the connection between an estimate of the remainder term in the central limit ...
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A Brief History of the Strong Szegö Limit Theorem

2012
The strong Szego limit theorem describes the asymptotic behavior of determinants of finite Toeplitz matrices. This article is a survey that describes a simple proof of the strong Szego limit theorem using some observations and results of Bill Helton.
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Strong Limit Theorems for Increments of Random Fields

2012
After reconsidering the oscillating behaviour of sums of i.i.d. random variables we study the oscillating behavior for sums over i.i.d. random fields under exact moment conditions. This summarizes several papers published jointly with A. Gut (Uppsala).
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A class of strong limit theorems for the sequences of arbitrary random variables

Statistics and Probability Letters, 2003
Weiguo Yang
exaly  

Limit theorems for the logarithm of sample spacings

Statistics and Probability Letters, 1995
Yongzhao Shao, Marjorie G Hahn
exaly  

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