Limit Theorems for Logarithmic Averages
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István Berkes; Lajos Horváth
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Article
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1998
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John Wiley and Sons
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English
⚖ 386 KB
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We prove the strong law of large numbers for logarithmic averages of random vectors. We also obtain a strong approximation for logarithmic averages. for a large class of functions a if d = 1. Earlier results are due to [IS] and [12] when a(t) = I { t 5 0). For extensions of (1.3) we refer to [17],