Almost Sure Central Limit Theorems for Strongly Mixing and Associated Random Variables
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منابع مشابه
The Almost Sure Local Central Limit Theorem for the Negatively Associated Sequences
In this paper, the almost sure central limit theorem is established for sequences of negatively associated random variables: lim n→∞ (1/ log n)∑n k=1 (I(a k ≤ S k < b k )/k)P(a k ≤ S k < b k ) = 1, almost surely. This is the local almost sure central limit theorem for negatively associated sequences similar to results by Csáki et al. (1993). The results extend those on almost sure local central...
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for any continuity point x of H . Several papers have dealt with logarithmic limit theorems of this kind and the above relation has been extended in various directions. Fahrner and Stadtmüller [5] gave an almost sure version of a maximum limit theorem. Berkes and Horváth [2] obtained a strong approximation for the logarithmic average of sample extremes. Berkes and Csáki [1] showed that not only...
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تاریخ انتشار 2002