The Almost Sure Central Limit Theorems for the Maxima of Sums under Some New Weak Dependence Assumptions
The Almost Sure Central Limit Theorems for the Maxima of Sums under Some New Weak Dependence Assumptions
摘要
We prove the almost sure central limit theorems for the maxima of partial sums of r.v.'s under a general condition of dependence due to Doukhan and Louhichi. We will separately consider the centered sequences and the sequences with positive expected values.
We prove the almost sure central limit theorems for the maxima of partial sums of r.v.'s under a general condition of dependence due to Doukhan and Louhichi. We will separately consider the centered sequences and the sequences with positive expected values.
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