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...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.展开更多
文摘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.