A question which is given special attention is whether a strong law of large numbers holds true for the α-mixing sequence under the fist-moment condition existing. Under condition E | X_1 | p< ∞, does a complete convergence hold true for α-mixing sequence. This note gives a positive answer to this question under the condition 1<=p<2.
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机译:需要特别注意的问题是,在现有的第一矩条件下,α混合序列的强数定律是否成立。在条件E下| X_1 | p <∞,α混合序列是否完全收敛。此注释在条件1 <= p <2时给出了对该问题的肯定答案。
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