three series theorem
- three series theorem的基本解释
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三级数定理
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Chapter 6 is contributed to studying the convergence properties of pariwise NQD random sequences. We extend the Kolomogrov-type inequality, Baum and Katz complete convergence, the three series theorem, Marcinkiewicz strong law of large number and Jamison theorem.
第六章研究两两NQD列的收敛性质,首先给出两两NQD列的Kolmogorov型不等式,进而讨论它的若干收敛性质,获得了与独立情形一样的Baum和Katz完全收敛定理;几乎达到独立情形著名的Marcinkiewicz强大数定律,三级数定理,推广了著名的Jamison定理。
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By the Utev S.and Peligrad M.inequality of-mixing random variable sequence,we obtain the Hájeck-Rènyi inequality and three series theorem and Chung′s strong law of large numbers for-mixing random variable sequence,which extend and improve the corresponding results of Gan shixin and Wu Qunying,these resuls are consistent with that for independent random variable sequence.
不等式,得到了-混合随机变量序列的Hájeck-Rènyi不等式、三级数定理和Chung型强大数律,改进了甘师信与吴群英等人的结论,达到了与独立时一致的结果。
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three series theorem:三级数定理
three place 三位的 | three point problem 三点问题 | three series theorem 三级数定理