Convergence in the r-th Mean and the Marcinkiewicz Type Weak Law of Large Numbers for Weighted Sums of L_q-mixingale Arrays

Convergence in the r-th Mean and the Marcinkiewicz Type Weak Law of Large Numbers for Weighted Sums of L_q-mixingale Arrays

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摘要 L_r convergence and convergence in probability for weighted sums of L_q-mixingale arrays have been discussed and the Marcinkiewicz type weak law of large numbers for L_q-mixingale arrays has been obtained. L_r convergence and convergence in probability for weighted sums of L_q-mixingale arrays have been discussed and the Marcinkiewicz type weak law of large numbers for L_q-mixingale arrays has been obtained.

作者 Gan Shi-xin School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China

出处《Wuhan University Journal of Natural Sciences》 CAS 2003年第04A期1047-1050,共4页 武汉大学学报（自然科学英文版）

基金 SupportedbytheNationalNaturalScienceFoundationofChina (1 0 0 71 0 58)

关键词 L_q-mixingale array L_r convergence convergence in probability Marcinkiewicz type weak of large numbers L_q-mixingale array L_r convergence convergence in probability Marcinkiewicz type weak of large numbers

分类号 O211 [理学—概率论与数理统计]

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Wuhan University Journal of Natural Sciences

2003年第04A期

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Convergence in the r-th Mean and the Marcinkiewicz Type Weak Law of Large Numbers for Weighted Sums of L_q-mixingale Arrays

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