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Moment inequalities for the partial sums of random variables 被引量:9

Moment inequalities for the partial sums of random variables
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摘要 This paper discusses the conditions under which Rosenthal type inequality is obtained from M-Z-B type inequality. And M-Z-B type inequality is proved for a wide class of random variables. Hence Rosenthal type inequalities for some classes of random variables are obtained. This paper discusses the conditions under which Rosenthal type inequality is obtained from M-Z-B type inequality. And M-Z-B type inequality is proved for a wide class of random variables. Hence Rosenthal type inequalities for some classes of random variables are obtained.
作者 杨善朝
出处 《Science China Mathematics》 SCIE 2001年第1期1-6,共6页 中国科学:数学(英文版)
基金 This work was supported by the Natural Science Foundation of Guangxi (Grant No. 007014) College Science Foundation of Guangxi.
关键词 partial sum M-Z-B type inequality Rosenthal type inequality 部分和;M-Z-B 类型不平等;Rosenthal 类型不平等;
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参考文献13

  • 1杨善朝.混合序列矩不等式和非参数估计[J].数学学报(中文版),1997,40(2):271-279. 被引量:40
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二级参考文献5

  • 1杨善朝,高校应用数学学报,1995年,10卷,2期,231页
  • 2秦永松,广西师范大学学报,1992年,10卷,2期,24页
  • 3邵启满,数学学报,1989年,32卷,3期,376页
  • 4邵启满,数学学报,1988年,31卷,6期,736页
  • 5秦永松.非参数回归函数估计的一个结果[J].工程数学学报,1989,6(3):120-123. 被引量:29

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