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关于不等式组成立的概率下界
The lower bound of tenable probability about inequation group
【摘要】 提出并证明了与柯尔莫哥洛夫不等式相类似的一个结论:即n维独立的正随机变量的不等式组:X1<λμ,X1X2<λμ2,…,X1X2…Xn<λμn成立的概率下界为1-1λ.
【Abstract】 <Abstrcat> Raised and proved an theorem about the lower bound of tenable probability of inequation group, that is the tenable probability of X1<λμ,X1X2<λμ2,...,X1X2...Xn<λμn not less then 1-1λ .each Xi is positive R.V. that is similar to Копмогоров′s conclusion .
【关键词】 独立;
事件;
依概率收敛;
下界;
【Key words】 independent; event; constringency according to probability; lower bound;
【Key words】 independent; event; constringency according to probability; lower bound;
【基金】 天津理工大学育苗项目(01-03).
- 【文献出处】 天津理工大学学报 ,Journal of Tianjin Institute of Technology , 编辑部邮箱 ,2005年03期
- 【分类号】O211
- 【下载频次】62