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离散型最小和最大次序统计量相关性研究
引用本文:梁冯珍,史道济.离散型最小和最大次序统计量相关性研究[J].应用概率统计,2008,24(4):381-387.
作者姓名:梁冯珍  史道济
作者单位:天津大学理学院,天津,300072
摘    要:本文研究离散型随机变量之间的相关性度量, 讨论了最小次序统计量和最大次序统计量的渐近独立性, 给出了计算最小次序统计量和最大次序统计量的Kendall和Spearman秩相关系数的公式.

关 键 词:相关性度量  次序统计量  Kendall秩相关系数  Spearman秩相关函数.

The Dependence Analysis between Minimum and Maximum Order Statistics
Liang Fengzhen,Shi Daoji.The Dependence Analysis between Minimum and Maximum Order Statistics[J].Chinese Journal of Applied Probability and Statisties,2008,24(4):381-387.
Authors:Liang Fengzhen  Shi Daoji
Institution:Department of Mathematics, Institute of Science, Tianjin University
Abstract:The dependence measures are discussed for the discrete random variables in this paper. It is proved that the asymptotic independence of the minimum andmaximum of $n$ i.i.d. random variables, and explicit expressions are given for the value of Kendall's and Spearman's rank correlation coefficient between minimum and maximum order statistics.
Keywords:Dependence measures  order statistics  Kendall's rank correlation coefficient  Spearman's rank correlation coefficient  
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