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三角阵列的中偏差

  • 高振龙
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  • 中国科学院研究生院数学科学学院,北京 100049

收稿日期: 2010-01-29

  修回日期: 2010-06-15

  网络出版日期: 2011-01-20

基金资助

国家自然科学基金(10871200)资助 

Moderate deviations for triangular arrays

  • GAO Zhen-Long
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  • School of Mathematical Sciences, Graduate University, Chinese Acadmey of Sciences, Beijing 100049, China

Received date: 2010-01-29

  Revised date: 2010-06-15

  Online published: 2011-01-20

摘要

利用截尾方法在一定尾概率条件下得到了三角阵列{Xn,j;1≤j≤kn,n≥1}的中偏差,其中{kn;n≥1}是一列严格单调递增的正整数且对任意的正整数n,{Xn,j;1≤j≤kn}是独立同分布的.

本文引用格式

高振龙 . 三角阵列的中偏差[J]. 中国科学院大学学报, 2011 , 28(1) : 5 -11 . DOI: 10.7523/j.issn.2095-6134.2011.1.002

Abstract

Using the method of truncation,we get the moderate deviations for triangular arrays of random variables {Xn,j;1≤j≤kn,n≥1} under some conditions of tail probability,where {kn;n≥1} is a sequence of strictly increasing positive integers and for any fixed n,{Xn,j;1≤j≤kn} are i.i.d.

参考文献


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