贵州医科大学学报

1999, (03) 238-240

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具有随机足标的高斯序列的部分和与最大值的渐近联合分布
The Asymptotic Joint Distribution of Maximum and Sum of Gaussian Sequence with Random Sample Size

彭继世
Peng Jishi Department of Mathematics,Guiyang Medical College

摘要(Abstract):

设 {Xi,i≥ 1}是标准高斯序列 ,具有EXi =0 ,EX2 i =1,rij =cov(XI,Xj)。本文得到了rij 满足一定条件时 ,具有随机足标的最大值与部分和的联合渐近分布 ,平稳情形则作为特例被给出。
Let{X i,i≥1} be a standard Gaussian sequence of random variables with EX i=0,EX 2 i=1,r ij =cov(X i,X j).The asymptotic joint distribution of maximum and sum of Gaussian sequence with random sample size are obtained under some conditions that depended on r ij , The case of stationary sequence is give as an example.

关键词(KeyWords): 最大值;部分和;随机足标;高斯序列;联合分布
maximum; partial sum; random sample size; Gaussian sequence; joint distribution

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作者(Author): 彭继世
Peng Jishi Department of Mathematics,Guiyang Medical College

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