A weak invariance principle for self-normalized products of sums of mixing sequences  

A weak invariance principle for self-normalized products of sums of mixing sequences

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作  者:FU Ke-ang HUANG Wei 

机构地区:[1]Dept. of Math., Zhejiang Univ., Hangzhou 310027, China

出  处:《Applied Mathematics(A Journal of Chinese Universities)》2008年第2期183-189,共7页高校应用数学学报(英文版)(B辑)

基  金:National Natural Science Foundation of China(10671176;10771192).

摘  要:Let variables in the {X, Xn, n ≥ 1} be a sequence of strictly stationary φ-mixing positive random domain of attraction of the normal law. Under some suitable conditions the principle for self-normalized products of partial sums is obtained.Let variables in the {X, Xn, n ≥ 1} be a sequence of strictly stationary φ-mixing positive random domain of attraction of the normal law. Under some suitable conditions the principle for self-normalized products of partial sums is obtained.

关 键 词:SELF-NORMALIZED product domain of attraction of the normal law Φ-MIXING Wiener process. 

分 类 号:O241[理学—计算数学]

 

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