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A weak invariance principle for self-normalized products of sums of mixing sequences
Authors:Ke-ang Fu  Wei Huang
Affiliation:Dept. of Math., Zhejiang Univ., Hangzhou 310027, China
Abstract:Let {X,Xn,n≥1} be a sequence of strictly stationary φ-mixing positive random variables in the domain of attraction of the normal law. Under some suitable conditions the weak invariance principle for self-normalized products of partial sums is obtained.
Keywords:self-normalized  product  domain of attraction of the normal law  Wiener process
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