Acta mathematica scientia,Series A
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Chen Shouquan; Lin Zhengyan
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Abstract: The authors prove a general almost sure central limit theorem for a sequence of random elements, and apply the result to the functionals of random variables.
Key words: Almost sure central limit theorem, Random function, Stationary strongly mixing sequence, U-statistic
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Chen Shouquan; Lin Zhengyan. Almost Sure Central Limit Theorems for Functions of Random Variables[J].Acta mathematica scientia,Series A, 2008, 28(4): 747-756.
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http://actams.apm.ac.cn/sxwlxbA/EN/Y2008/V28/I4/747
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