Precise rates in the law of logarithm fo
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Tian-Xiao Pang; Zheng-Yan Lin
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Article
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2005
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Elsevier Science
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English
β 559 KB
## Let {x,x~ ; n >\\_ 1} be a sequence of i.i.d, random variables. Set Sn = X1 + X2 + β’ .. +Xn and M,~ = maxk 1. By using the strong approximation method, we obtain that for any -1 if and only if EX = 0 and EX 2 < oo, which strengthen and extend the result of Gut and Sp~taru [1], where N is the stan