A strong limit theorem for generalized Cantor-like random sequences |
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| Authors: | Wen Liu |
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| Affiliation: | (1) Department of Mathematics and Physics, Hebei University of Technology, 300130 Tianjin, China |
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| Abstract: | Let {qn,n 0} be a sequence of positive integers, andIn={0,1,...,qn}. The sequence of random variables {Xn,n0} is called a Cantor-like random sequence if for everyn,Xn takes on values inIn, andP(X0=x0,...,Xn=xn)>0,xi Ii, 0 in. The purpose of this paper is to give a strong limit theorem for these sequences.This project is supported by the Science Foundation of Heibei Province. |
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| Keywords: | Strong limit theorem strong law of large numbers a generalized Cantor-like random sequence |
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