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A strong limit theorem for generalized Cantor-like random sequences |
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| Authors: | Wen Liu |
| Affiliation: | (1) Department of Mathematics and Physics, Hebei University of Technology, 300130 Tianjin, China |
| Abstract: | Let {q
n
,n 0} be a sequence of positive integers, andI
n
={0,1,...,q
n
}. The sequence of random variables {X
n
,n0} is called a Cantor-like random sequence if for everyn,X
n
takes on values inI
n
, andP(X
0=x
0,...,X
n
=x
n
)>0,x
i
 I
i
, 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. |
| Keywords: | Strong limit theorem strong law of large numbers a generalized Cantor-like random sequence |
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