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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Volume 02 > No. 3

 
   

Almost Sure Limit Behavior of Discrete Random Sequence with Application to Arbitrary Information Sources

PP: 333-343
Author(s)
Zhong-Zhi Wang, Keyue Ding,
Abstract
In this paper, the notion of the limit of logarithmic likelihood ratio of random sequences, as a measure of dissimilarity between two probability measures, is introduced. After establishing a ratio of two measures by means of constructing a new probability measure, we obtained the strong random deviation theorems for partial sums of functions of arbitrary discrete random variables under suitable restrictive conditions. As a direct application, we used our results to derive some limit properties of discrete information source.

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