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Turkish Journal of Mathematics

Authors

KANGKANG WANG

DOI

10.3906/mat-0903-3

Abstract

In this study, a class of strong limit theorems for the relative entropy densities of random sum of arbitrary information source are discussed by constructing the joint distribution and nonnegative super martingales. As corollaries, some Shannon-McMillan theorems for arbitrary information source, mth-order Markov information source and non-memory information source are obtained and some results for the discrete information source which have been obtained by authors are extended.

First Page

729

Last Page

736

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