A class of generalized Shannon-McMillan theorems for arbitrary discrete information source

作者：Wang, Kangkang^*

来源：Turkish Journal of Mathematics, 2011, 35(4): 729-736.

DOI：10.3906/mat-0903-3

• Shannon-McMillan theorem
• the consistent distribution
• arbitrary information source
• relative entropy density
• m-order Markov information source
• non-memory information source

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.

• 出版日期2011
• 单位江苏科技大学