• Title of article

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

  • Author/Authors

    Wang, Kangkang Jiangsu University of Science and Technology - School of Mathematics and Physics, CHINA

  • From page
    729
  • To page
    736
  • 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.
  • Keywords
    Shannon , McMillan theorem , the consistent distribution , arbitrary information source , relative entropy density , m , order Markov information source , non , memory information source.
  • Journal title
    Turkish Journal of Mathematics
  • Journal title
    Turkish Journal of Mathematics
  • Record number

    2530962