• DocumentCode
    942709
  • Title

    The ergodic and entropy theorems revisited

  • Author

    Shields, Paul C.

  • Volume
    33
  • Issue
    2
  • fYear
    1987
  • fDate
    3/1/1987 12:00:00 AM
  • Firstpage
    263
  • Lastpage
    266
  • Abstract
    A new proof of Birkhoff´s ergodic theorem is given using a sample path covering idea, an idea created by Ornstein and Weiss in their extension of the information convergence theorem to random fields. A sketch of the Ornstein-Weiss proof for processes is included in the Appendix.
  • Keywords
    Entropy; Statistics; Stochastic processes; Entropy; Information theory; Mathematics;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1987.1057287
  • Filename
    1057287
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=942709