• DocumentCode
    526156
  • Title

    Entropy Inequalities for the generalized Gaussian

  • Author

    Kitsos, Christos P. ; Toulias, Thomas L.

  • Author_Institution
    Dept. of Math., Technol. Educ. Inst. of Athens, Athens, Greece
  • fYear
    2010
  • fDate
    21-24 June 2010
  • Firstpage
    551
  • Lastpage
    556
  • Abstract
    The target of this paper is to discuss the existent Poincaré and Logarithm Sobolev Inequalities (PI and LSI resp.) for the Gaussian (normal) distribution which is essential in theoretical Statistics and plays an important role in Information Theory and Statistics. The adopted Mathematical backround is usually simplified in practical applications. The entropy, energy and variance are related through some order due to PI and LSI. The extended multivariate normal, being a generalized Gaussian, also obeys to LSI.
  • Keywords
    Gaussian processes; Poincare mapping; Poincaré existent; entropy inequalities; generalized Gaussian; logarithm Sobolev inequalities; mathematical backround; theoretical statistics; Channel capacity; Covariance matrix; Entropy; Gaussian distribution; Large scale integration; Space technology; Entropy power; Information measures; Logarithmic Sobolev Inequalities; Poincaré Inequalities;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Technology Interfaces (ITI), 2010 32nd International Conference on
  • Conference_Location
    Cavtat/Dubrovnik
  • ISSN
    1330-1012
  • Print_ISBN
    978-1-4244-5732-8
  • Type

    conf

  • Filename
    5546482
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=526156