Affine Moments of a Random Vector

Erwin Lutwak, Songjun Lv, Deane Yang, Gaoyong Zhang

Research output: Contribution to journalArticlepeer-review


An affine invariant pth moment measure is defined for a random vector and used to prove sharp moment-entropy inequalities that are more general and stronger than standard moment-entropy inequalities.

Original languageEnglish (US)
Article number6524015
Pages (from-to)5592-5599
Number of pages8
JournalIEEE Transactions on Information Theory
Issue number9
StatePublished - 2013


  • Affine moment
  • Gaussian
  • Rényi entropy
  • Shannon entropy
  • Shannon theory
  • entropy
  • entropy inequality
  • generalized Gaussian
  • information measure
  • information theory
  • moment

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


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