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Existence and continuity of differential entropy for a class of distributions

Ghourchian, H ; Sharif University of Technology | 2017

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  1. Type of Document: Article
  2. DOI: 10.1109/LCOMM.2017.2689770
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2017
  4. Abstract:
  5. In this letter, we identify a class of absolutely continuous probability distributions, and show that the differential entropy is uniformly convergent over this space under the metric of total variation distance. One of the advantages of this class is that the requirements could be readily verified for a given distribution. © 1997-2012 IEEE
  6. Keywords:
  7. Absolutely continuous random vector ; Total variation distance ; Entropy ; Information theory ; Class of distributions ; Continuous probability distribution ; Differential entropy ; Random vectors ; Total variation ; Uniformly convergent ; Probability distributions
  8. Source: IEEE Communications Letters ; Volume 21, Issue 7 , 2017 , Pages 1469-1472 ; 10897798 (ISSN)
  9. URL: https://ieeexplore.ieee.org/document/7890426