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On the generalized cumulative residual entropy weighted distributions

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  • Georgios Psarrakos
  • Polychronis Economou

Abstract

Recently, Feizjavadian and Hashemi (2015) introduced and studied the mean residual weighted (MRW) distribution as an alternative to the length-biased distribution, by using the concepts of the mean residual lifetime and the cumulative residual entropy (CRE). In this article, a new sequence of weighted distributions is introduced based on the generalized CRE. This sequence includes the MRW distribution. Properties of this sequence are obtained generalizing and extending previous results on the MRW distribution. Moreover, expressions for some known distributions are given, and finite mixtures between the new sequence of weighted distributions and the length-biased distribution are studied. Numerical examples are given to illustrate the new results.

Suggested Citation

  • Georgios Psarrakos & Polychronis Economou, 2017. "On the generalized cumulative residual entropy weighted distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(22), pages 10914-10925, November.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:22:p:10914-10925
    DOI: 10.1080/03610926.2016.1252402
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