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Characterizations of the Pareto and related distributions

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Abstract.

In this note, a class of Pareto distributions is characterized based on the Shannon entropy of k-record statistics. As a consequence of that characterizations of the uniform and exponential distributions are given.

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Authors and Affiliations

  1. Department of Statistics, UAE University, AL Ain, United Arab Emirates (e-mail: Mraqab@uaeu.ac.ae), , , , , , AE

    Mohammad Z. Raqab

  2. Department of Mathematics, University of Jordan, Amman 11942 JORDAN, , , , , , JO

    Adnan M. Awad

Authors
  1. Mohammad Z. Raqab
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  2. Adnan M. Awad
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Received: October 1999

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Raqab, M., Awad, A. Characterizations of the Pareto and related distributions. Metrika 52, 63–67 (2000). https://doi.org/10.1007/s001840000061

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  • DOI: https://doi.org/10.1007/s001840000061

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