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[beta]-entropy for Pareto-type distributions and related weighted distributions

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  • Riabi, Mehdi Yaghoobi Avval
  • Mohtashami Borzadaran, G.R.
  • Yari, G.H.

Abstract

In this paper, we derive the [beta]-entropy for Pareto-type and related distributions. Further, the [beta]-entropy for some weighted versions of these distributions, such as order statistics, proportional hazards, proportional reversed hazards, probability weighted moments, upper record and lower record, is obtained.

Suggested Citation

  • Riabi, Mehdi Yaghoobi Avval & Mohtashami Borzadaran, G.R. & Yari, G.H., 2010. "[beta]-entropy for Pareto-type distributions and related weighted distributions," Statistics & Probability Letters, Elsevier, vol. 80(19-20), pages 1512-1519, October.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:19-20:p:1512-1519
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    References listed on IDEAS

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    1. Herrmann, Klaus, 2009. "Non-Extensitivity versus informative moments for financial models: a unifying framework and empirical results," FAU Discussion Papers in Economics 07/2009, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
    2. Saralees Nadarajah & Samuel Kotz, 2007. "Two generalized beta distributions," Applied Economics, Taylor & Francis Journals, vol. 39(14), pages 1743-1751.
    3. Felix Belzunce & Jorge Navarro & José M. Ruiz & Yolanda del Aguila, 2004. "Some results on residual entropy function," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 59(2), pages 147-161, May.
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