β -entropy for Pareto-type distributions and related weighted distributions

In this paper, we derive the β -entropy for Pareto-type and related distributions. Further, the β -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...

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Veröffentlicht in:Statistics & probability letters 2010-10, Vol.80 (19), p.1512-1519
Hauptverfasser: Riabi, Mehdi Yaghoobi Avval, Mohtashami Borzadaran, G.R., Yari, G.H.
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creator Riabi, Mehdi Yaghoobi Avval
Mohtashami Borzadaran, G.R.
Yari, G.H.
description In this paper, we derive the β -entropy for Pareto-type and related distributions. Further, the β -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.
doi_str_mv 10.1016/j.spl.2010.06.003
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subjects Burr distributions
Distribution theory
Exact sciences and technology
General topics
Mathematics
Nonparametric inference
Order statistics
Pareto distributions
Probability and statistics
Probability theory and stochastic processes
Renyi entropy
Sciences and techniques of general use
Statistics
Weighted distributions
title β -entropy for Pareto-type distributions and related weighted distributions
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