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.
Format:	Artikel
Sprache:	eng
Schlagworte:	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
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Zusammenfassung:	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.
ISSN:	0167-7152 1879-2103
DOI:	10.1016/j.spl.2010.06.003