On Characterizations of Exponential Distribution through Order Statistics and Record Values with Random Shifts

Distributional relations of the form ... where X, Y, and T are record values or order statistics and the random translator T is independent from X are considered. Characterizations of the exponential distribution when the ordered random variables are non-neighboring are proved. Corollaries for Paret...

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Veröffentlicht in:	Journal of statistics applications & probability 2013-11, Vol.2 (3), p.223-223
Hauptverfasser:	Ahsanullah, M, Shah, Imtiyaz A, Yanev, George P
Format:	Artikel
Sprache:	eng
Schlagworte:	Electric power distribution
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Distributional relations of the form ... where X, Y, and T are record values or order statistics and the random translator T is independent from X are considered. Characterizations of the exponential distribution when the ordered random variables are non-neighboring are proved. Corollaries for Pareto and power function distributions are also derived.
ISSN:	2090-8423 2090-8431
DOI:	10.12785/jsap/020304