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Relationships between order statistics and record values and some characterization results

Published online by Cambridge University Press:  14 July 2016

Ramesh C. Gupta
Ramesh C. Gupta*
Affiliation:
University of Maine at Orono
*
∗ Present address: Biomathematics Modeling Branch (SAM/BR), USAF School of Aerospace Medicine, Brooks AFB, TX 78235, U.S.A.
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Abstract

The similarity between order statistics and record values motivated us, in this paper, to investigate some relationships between the order statistics and the record values. These relationships are employed to characterize a continuous distribution by some moment properties of the spacings of the record values, and hence obtain characterizations of the exponential distribution. Some of the well-known results follow trivially.

Keywords

EXPONENTIAL DISTRIBUTION
Type
Short Communications
Information
Journal of Applied Probability , Volume 21 , Issue 2 , June 1984 , pp. 425 - 430
Copyright
Copyright © Applied Probability Trust 1984 

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