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.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Cited by
44 articles.
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1. Characterizations of Univariate Continuous Distributions;Atlantis Studies in Probability and Statistics;2017
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5. Characterizations via regression of generalized order statistics;Statistical Methodology;2013-05