Relationships between order statistics and record values and some characterization results
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.
1984 ◽
Vol 21
(02)
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pp. 425-430
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2014 ◽
Vol 38
(4)
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pp. 1411-1423
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2015 ◽
Vol 4
(2)
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pp. 370