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On Characterizations of Exponential Distribution through Order Statistics and Record Values with Random Shifts |
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PP: 223-227 |
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Author(s) |
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M. Ahsanullah,
Imtiyaz A. Shah,
George P. Yanev,
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Abstract |
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| Distributional relations of the form Y d=
X +T 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. |
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