학술저널
CHARACTERIZATIONS OF THE WEIBULL DISTRIBUTION BY THE INDEPENDENCE OF RECORD VALUES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 21, No. 2
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2008.06279 - 285 (7 pages)
- 0
This paper presents some characterizations of theWeibull distribution by the independence of record values. We prove that X Weibull(1, ), > 0 if and only if XU(n+1)XU(n+1)−XU(n)and XU(n+1)for n 1 are independent. We show that X Weibull(1, ), > 0if and only if XU(n)XU(n+1)−XU(n) and XU(n+1) for n 1 are independent. And we establish that X Weibull(1, ), > 0 if and only if XU(n+1)+XU(n) XU(n+1)−XU(n) and XU(n+1) for n 1 are independent.
1. Introduction
2. Main theorems
References
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