학술저널
CHARACTERIZATIONS OF THE EXPONENTIAL DISTRIBUTION BY RECORD VALUES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 19, No. 4
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2006.121 - 7 (7 pages)
- 0
This paper presents characterizations based on the identical distribution and the finite moments of the exponential distribution by record values. We prove that X ∈ EXP (σ), σ > 0, if and only if X U (n+k) − X U (n) and X U (n) − X U (n−k) for n > 1 and k ≥ 1 are identically distributed. Also, we show that X ∈ EXP (σ), σ > 0, if and only if E = E ¡ X U (n) − X U (n−k) ¢ for n > 1 and k ≥ 1.
1. Introduction
2. Main results
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