학술저널
A CHARACTERIZATION OF THE POWER FUNCTION DISTRIBUTION BY INDEPENDENT PROPERTY OF LOWER RECORD VALUES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 26, No. 2
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2013.05269 - 273 (5 pages)
- 5
We prove a characterization of the power function dis- tribution by lower record values. We prove that F(x) = ¡x a ¢？？ for all x, 0 < x < a, ？？ > 0 and a > 0 if and only if XL(n) XL(m) and XL(m) are independent for 1 · m < n.
1. Introduction
2. Main results
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