학술저널
CHARACTERIZATIONS OF GAMMA DISTRIBUTION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 20, No. 4
-
2007.12411 - 418 (8 pages)
- 2
Let X1, ¢ ¢ ¢ , Xn be nondegenerate and positive independent identically distributed(i.i.d.) random variables with common absolutely con-tinuous distribution function F(x) and E(X2) < 1. The random variables X1 + ¢ ¢ ¢ + Xn and X1+¢¢¢+Xm X1+¢¢¢+Xn are independent for 1 · m < n if and only if X1, ¢ ¢ ¢ , Xn have gamma distribution.
1. Introduction
2. Main results
References
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