Some Characterizations of Exponential Distribution
نویسندگان
چکیده
منابع مشابه
Characterizations of the Exponential Distribution
In this note, two characterizations of the exponential distribution are established. Theorem 1: Let a > -1, a ~ O. A positive random variable X has an exponential distribution if and only if E[CX-y)aI X > y] is a finite constant for all y ~ O. Theorem 2: Let Xl ,X2, ..• ,Xn be i.i.d. random variables having a continuous distribution FCx), and XCl)'XC2)' ... 'XCn) their order statistics. Let a >...
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ژورنال
عنوان ژورنال: International Journal of Statistics and Probability
سال: 2017
ISSN: 1927-7040,1927-7032
DOI: 10.5539/ijsp.v6n5p132