Characterization of the geometric and exponential random variables

被引：2
|
作者：
Dodunekova, R
机构：
[1] Chalmers Univ Technol, Dept Math Stat, S-41296 Gothenburg, Sweden
[2] Univ Gothenburg, Gothenburg, Sweden
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2004年 / 33卷 / 08期
关键词：
geometric distribution; exponential distribution; characterization;
D O I：
10.1081/STA-120037439
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Let the random variable X be distributed over the non-negative integers and let L-m and R-m be the quotient and the remainder in the division of X by m. It is shown that X is geometric if and only if L-m and R-m are independent for m = 2, 3,.... In similar terms is also characterized the exponential random variable.
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页码：1755 / 1765
页数：11
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