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.

引用

页码：1755 / 1765

页数：11

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