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

共 50 条

[1] SCHUR PROPERTIES OF CONVOLUTIONS OF EXPONENTIAL AND GEOMETRIC RANDOM-VARIABLES
BOLAND, PJ
ELNEWEIHI, E
PROSCHAN, F
JOURNAL OF MULTIVARIATE ANALYSIS, 1994, 48 (01) : 157 - 167
[2] On the Distribution of the Sum of Independent Exponential-Geometric Random Variables
AL-Zaydi, Areej M.
ELECTRONIC JOURNAL OF APPLIED STATISTICAL ANALYSIS, 2023, 16 (03) : 694 - 710
[3] Likelihood ratio ordering of convolutions of heterogeneous exponential and geometric random variables
Zhao, Peng
Balakrishnan, N.
STATISTICS & PROBABILITY LETTERS, 2009, 79 (15) : 1717 - 1723
[4] An Exponential Inequality for Symmetric Random Variables
Cerf, Raphael
Gorny, Matthias
AMERICAN MATHEMATICAL MONTHLY, 2015, 122 (08): : 786 - 789
[5] EXPONENTIAL INEQUALITIES FOR BOUNDED RANDOM VARIABLES
Huang, Guangyue
Guo, Xin
Du, Hongxia
He, Yi
Miao, Yu
MATHEMATICA SLOVACA, 2015, 65 (06) : 1557 - 1570
[6] SUM OF EXPONENTIAL RANDOM-VARIABLES
DEMARET, JC
GARCET, A
AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS, 1977, 31 (11): : 445 - 448
[7] EXPONENTIAL INEQUALITIES FOR DEPENDENT RANDOM VARIABLES
邵启满
Acta Mathematicae Applicatae Sinica, 1990, (04) : 338 - 350
[8] GENERATING EXPONENTIAL RANDOM-VARIABLES
MARSAGLIA, G
ANNALS OF MATHEMATICAL STATISTICS, 1961, 32 : 899 - &
[9] On the exponential inequality for acceptable random variables
Yuebao Wang
Yawei Li
Qingwu Gao
Journal of Inequalities and Applications, 2011
[10] On the exponential inequality for acceptable random variables
Wang, Yuebao
Li, Yawei
Gao, Qingwu
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,

← 1 2 3 4 5 →