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

[21] Linear Combination of Independent Exponential Random Variables
Li, Kim-Hung
Li, Cheuk Ting
METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2019, 21 (01) : 253 - 277
[22] Ordering properties of convolutions of exponential random variables
Bon, JL
Paltanea, E
LIFETIME DATA ANALYSIS, 1999, 5 (02) : 185 - 192
[23] An exponential inequality for negatively associated random variables
Jabbari, H.
Jabbari, M.
Azarnoosh, H. A.
ELECTRONIC JOURNAL OF STATISTICS, 2009, 3 : 165 - 175
[24] Dispersive ordering of convolutions of exponential random variables
Kochar, S
Ma, CS
STATISTICS & PROBABILITY LETTERS, 1999, 43 (03) : 321 - 324
[25] A FAST PROCEDURE FOR GENERATING EXPONENTIAL RANDOM VARIABLES
MACLAREN, MD
MARSAGLIA, G
BRAY, TA
COMMUNICATIONS OF THE ACM, 1964, 7 (05) : 298 - 301
[26] Parameter estimation for censored exponential random variables
Smith, L. Donnie
Blair, W. Dale
PROCEEDINGS OF THE 40TH SOUTHEASTERN SYMPOSIUM ON SYSTEM THEORY, 2008, : 289 - 292
[27] Exponential inequality for negatively associated random variables
H. Jabbari. Nooghabi
H. A. Azarnoosh
Statistical Papers, 2009, 50 : 419 - 428
[28] A Remark on the Exponential Inequality for Associated Random Variables
Xing, Guodong
Yang, Shanchao
PROCEEDING OF THE 10TH INTERNATIONAL CONFERENCE ON INTELLIGENT TECHNOLOGIES, 2009, : 506 - 509
[29] An Exponential Inequality for Negatively Associated Random Variables
Soo Hak Sung
Journal of Inequalities and Applications, 2009
[30] A note on the exponential inequality for associated random variables
Sung, Soo Hak
STATISTICS & PROBABILITY LETTERS, 2007, 77 (18) : 1730 - 1736

← 1 2 3 4 5 →