A note on characterizations of the geometric distribution

被引:1
作者
Cobbers, H
Kamps, U
机构
[1] Univ Dortmund, Dept Stat, D-44221 Dortmund, Germany
[2] Aachen Tech Univ, Inst Stat, D-52056 Aachen, Germany
关键词
geometric distribution; characterization; order statistics; contrast;
D O I
10.1016/S0378-3758(97)86578-0
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
Well-known characterizations of the geometric distribution via the independence of some contrast and the minimum in a sample of i.i.d. random variables are illustrated and supplemented. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:187 / 190
页数:4
相关论文
共 12 条
[1]   SOLUTION OF DENY CONVOLUTION EQUATION RESTRICTED TO A HALF LINE VIA A RANDOM-WALK APPROACH [J].
ALZAID, AA ;
LAU, KS ;
RAO, CR ;
SHANBHAG, DN .
JOURNAL OF MULTIVARIATE ANALYSIS, 1988, 24 (02) :309-329
[2]   2 CHARACTERIZATIONS OF THE GEOMETRIC DISTRIBUTION [J].
ARNOLD, BC .
JOURNAL OF APPLIED PROBABILITY, 1980, 17 (02) :570-573
[3]  
BECKER A, 1984, THESIS AACHEN U TECH
[4]   CHARACTERIZATIONS OF GEOMETRIC DISTRIBUTION AND DISCRETE IFR (DFR) DISTRIBUTIONS USING ORDER STATISTICS [J].
ELNEWEIHI, E ;
GOVINDARAJULU, Z .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1979, 3 (01) :85-90
[5]   A CHARACTERIZATION OF GEOMETRIC DISTRIBUTION [J].
FERGUSON, TS .
AMERICAN MATHEMATICAL MONTHLY, 1965, 72 (03) :256-&
[6]  
Galambos J., 1975, Statistical distributions in scientific work, V3, P89
[8]   SOME CHARACTERIZATIONS OF GEOMETRIC TYPE DISTRIBUTIONS BASED ON ORDER-STATISTICS [J].
NAGARAJA, HN ;
SRIVASTAVA, RC .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1987, 17 (02) :181-191
[9]   A CHARACTERIZATION OF THE GEOMETRIC DISTRIBUTION [J].
SREEHARI, M .
JOURNAL OF APPLIED PROBABILITY, 1983, 20 (01) :209-212
[10]  
Srivastava R. C, 1981, STATISTICAL DISTRIBU, V4, P349