CHARACTERIZATION OF BETA, BINOMIAL, AND POISSON-DISTRIBUTIONS

被引：29

作者：

AHMED, AN ^{[1
]}

机构：

[1] UNIV CAIRO,CAIRO,EGYPT

来源：

IEEE TRANSACTIONS ON RELIABILITY | 1991年 / 40卷 / 03期

关键词：

CHARACTERIZATION; CONDITIONAL EXPECTATION; BETA-DISTRIBUTION; POWER DISTRIBUTION; BINOMIAL DISTRIBUTION; POISSON DISTRIBUTION; FAILURE RATE; MEAN RESIDUAL LIFE;

D O I：

10.1109/24.85443

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

Characterizations of beta, binomial, and Poisson distributions are presented by using conditional expectation. A necessary and sufficient condition is given in terms of the failure rate of each distribution. Some practical applications are presented.

引用

收藏

页码：290 / 295

页数：6

相关论文

共 22 条

[1] 2 CHARACTERIZATIONS OF THE GEOMETRIC DISTRIBUTION [J].

ARNOLD, BC .

JOURNAL OF APPLIED PROBABILITY, 1980, 17 (02) :570-573

[2]

BARLOW RE, 1975, STATISTICAL THEORY R

[3]

BICKEL P, 1969, ANN MATH STAT, V40, P216

[4] SOME CRITERIA FOR AGING [J].

BRYSON, MC ;

SIDDIQUI, MM .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1969, 64 (328) :1472-&

[5] CHARACTERIZING THE GEOMETRIC DISTRIBUTION USING EXPECTATIONS OF ORDER-STATISTICS [J].

DALLAS, AC .

JOURNAL OF APPLIED PROBABILITY, 1987, 24 (02) :534-539

[6] THE CHARACTERIZATION OF DISTRIBUTIONS BY ORDER-STATISTICS AND RECORD VALUES - A UNIFIED APPROACH [J].

DEHEUVELS, P .

JOURNAL OF APPLIED PROBABILITY, 1984, 21 (02) :326-334

[7]

Galambos J., 1978, CHARACTERIZATION PRO

[8] ON THE MONOTONIC PROPERTIES OF THE RESIDUAL VARIANCE AND THEIR APPLICATIONS IN RELIABILITY [J].

GUPTA, RC .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1987, 16 (03) :329-335

[9]

HILLIER FS, 1989, INTRO OPERATIONS RES

[10] TESTING WHETHER NEW IS BETTER THAN USED [J].

HOLLANDER, M ;

PROSCHAN, F .

ANNALS OF MATHEMATICAL STATISTICS, 1972, 43 (04) :1136-+