TO SURVIVE OR TO FAIL - THAT IS THE QUESTION

被引:10
作者
ABEL, PS
SINGPURWALLA, ND
机构
[1] GEORGE WASHINGTON UNIV, DEPT OPERAT RES, WASHINGTON, DC 20052 USA
[2] GEORGE WASHINGTON UNIV, DEPT STAT, WASHINGTON, DC 20052 USA
关键词
ACCELERATED TESTING; CENSORING; ENTROPY; EXPONENTIAL DISTRIBUTION; FISHER INFORMATION; LIFE TESTING; PARAMETERIZATION; SHANNON INFORMATION; UNCERTAINTY;
D O I
10.2307/2685079
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
A question that naturally arises in life testing is the following: ''During the conduct of the test, what would you rather observe, a failure or a survival?'' Most people answer this question by saying failure, because intuitively, failures are presumed to provide more information about the parameters of a failure model than survivals. The aim of this article is to point out that such intuition could be misleading and that the answer depends on the particular parameterization that is chosen. The argument is made through the use of Shannon's measure of information in an experiment, with the exponential as an example.
引用
收藏
页码:18 / 21
页数:4
相关论文
共 12 条
[1]  
ABEL PS, 1991, THESIS GEORGE WASHIN
[2]  
BASU D, 1975, SANKHYA SER A, V37, P1
[3]   EXPECTED INFORMATION AS EXPECTED UTILITY [J].
BERNARDO, JM .
ANNALS OF STATISTICS, 1979, 7 (03) :686-690
[4]  
DeGroot, 1970, OPTIMAL STAT DECISIO, V82
[5]   RELATIVE INFORMATION LOSS UNDER TYPE-II CENSORED EXPONENTIAL DATA [J].
EBRAHIMI, N ;
SOOFI, ES .
BIOMETRIKA, 1990, 77 (02) :429-435
[6]  
EFRON B, 1978, BIOMETRIKA, V65, P457, DOI 10.2307/2335893
[7]   INFORMATION ABOUT HYPERPARAMETERS IN HIERARCHICAL-MODELS [J].
GOEL, PK ;
DEGROOT, MH .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1981, 76 (373) :140-147
[8]  
Hills SE, 1992, BAYESIAN STATISTICS, V4, P227
[9]   ON A MEASURE OF THE INFORMATION PROVIDED BY AN EXPERIMENT [J].
LINDLEY, DV .
ANNALS OF MATHEMATICAL STATISTICS, 1956, 27 (04) :986-1005
[10]  
MANN NR, 1974, MODELS STATISTICAL A