APPROXIMATE POISSON CONFIDENCE-LIMITS

被引:15
|
作者
SCHWERTMAN, NC [1 ]
MARTINEZ, RA [1 ]
机构
[1] CALIF STATE UNIV LOS ANGELES,DEPT MATH & STAT,CHICO,CA 95929
关键词
NORMAL APPROXIMATION; CONFIDENCE INTERVAL;
D O I
10.1080/03610929408831336
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
This paper examines the accuracy of various normal approximations for the confidence limits for the Poisson parameter lambda. While exact limits can be obtained from the Chi-square distribution, for large numbers of total counts, Chi-square values for large degrees of freedom are required and may not be readily available. Approximations provided by Pratt (1968) and Molenaar (1973) provide very accurate confidence limits while the two usual approximations, both with and without the continuity correction, are relatively inaccurate.
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页码:1507 / 1529
页数:23
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