Inference for bounded parameters

被引：14

作者：

Fraser, DAS

Reid, N

Wong, ACM

机构：

[1] Univ Toronto, Dept Stat, Toronto, ON M5S 3G3, Canada

[2] York Univ, Atkinson Fac, SASIT, N York, ON M3J 1P3, Canada

来源：

PHYSICAL REVIEW D | 2004年 / 69卷 / 03期

关键词：

D O I：

10.1103/PhysRevD.69.033002

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The estimation of the signal frequency count in the presence of background noise has been widely discussed in recent physics literature, and Mandelkern [Stat. Sci. 17, 149 (2002)] brings the central issues to the statistical community, leading in turn to extensive discussion by statisticians. The primary focus however of Mandelkern and the accompanying discussion is on the construction of a confidence interval. We argue that the likelihood function and p-value function provide a comprehensive presentation of the information available from the model and the data. This is illustrated for Gaussian and Poisson models with lower bounds for the mean parameter.

引用

页数：6

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