Inference for bounded parameters
数据分析、统计与概率
2009-11-10 v2
摘要
The estimation of signal frequency count in the presence of background noise has had much discussion in the recent physics literature, and Mandelkern [1] brings the central issues to the statistical community, leading in turn to extensive discussion by statisticians. The primary focus however in [1] and the accompanying discussion is on the construction of a confidence interval. We argue that the likelihood function and -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
@article{arxiv.physics/0303111,
title = {Inference for bounded parameters},
author = {D. A. S. Fraser and N. Reid and A. C. M. Wong},
journal= {arXiv preprint arXiv:physics/0303111},
year = {2009}
}