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Article overview
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Inference for bounded parameters | D.A.S. Fraser
; N. Reid
; A.C.M. Wong
; | Date: |
27 Mar 2003 | Subject: | Data Analysis, Statistics and Probability | physics.data-an | Affiliation: | University of Toronto, York University | Abstract: | 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 $p$-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. | Source: | arXiv, physics/0303111 | Services: | Forum | Review | PDF | Favorites |
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