dorsal/arxiv
View SchemaInference for bounded parameters
| Authors | D. A. S. Fraser, N. Reid, A. C. M. Wong |
|---|---|
| Categories | |
| ArXiv ID | physics/0303111 |
| URL | https://arxiv.org/abs/physics/0303111 |
| DOI | 10.1103/PhysRevD.69.033002 |
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.
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"abstract": "The estimation of signal frequency count in the presence of background noise\nhas had much discussion in the recent physics literature, and Mandelkern [1]\nbrings the central issues to the statistical community, leading in turn to\nextensive discussion by statisticians. The primary focus however in [1] and the\naccompanying discussion is on the construction of a confidence interval. We\nargue that the likelihood function and $p$-value function provide a\ncomprehensive presentation of the information available from the model and the\ndata. This is illustrated for Gaussian and Poisson models with lower bounds for\nthe mean parameter.",
"arxiv_id": "physics/0303111",
"authors": [
"D. A. S. Fraser",
"N. Reid",
"A. C. M. Wong"
],
"categories": [
"physics.data-an"
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"doi": "10.1103/PhysRevD.69.033002",
"title": "Inference for bounded parameters",
"url": "https://arxiv.org/abs/physics/0303111"
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