dorsal/arxiv
View SchemaObjective Bayesian Statistics
| Authors | O. -A. Al-Hujaj, H. L. Harney |
|---|---|
| Categories | |
| ArXiv ID | physics/9706025 |
| URL | https://arxiv.org/abs/physics/9706025 |
Abstract
Bayesian inference --- although becoming popular in physics and chemistry --- is hampered up to now by the vagueness of its notion of prior probability. Some of its supporters argue that this vagueness is the unavoidable consequence of the subjectivity of judgements --- even scientific ones. We argue that priors can be defined uniquely if the statistical model at hand possesses a symmetry and if the ensuing confidence intervals are subjected to a frequentist criterion. Moreover, it is shown via an example taken from recent experimental nuclear physics, that this procedure can be extended to models with broken symmetry.
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"abstract": "Bayesian inference --- although becoming popular in physics and chemistry ---\nis hampered up to now by the vagueness of its notion of prior probability. Some\nof its supporters argue that this vagueness is the unavoidable consequence of\nthe subjectivity of judgements --- even scientific ones. We argue that priors\ncan be defined uniquely if the statistical model at hand possesses a symmetry\nand if the ensuing confidence intervals are subjected to a frequentist\ncriterion. Moreover, it is shown via an example taken from recent experimental\nnuclear physics, that this procedure can be extended to models with broken\nsymmetry.",
"arxiv_id": "physics/9706025",
"authors": [
"O. -A. Al-Hujaj",
"H. L. Harney"
],
"categories": [
"physics.data-an"
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"title": "Objective Bayesian Statistics",
"url": "https://arxiv.org/abs/physics/9706025"
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