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Titlebook: Bayesian Inference; Parameter Estimation Hanns L. Harney Textbook 20031st edition Springer-Verlag Berlin Heidelberg 2003 Bayes Theorem.Data

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发表于 2025-3-21 17:39:46 | 显示全部楼层 |阅读模式
期刊全称Bayesian Inference
期刊简称Parameter Estimation
影响因子2023Hanns L. Harney
视频video
发行地址Brings a basic introduction for advanced undergraduates and graduates.With applications to physics.Works also w/o thorough knowledge of quantum mechanics.Includes supplementary material:
学科分类Advanced Texts in Physics
图书封面Titlebook: Bayesian Inference; Parameter Estimation Hanns L. Harney Textbook 20031st edition Springer-Verlag Berlin Heidelberg 2003 Bayes Theorem.Data
影响因子.Filling a longstanding need in the physical sciences, .Bayesian Inference. offers the first basic introduction for advanced undergraduates and graduates in the physical sciences. This text and reference generalizes Gaussian error intervals to situations in which the data follow distributions other than Gaussian. This usually occurs in frontier science because the observed parameter is barely above the background or the histogram of multiparametric data contains many empty bins. In this case, the determination of the validity of a theory cannot be based on the chi-squared-criterion. In addition to the solutions of practical problems, this approach provides an epistemic insight: the logic of quantum mechanics is obtained as the logic of unbiased inference from counting data. Requiring no knowledge of quantum mechanics, the text is written on introductory level, with many examples and exercises, for physicists planning to, or working in, fields such as medical physics, nuclear physics, quantum mechanics, and chaos... .
Pindex Textbook 20031st edition
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发表于 2025-3-21 23:50:29 | 显示全部楼层
,Bayes’ Theorem,of densities and functions are discussed in Sect. 2.2. A symmetry argument can define the prior. This is described in Sects. 2.3 and 2.4. Prior distributions are not necessarily proper. In Sect. 2.5, we comment on improper distributions because it is unusual to admit any of them.
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Form Invariance I: Real ,, density discussed in Sect. 2.2. Under a reparameterisation of the hypothesis, the uniform density generally changes into another one that is no longer uniform. If there were a distribution invariant under all transformations, it would be the universal ignorance prior. Such a distribution does not e
发表于 2025-3-22 12:47:40 | 显示全部楼层
Beyond Form Invariance: The Geometric Prior,ticular, without knowledge of the multiplication function. This is useful because the analysis of the symmetry group may be difficult. This is also of basic importance, since the formula allows one to generalise the definition of the prior distribution to cases where form invariance does not exist.
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Independence of Parameters,l . is assumed here to have two parameters. The way in which the model connects the parameters .. and .. with the set . = (.., ..., ..) of events may be such that it is impossible to integrate over one of them — say .. — and to infer .. individually. The reason is that it may be impossible to define
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发表于 2025-3-23 02:43:14 | 显示全部楼层
Judging a Fit I: Real ,, 13, the function .(.) is actually a family of functions .(.; .), and one determines the range of . that falls into the Bayesian area. It is possible that even the optimum parameter .., defined in Sect. 3.3, yields an inadequate fit. The optimum parameter suggests that one can represent the observed
发表于 2025-3-23 08:24:11 | 显示全部楼层
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