The role of Bayesian philosophy within Bayesian model selection

The role of Bayesian philosophy within Bayesian model selection
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贝叶斯哲学在贝叶斯模型选择中的作用

DOI:
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发表时间:
2013
期刊:
影响因子:
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通讯作者:
J. Sprenger
J. Sprenger
中科院分区:
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文献类型:
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作者:
J. Sprenger

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贝叶斯模型选择经常成为哲学探究的焦点(例如,Forster, Br J Philos Sci 46:399–424, 1995;Bandyopadhyay 和 Boik, Philos Sci 66:S390–S402, 1999;Dowe 等人, Br J Philos Sci 58:709–754, 2007)。本文认为贝叶斯模型选择程序的推理目标和理由非常多样化,并通过对三个选定程序(MML、BIC 和 DIC)的案例研究证实了这一观点。因此,贝叶斯模型选择和贝叶斯哲学之间没有紧密联系。因此,应该非常谨慎地对待基于贝叶斯模型选择过程的属性的支持或反对贝叶斯推理的论点。
Bayesian model selection has frequently been the focus of philosophical inquiry (e.g., Forster, Br J Philos Sci 46:399–424, 1995; Bandyopadhyay and Boik, Philos Sci 66:S390–S402, 1999; Dowe et al., Br J Philos Sci 58:709–754, 2007). This paper argues that Bayesian model selection procedures are very diverse in their inferential target and their justification, and substantiates this claim by means of case studies on three selected procedures: MML, BIC and DIC. Hence, there is no tight link between Bayesian model selection and Bayesian philosophy. Consequently, arguments for or against Bayesian reasoning based on properties of Bayesian model selection procedures should be treated with great caution.
DOI: 10.1111/j.2044-8317.2011.02037.x
发表时间: 2013-02
期刊: The British journal of mathematical and statistical psychology
影响因子: --
作者:
Gelman A;Shalizi CR
通讯作者: Shalizi CR