Checking for model failure and for prior-data conflict with the constrained multinomial model

被引：0

作者：

Berthold-Georg Englert

Michael Evans

Gun Ho Jang

Hui Khoon Ng

David Nott

Yi-Lin Seah

机构：

[1] National University of Singapore and MajuLab,Centre for Quantum Technologies, Department of Physics

[2] University of Toronto,Department of Statistical Sciences

[3] Ontario Institute for Cancer Research,Yale

[4] MajuLab,NUS College, Centre for Quantum Technologies

[5] National Unversity of Singapore,Department of Statistics and Applied Probability

[6] Centre for Quantum Technologies,undefined

来源：

Metrika | 2021年 / 84卷

关键词：

Model checking; Checking for prior-data conflict; Quantum state estimation; Hardy–Weinberg equilibrium; Ordered probabilities; Elicitation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Multinomial models can be difficult to use when constraints are placed on the probabilities. An exact model checking procedure for such models is developed based on a uniform prior on the full multinomial model. For inference, a nonuniform prior can be used and a consistency theorem is proved concerning a check for prior-data conflict with the chosen prior. Applications are presented and a new elicitation methodology is developed for multinomial models with ordered probabilities.

引用

页码：1141 / 1168

页数：27

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