Checking the Model and the Prior for the Constrained Multinomial

2018/04/18 by Berthold‐Georg Englert, Michael Evans, Englert, Berthold-Georg +9 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Bayesian Modeling and Causal Inference #FOS: Mathematics #FOS: Physical sciences #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy #Statistical Methods and Bayesian Inference #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1804.06906

openalex publication_date 2018/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The multinomial model is one of the simplest statistical models. When constraints are placed on the possible values for the probabilities, however, it becomes much more difficult to deal with. Model checking and checking for prior-data conflict is considered here for such models. A theorem is proved that establishes the consistency of the check on the prior. Applications are presented to models that arise in quantum state estimation as well as the Bayesian analysis of models for ordered probabilities.

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