Checking the Model and the Prior for the Constrained Multinomial
Statistics Theory
2018-08-22 v1 Quantum Physics
Statistics Theory
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.
Cite
@article{arxiv.1804.06906,
title = {Checking the Model and the Prior for the Constrained Multinomial},
author = {Berthold-Georg Englert and Michael Evans and Gun Ho Jang and Hui Khoon Ng and David Nott and Yi-Lin Seah},
journal= {arXiv preprint arXiv:1804.06906},
year = {2018}
}