Minkowski–Weyl Priors for Models With Parameter Constraints: An Analysis of the BioCycle Study
参数受约束模型的 Minkowski–Weyl 先验：BioCycle 研究分析
We propose a general framework for performing full Bayesian analysis under linear inequality parameter constraints. The proposal is motivated by the BioCycle Study, a large cohort study of hormone levels of healthy women where certain well-established linear inequality constraints on the log-hormone levels should be accounted for in the statistical inferential procedure. Based on the Minkowski–Weyl decomposition of polyhedral regions, we propose a class of priors that are…