标题： 贝叶斯序识别的界限及其在混合模型中的应用 显示英文标题

标题： Bounds for Bayesian order identification with application to mixtures

摘要： 研究了两种贝叶斯阶数估计器的效率。通过使用非参数技术，我们证明了新的低估和高估界限。这些结果适用于多种模型，包括混合模型。在这种情况下，误差分别被证明为 $O(e^{-an})$ 和 $O((\log n)^b/\sqrt{n})$ ($a,b>0$)。 显示英文摘要

摘要： The efficiency of two Bayesian order estimators is studied. By using nonparametric techniques, we prove new underestimation and overestimation bounds. The results apply to various models, including mixture models. In this case, the errors are shown to be $O(e^{-an})$ and $O((\log n)^b/\sqrt{n})$ ($a,b>0$), respectively.