标题： 多元Ewens分布的默认贝叶斯分析 显示英文标题

标题： Default Bayesian Analysis for the Multivariate Ewens Distribution

摘要： 我们推导出多项式Ewens分布参数的Jeffreys先验，并研究了它的某些性质。特别是，我们证明了这个先验是适当的且没有有限矩。我们还探讨了这个默认先验对物种数的先验分布以及发现新物种的先验概率的影响，这些通常用于主观先验的获取。通过物种抽样模型和Dirichlet过程混合模型推理上下文中出现的例子，展示了Jeffreys先验对后验推理的影响。 显示英文摘要

摘要： We derive the Jeffreys prior for the parameter of the Multivariate Ewens Distribution and study some of its properties. In particular, we show that this prior is proper and has no finite moments. We also investigate the impact of this default prior on the a priori distribution of the number of species and the a priori probability of discovery of a new species, which are usually employed in subjective prior elicitation. The effect of the Jeffreys prior for posterior inference is illustrated using examples arising in the context of inference for species sampling models and Dirichlet process mixture models.