Computational Statistics & Data Analysis ( IF 1.5 ) Pub Date : 2021-01-26 , DOI: 10.1016/j.csda.2021.107180 Kuo-Jung Lee , Martin Feldkircher , Yi-Chi Chen
A Bayesian framework for finite mixture models to deal with model selection and the selection of the number of mixture components simultaneously is presented. For that purpose, a feasible reversible jump Markov Chain Monte Carlo algorithm is proposed to model each component as a sparse regression model. This approach is made robust to outliers by using a prior that induces heavy tails and works well under multicollinearity and with high-dimensional data. Finally, the framework is applied to cross-sectional data investigating early warning indicators. The results reveal two distinct country groups for which estimated effects of vulnerability indicators vary considerably.
中文翻译:
组件数量未知的回归模型的有限混合变量选择
提出了一种有限混合模型的贝叶斯框架,以同时处理模型选择和混合组分数量的选择。为此,提出了一种可行的可逆跳跃马尔可夫链蒙特卡罗算法,将每个组件建模为稀疏回归模型。通过使用先验的方法使该方法对异常值具有鲁棒性,该先验方法会导致出现大量尾巴,并且在多重共线性和高维数据下可以很好地工作。最后,该框架被应用于调查预警指标的横截面数据。结果揭示了两个不同的国家组,其脆弱性指标的估计影响差异很大。