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  • 标题:The Directional Identification Problem in Bayesian Factor Analysis: An Ex-Post Approach
  • 本地全文:下载
  • 作者:Christian Aßmann ; Jens Boysen-Hogrefe ; Markus Pape
  • 期刊名称:Economics working paper / Department of Economics, Christian-Albrechts-Universität Kiel
  • 出版年度:2012
  • 卷号:2012
  • 出版社:Universität Kiel
  • 摘要:Due to their well-known indeterminacies, factor models require identifying assumptions to guarantee unique parameter estimates. For Bayesian estimation, these identifying assumptions are usually implemented by imposing constraints on certain model parameters. This strategy, however, may result in posterior distributions with shapes that depend on the ordering of cross-sections in the data set. We propose an alternative approach, which relies on a sampler without the usual identifying constraints. Identification is reached ex-post based on a Procrustes transformation. Resulting posterior estimates are ordering invariant and show favorable properties with respect to convergence and statistical as well as numerical accuracy.
  • 关键词:Bayesian Estimation; Factor Models; Multimodality; Ordering Problem; Orthogonal ;Transformation
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