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  • 标题:Analysis of variance for bayesian inference
  • 本地全文:下载
  • 作者:John Geweke ; Gianni Amisano
  • 期刊名称:Euro Area Balance of Payments and International Investment Position Statistics
  • 印刷版ISSN:1830-3420
  • 电子版ISSN:1830-3439
  • 出版年度:2011
  • 出版社:European Central Bank
  • 摘要:This paper develops a multi-way analysis of variance for non-Gaussian multivariate distributions and provides a practical simulation algorithm to estimate the corresponding components of variance. It specifically addresses variance in Bayesian predictive distributions, showing that it may be decomposed into the sum of extrinsic variance, arising from posterior uncertainty about parameters, and intrinsic variance, which would exist even if parameters were known. Depending on the application at hand, further decomposition of extrinsic or intrinsic variance (or both) may be useful. The paper shows how to produce simulation-consistent estimates of all of these components, and the method demands little additional effort or computing time beyond that already invested in the posterior simulator. It illustrates the methods using a dynamic stochastic general equilibrium model of the US economy, both before and during the global financial crisis.
  • 关键词:analysis of variance; Bayesian inference; predictive distributions;posterior simulation
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