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文章基本信息

  • 标题:Objective Bayesian Inference for a Generalized Marginal Random Effects Model
  • 本地全文:下载
  • 作者:O. Bodnar ; A. Link ; C. Elster
  • 期刊名称:Bayesian Analysis
  • 印刷版ISSN:1931-6690
  • 电子版ISSN:1936-0975
  • 出版年度:2016
  • 卷号:11
  • 期号:1
  • 页码:25-45
  • DOI:10.1214/14-BA933
  • 语种:English
  • 出版社:International Society for Bayesian Analysis
  • 摘要:An objective Bayesian inference is proposed for the generalized marginal random effects model p(x|μ,σλ)=f((x−μ1)T(V+σλ2I)−1(x−μ1))/det(V+σλ2I). The matrix V is assumed to be known, and the goal is to infer μ given the observations x=(x1,…,xn)T, while σλ is a nuisance parameter. In metrology this model has been applied for the adjustment of inconsistent data x1,…,xn, where the matrix V contains the uncertainties quoted for x1,…,xn.
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