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  • 标题:Use of BayesSim and Smoothing to Enhance Simulation Studies
  • 本地全文:下载
  • 作者:Jeffrey D. Hart
  • 期刊名称:Open Journal of Statistics
  • 印刷版ISSN:2161-718X
  • 电子版ISSN:2161-7198
  • 出版年度:2017
  • 卷号:07
  • 期号:01
  • 页码:153-172
  • DOI:10.4236/ojs.2017.71012
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:The conventional form of statistical simulation proceeds by selecting a few models and generating hundreds or thousands of data sets from each model. This article investigates a different approach, called BayesSim, that generates hundreds or thousands of models from a prior distribution, but only one (or a few) data sets from each model. Suppose that the performance of estimators in a parametric model is of interest. Smoothing methods can be applied to BayesSim output to investigate how estimation error varies as a function of the parameters. In this way inferences about the relative merits of the estimators can be made over essentially the entire parameter space, as opposed to a few parameter configurations as in the conventional approach. Two examples illustrate the methodology: One involving the skew-normal distribution and the other nonparametric goodness-of-fit tests.
  • 关键词:Loss Function;Bayes Risk;Prior Distribution;Regression;Simulation;Skew-Normal Distribution;Goodness of Fit
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