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文章基本信息

  • 标题:Bayesian inference with rescaled Gaussian process priors
  • 作者:Aad van der Vaart ; Harry van Zanten
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2007
  • 卷号:1
  • 页码:433-448
  • 出版社:Institute of Mathematical Statistics
  • 摘要:We use rescaled Gaussian processes as prior models for functional parameters in nonparametric statistical models. We show how the rate of contraction of the posterior distributions depends on the scaling factor. In particular, we exhibit rescaled Gaussian process priors yielding posteriors that contract around the true parameter at optimal convergence rates. To derive our results we establish bounds on small deviation probabilities for smooth stationary Gaussian processes.
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