Mathematical Foundations of Infinite-Dimensional Statistical Models

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In nonparametric and high-dimensional statistical models, the classical Gauss–Fisher–Le Cam theory of the optimality of maximum likelihood estimators and Bayesian posterior inference does not apply, and new foundations and ideas have been developed in the past several decades. This book gives a coherent account of the statistical theory in infinite-dimensional parameter spaces. The mathematical fo...
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In nonparametric and high-dimensional statistical models, the classical Gauss–Fisher–Le Cam theory of the optimality of maximum likelihood estimators and Bayesian posterior inference does not apply, and new foundations and ideas have been developed in the past several decades. This book gives a coherent account of the statistical theory in infinite-dimensional parameter spaces. The mathematical fo...
Read more
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  • Formats: pdf
  • ISBN: 9781009022781
  • Publication Date: 25 Mar 2021
  • Publisher: Cambridge University Press
  • Product language: English
  • Drm Setting: DRM