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      Chapter

      Parametric nonlinear models
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      Chapter

      Parametric nonlinear models

      DOI link for Parametric nonlinear models

      Parametric nonlinear models book

      Parametric nonlinear models

      DOI link for Parametric nonlinear models

      Parametric nonlinear models book

      ByAndrew Gelman, John B. Carlin, Hal S. Stern, David B. Dunson, Aki Vehtari, Donald B. Rubin
      BookBayesian Data Analysis

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      Edition 3rd Edition
      First Published 2013
      Imprint Chapman and Hall/CRC
      Pages 16
      eBook ISBN 9780429113079
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      ABSTRACT

      The linear regression approach of Part IV suggests a presentation of statistical models in menu form, with a set of possible distributions for the response variable, a set of transformations to facilitate the use of those distributions, and the ability to include information in the form of linear predictors. In a generalized linear model, the expected value of y is a nonlinear function of the linear predictor: E(y|X,β) = g−1(Xβ). Robust (Chapter 17) and mixture models (Chapter 22) generalize these by adding a latent (unobserved) mixture parameter for each data point.

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