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Bayesian Analysis for Likelihood-Based Nonparametric Regression

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Abstract

In a framework of likelihood regression model, the estimator of the response function is constructed from a set of functional units. The parameters defining these functional units are estimated with the help of Bayesian approach. The sample from the Bayes posterior distribution is obtained from the MCMC procedure based on combination of Gibbs and Metropolis-Hastings algorithms. The method is described for the case of logistic regression model and for histogram and radial basis function estimators of response function.

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References

  • Arjas E.; Gasbarra D. (1993). ”Nonparametric Bayesian inference from right censored survival data, using Gibbs sampler.” Manuscript.

    Google Scholar 

  • Bernardo J.M.; Smith A.F.M. (1994). Bayesian Theory. Wiley, New York.

    Book  MATH  Google Scholar 

  • Chen S.; Cowan C.F.N.; Grant P.M. (1991). “Orthogonal least squares learning for radial basis function networks.” IEEE Trans. Neural. Networks 2, 302–309.

    Article  Google Scholar 

  • Friedman J.H. (1991). ”Multivariate adaptive regression splines.” Annals Statist. 19, 1–141.

    Article  MATH  Google Scholar 

  • Gelfand A.E.; Smith A.F.M. (1990). ”Sampling based approaches to calculating marginal densities.” J. Amer. Statist. Assoc. 85, 398–409.

    Article  MathSciNet  MATH  Google Scholar 

  • Hastie T.; Tibshirani R. (1986). ”Generalized additive models.” Statist. Science 1, 297–318.

    Article  MathSciNet  Google Scholar 

  • Volf P. (1993). ”Moving window estimation procedures for additive regression function.” Kybernetika 29, 389–400.

    MathSciNet  MATH  Google Scholar 

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© 1996 Physica-Verlag Heidelberg

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Linka, A., Picek, J., Volf, P. (1996). Bayesian Analysis for Likelihood-Based Nonparametric Regression. In: Prat, A. (eds) COMPSTAT. Physica-Verlag HD. https://doi.org/10.1007/978-3-642-46992-3_44

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  • DOI: https://doi.org/10.1007/978-3-642-46992-3_44

  • Publisher Name: Physica-Verlag HD

  • Print ISBN: 978-3-7908-0953-4

  • Online ISBN: 978-3-642-46992-3

  • eBook Packages: Springer Book Archive

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