Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Optimal Designs for Multivariate Nonparametric Kernel Regression with Binary Data

  • Published : 1995.12.01
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Abstract

The problem of optimal design for a nonparametric regression with binary data is considered. The aim of the statistical analysis is the estimation of a quantal response surface in two dimensions. Bias, variance and IMSE of kernel estimates are derived. The optimal design density with respect to asymptotic IMSE is constructed.

Keywords

References

  1. Statistics and Probability Letters v.2 Optimal Designs for Nonparametric Kernel Regression Muller,H.
  2. Journal of American Statistical Association v.83 Kernel and Probit Estimates in Quantal Bioassay Muller,H.;Schmidt,T.
  3. Ph.D.dissertation Sequential Design for Nonparametric Regression with Binary Data Park,D.