Accession Number : ADA134518

Title :   Estimation of Posterior Probabilities Using Multivariate Smoothing Splines and Generalized Cross-Validation.

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV-MADISON DEPT OF STATISTICS

Personal Author(s) : Villalobos,Miguel Agustin

PDF Url : ADA134518

Report Date : Sep 1983

Pagination or Media Count : 156

Abstract : A nonparametric estimate for the posterior probabilities in the classification problem using multivariate smoothing splines is proposed. This estimate presents a nonparametric alternative to logistic discrimination and to survival curve estimation. It is useful in exploring properties of the data and in presenting them in a way comprehensible to the layman. The estimate is obtained as the solution to a constrained minimization problem in a reproducing kernel Hilbert space. It is shown that under certain conditions an estimate exists and is unique.

Descriptors :   *Nonparametric statistics, *Estimates, *Splines, *Subroutines, Classification, Multivariate analysis, Hilbert space, Solutions(General), Monte Carlo method, Computations, Algorithms, Probability

Subject Categories : Statistics and Probability
      Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE