
Accession Number : ADA134518
Title : Estimation of Posterior Probabilities Using Multivariate Smoothing Splines and Generalized CrossValidation.
Descriptive Note : Technical rept.,
Corporate Author : WISCONSIN UNIVMADISON 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