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

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.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1983
Accession Number
ADA134518

Entities

People

  • Miguel Agustin Villalobos

Organizations

  • University of Wisconsin Madison Department of Statistics

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Computational Science
  • Computations
  • Computer Programming
  • Computer Programs
  • Convex Sets
  • Discriminant Analysis
  • Estimators
  • Floating Point Operations
  • Functional Analysis
  • Hilbert Space
  • Mathematical Programming
  • Military Research
  • Probability
  • Probability Distributions
  • Random Variables
  • Statistical Algorithms

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Regression Analysis.
  • Systems Analysis and Design

Technology Areas

  • Space