A PRACTICAL TECHNIQUE FOR ESTIMATING GENERAL REGRESSION SURFACES

Abstract

Let X be a p component random vector variable with transpose X' is identically equal to (X sub 1,..., X sub j,..., X sub p) and Y be a one- dimensional random variable with a joint continuous distribution of density f(x, y). The regression of Y given X = x is E(Y such that X = x) = ((the integral from minus infinity to plus infinity of yf(x,y)dy) divided by (the integral from minus infinity to plus infinity of f(x,y)dy)). Using consistent nonparametric estimators of the densities, E(Y such that X = x) can be approximated by a ratio of two general polynomials where the coefficients of the polynomials are computed as a function of the observed sample.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1968
Accession Number
AD0672505

Entities

People

  • Donald F. Specht

Organizations

  • Lockheed Martin Missiles and Space

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Computations
  • Covariance
  • Data Science
  • Databases
  • Equations
  • Errors
  • Estimators
  • Information Science
  • Pattern Recognition
  • Polynomials
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Statistical Algorithms

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Statistical inference.