Nonstochastic Techniques for Selecting Ridge Parameter Values.

Abstract

Biased regression estimators are increasingly being utilized as alternatives to least square parameter estimators in multiple linear regression when the predictor variables are multicollinear. One popular biased estimator is the ridge regression estimator. Ridge estimators are known to have smaller mean squared errors than least squares for suitably small nonstochastic choices of the ridge parameter. To date, however, most of the practical applications of ridge regression employ stochastic techniques to select the ridge parameter. In this paper we examine three non stochastic procedures for choosing ridge parameters and compare their performance with another stochastic method. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1978
Accession Number
ADA064838

Entities

People

  • Richard F. Gunst
  • Tsushung A. Hua

Organizations

  • Southern Methodist University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Air Pollution
  • Data Science
  • Data Sets
  • Errors
  • Estimators
  • Information Science
  • Mathematics
  • Orientation (Direction)
  • Random Variables
  • Regression Analysis
  • Scientific Research
  • Simulations
  • Statistical Algorithms
  • Statistical Analysis
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.