Consistent Directions of the Least Squares Estimators in Linear Models.

Abstract

The consistent directions of the least squares estimators in a linear model are defined to be the linear combinations of parameter estimates that are asympotically consistent. When the design variable is univariate and the regression function is smooth, consistent directions are characterized in previous papers (Wu, 1980; Wu and Wang, 1982) in terms of the convergence rates of the design sequence to its limit points. Extension of these results to multivariate design variables are considered in the present paper.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1982
Accession Number
ADA120992

Entities

People

  • C. F. Jeff Wu
  • Song-gui Wang

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Consistency
  • Continents
  • Contracts
  • Convergence
  • Estimators
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • North Carolina
  • Polynomials
  • Probability
  • Sequences
  • Statistical Analysis
  • Statistics
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Statistical inference.