Inference on Parameters in a Linear Model a Review of Recent Results.

Abstract

This paper, in three parts, is a review of recent results on inference on parameters in a linear model. In the first part, the Gauss-Markoff theory is extended to the case when the dispersion matrix of the observable random vector is singular. In the second, robustness of inference procedures for departures in the design matrix, the dispersion matrix and distributional assumptions about the error components is considered. Finally, the third part introduces concepts of linear sufficiency and completeness in linear models, without making any distributional assumptions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1983
Accession Number
ADA127486

Entities

People

  • Bimal Kumar Sinha
  • Calyampudi Radhakrishna Rao
  • Jochen Muller

Organizations

  • University of Pittsburgh

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Classification
  • Covariance
  • Data Science
  • Dispersions
  • Estimators
  • Information Science
  • Multivariate Analysis
  • New York
  • Normality
  • Numbers
  • Optimal Estimators
  • Scientific Research
  • Security
  • Statistical Algorithms
  • Statistical Inference
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Regression Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms