On a Unified Theory of Estimation in Linear Models

Abstract

In a series of papers the author developed two approaches towards a unified treatment of the General Gauss-Markoff (GGM) linear model (Y, X beta, sigma squared V) where V, the dispersion matrix of Y, may be singular and X may be deficient in rank. One is called the inverse partition (IPM) method which depends on the numerical evaluation of a g-inverse of a partitioned matrix. Another is an analogue of least square theory and is called unified least square (ULS) method. The aim of the paper is to bring out the salient features of these two methods and to point out some interesting features of linear unbiased estimation when the dispersion matrix of the observations is singular.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1973
Accession Number
AD0763404

Entities

People

  • Calyampudi Radhakrishna Rao

Organizations

  • Purdue University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Computations
  • Decomposition
  • Dispersions
  • Eigenvectors
  • Equations
  • Estimators
  • Hypotheses
  • Least Squares Method
  • Military Research
  • Probability
  • Random Variables
  • Stationary
  • Statistics
  • Theorems
  • United States Government
  • Universities
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Linear Algebra
  • Regression Analysis.