Confidence Bounds for the Linear Model of Less than the Full Rank with an Introduction to G-Inverses

Abstract

This paper explains the use of Scheffe's theorem on simultaneous confidence bounds in the context of linear hypothesis model of less than the full rank. In paving the background, some results on the uniqueness of estimates in the theory of singular designs are brought together in a compact form in this report with a brief explanatory introduction to the solution of linear equations as related to the computation of a g-inverse.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1980
Accession Number
ADA086094

Entities

People

  • Kali S. Banerjee

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Advanced Electronics
  • Autonomy
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Army Aviation
  • Coefficients
  • Continents
  • Contrast
  • Data Science
  • Equations
  • Experimental Design
  • Identities
  • Information Science
  • Intervals
  • Maximum Likelihood Estimation
  • Observation
  • Polynomials
  • Probability
  • Random Variables
  • Security

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Regression Analysis.
  • Systems Analysis and Design