OPTIMAL EXPERIMENTAL DESIGNS.

Abstract

This paper presents a number of results concerning the theory of the optimal design of experiments initiated and principal developed by Elfving, Kiefer and Wolfowitz. The paper contains approximately half expository and half new material. The proofs are mostly new and presented in a unified manner. The paper contains material on the estimation of linear functions of the regression parameters, extrapolation, minimax estimation, admissible designs and some quadratic loss problems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1965
Accession Number
AD0623216

Entities

People

  • Samuel Karlin
  • William J. Studden

Organizations

  • Purdue University

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Contracts
  • Cooperation
  • Data Science
  • Experimental Design
  • Extrapolation
  • Information Science
  • Interdisciplinary Science
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Statistical Analysis
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Regression Analysis.
  • Theoretical Analysis.