Multivariable Problems of Statistics and Information Theory

Abstract

During the year 1982-83, a great deal of work, both in quantity and quality, in volume as well as in depth, was accomplished. Three papers were written and two more were revised. Besides these five papers, there is one half-written paper which was presented at the Nashville meetings of the Institute of Mathematical Statistics in March, 1983. Its title is, On the probability of correct search for search designs of resolution 2l +1, plus one I. The two papers, recently revised on the lines suggested by referees, are entitled, On a decision rule using dichotomies for identifying the nonnegligible parameter in certain linear models. joint with Mallenby, and Theory of symmetrical factorial designs of the parallel flats type I. The coefficient matrix, joint with Anderson and Mardekian, respectively. The first of these concerns a unique decision rule for identifying a single nonnegligible parameter, which achieves the lower information-theoretic bound on the number of observations. The second one constitutes a very major development in the theory of experimental design, and connects this field with the theory of cyclotomic fields, and Galois Theory.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 10, 1983
Accession Number
ADA214630

Entities

People

  • Jaya Srivastava

Organizations

  • Colorado State University

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Abstracts
  • Classification
  • Coefficients
  • Colorado
  • Data Science
  • Experimental Design
  • Factorial Design
  • Information Science
  • Information Theory
  • Observation
  • Probability
  • Security
  • Statistics
  • Universities

Fields of Study

  • Mathematics

Readers

  • Academic Conference Management
  • Regression Analysis.
  • Technical Research and Report Writing.