On Statistical Information Theory and Related Measures of Information,

Abstract

The report presents a small sample statistical information theory based on three measures of information. It provides also an answer to the problem of constructing functional measures of information covering non-regular distributions. Chapter 2 discusses the concept of statistical information. The Fisherian information measure is examined in the scalar and vector parameter cases in Chapter 3. The modified Kullback-Leibler functional measure of information and the generalized Bhattacharyya functional measure are discussed in Chapter 4. A few considerations on certain pathological families of distributions along with a discussion on the question of additivity of information are given in Chapter 5. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1971
Accession Number
AD0727794

Entities

People

  • O. Kempthorne
  • P. C. Papaioannou

Organizations

  • Iowa State University

Tags

DTIC Thesaurus Topics

  • Coverings
  • Electrical Engineering
  • Information Theory

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Regression Analysis.
  • Statistical inference.