Accession Number : AD0727794

Title :   On Statistical Information Theory and Related Measures of Information,

Corporate Author : IOWA STATE UNIV AMES

Personal Author(s) : Papaioannou,P. C. ; Kempthorne,O.

Report Date : MAR 1971

Pagination or Media Count : 138

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)

Descriptors :   (*STATISTICAL ANALYSIS, INFORMATION THEORY), STATISTICAL DISTRIBUTIONS, MEASURE THEORY, PROBABILITY, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE