Information theory and statistics /
Solomon Kullback.
- Mineola, New York : Dover Publications, 1997.
- xv, 399 p. : ill. ; 22 cm.
- Dover books on mathematics .
"An unabridged republication of the Dover 1968 edition which was an unabridged republication of the work originally published in 1959 by John Wiley & Sons, New York, with a new preface and corrections and additions by the author"--T.p. verso.
Includes bibliographical references (p. 353-365) and index.
1. Definition of information -- 2. Properties of information -- 3. Inequalities of information theory -- 4. Limiting properties -- 5. Information statistics -- 6. Multinomial populations -- 7. Poisson population -- 8. Contingency tables -- 9. Multivariate normal populations -- 10. The linear hypthesis -- 11. Multivariate analysis -- 12. other hyptheses -- 13. Linear discriminant functions.
Highly useful text studies the logarithmic measures of information and their application to testing statistical hypotheses. Topics include introduction and definition of measures of information, their relationship to Fisher's information measure and sufficiency, fundamental inequalities of information theory, much more. Numerous worked examples and problems. References. Glossary. Appendix. 1968 2nd, revised edition.