Proceedings of the Japan Academy, Series A, Mathematical Sciences

Information and statistics, I

Yukiyosi Kawada

Full-text: Open access

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 63, Number 7 (1987), 281-284.

Dates
First available in Project Euclid: 19 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195513654

Digital Object Identifier
doi:10.3792/pjaa.63.281

Mathematical Reviews number (MathSciNet)
MR931265

Zentralblatt MATH identifier
0656.62011

Subjects
Primary: 94A17: Measures of information, entropy
Secondary: 62B10: Information-theoretic topics [See also 94A17]

Citation

Kawada, Yukiyosi. Information and statistics, I. Proc. Japan Acad. Ser. A Math. Sci. 63 (1987), no. 7, 281--284. doi:10.3792/pjaa.63.281. https://projecteuclid.org/euclid.pja/1195513654


Export citation

References

  • [1] H. Akaike: Information theory and an extension of the maximum likelihood principle. 2nd Internat. Symp. on Information Theory, Akademiai Kiado, Budapest, pp. 267-281 (1973).
  • [2] H. Akaike: A new look at the statistical model identification. IFEE Trans. Automatic Control, AC-19, pp. 716-723 (1974).
  • [3] S. M. Ali and S. D. Silvey: A general class of divergence of one distribution from another. J. Roy. Statist. Soc, B 28, 131-142 (1966).
  • [4] I. Csizar: Information measures; a critical survey. Trans. 7th Prague Conference on Information Theory, Statistical Decision Functions, Random Processes and of the 1974 European Meeting of Statisticians, vol. B, pp. 73-86 (1978).
  • [5] S. Kakutani: On equivalence of infinite product measures. Ann. of Math., 49, 214-224 (1948).
  • [6] H. Kudo: A theorem of Kakutani on infinite product measures. Nat. Sci. Rep. Ochanomizu Univ., 3, 10-22 (1952).
  • [7] H. Kudo: Theory of time series and informations, and their applications, Chap. 2. Statistical Experiments and Their Informations. Nippon Kagaku-Gizyutu Renmei, pp. 104-124 (1953) (in Japanese).
  • [8] S. Kullback: Information Theory and Statistics, Wiley (1959).
  • [9] P. N. Rathie and P. L. Kannappan: A directed-divergence function of type j9*. Information and Control, 20, 38-45 (1972).
  • [10] A. Renyi: On measures of entropy and information. Proc. Fourth Berkeley Symposium Math. Statist, and Probability, 1, 547-561 (1961).

See also

  • Part II: Yukiyosi Kawada. Information and statistics, II. Proc. Japan Acad. Ser. A Math. Sci., Volume 63, Number 8 (1987), 307--310.