Note on generalized information function
Pl. Kannappan
Source: Tohoku Math. J. (2) Volume 30, Number 2
(1978), 251-255.
First Page:
Show
Hide
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.tmj/1178230028
Mathematical Reviews number (MathSciNet): MR0499181
Zentralblatt MATH identifier: 0384.39003
Digital Object Identifier: doi:10.2748/tmj/1178230028
References
[1] Z. DAROCZY, Generalized information functions, Information and Control, 16 (1970), 36-51.
Mathematical Reviews (MathSciNet): MR272528
Zentralblatt MATH: 0205.46901
[2] J. HAVRDA AND F. CHARVAT, Quantification method of classificationprocesses, the concep of structural -entropy, Kybernetika, 3 (1967), 30-35.
Mathematical Reviews (MathSciNet): MR209067
Zentralblatt MATH: 0178.22401
[3] PL. KANNAPPAN AND P. N. RATHIE, On generalized information function, Thoku Math Journ., 27 (1975), 207-212.
Mathematical Reviews (MathSciNet): MR397223
Zentralblatt MATH: 0333.94008
Digital Object Identifier: doi:10.2748/tmj/1178240987
Project Euclid: euclid.tmj/1178240987
[4] D. G. KENDALL, Functional equations in information theory, Z. Wahrs. verw. Geb., (1964), 225-229.
Mathematical Reviews (MathSciNet): MR165990
Zentralblatt MATH: 0227.94009
Digital Object Identifier: doi:10.1007/BF00533380
[5] D. F. KERRIDGE, Inaccuracy and inference, J. Roy. Statist. Soc. B 23 (1961), 184-194
[6] S. KULLBACK, Information theory and statistics, John Wiley and Sons, New Yor (1959).
Mathematical Reviews (MathSciNet): MR103557
Zentralblatt MATH: 0088.10406
[7] P. M. LEE, On the axioms of information theory, Ann. Math. Statist. 35 (1964), 415-418
Mathematical Reviews (MathSciNet): MR158767
Zentralblatt MATH: 0124.11307
Digital Object Identifier: doi:10.1214/aoms/1177703765
Project Euclid: euclid.aoms/1177703765
[8] P. N. RATHIE AND PL. KANNAPPAN, On a functional equation connected with Shannon' entropy, Funk. Ekvacioj, 14 (1971), 153-159.
Mathematical Reviews (MathSciNet): MR363674
Zentralblatt MATH: 0237.39007
[9] P. N. RATHIE AND PL. KANNAPPAN, A directed divergence function of type, Informatio and Control, 20 (1972), 38-45.
Mathematical Reviews (MathSciNet): MR414234
Zentralblatt MATH: 0231.94015
[10] P. N. RATHIE AND PL. KANNAPPAN, An inaccuracy function of type, Ann. Inst. Statist Math., 25 (1973), 205-214.
Mathematical Reviews (MathSciNet): MR335158
Zentralblatt MATH: 0338.94016
Digital Object Identifier: doi:10.1007/BF02479370
[11] C. E. SHANNON, A Mathematical theory of communications, Bell System Tech. J., 2 (1948), 378-423 and 623-656.
Mathematical Reviews (MathSciNet): MR26286
[12] H. TVERBERG, A new derivation of the information function, Math. Scand., 6 (1958), 297-298.
Mathematical Reviews (MathSciNet): MR104941
Zentralblatt MATH: 0089.13401
[13] PL. KANNAPPAN AND C. T. NG, Measurable solutions of functional equations related t information theory, Proc. Amer. Math. Soc., 38 (1973), 303-310.
Mathematical Reviews (MathSciNet): MR312110
Zentralblatt MATH: 0262.94019
Digital Object Identifier: doi:10.2307/2039281
Tohoku Mathematical Journal
