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Continuity and characterization of Shannon-Wiener information measure for continuous probability distributions

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References

  1. Shannon, C. E., “A mathematical theory of communication,”Bell System Tech. Jour., Vol. 27 (1948).

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  3. Shannon, C. E., and Weaver, W.,The Mathematical Theory of Communication, Univ. of Illinois Press, Urbana, 1949.

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  4. Khinchin, A. I., “The entropy concept in probability theory,”Uspekhi Matematicheskikh Nauk, Vol. 8 (1955), (in Russian).

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Authors and Affiliations

  1. Dept. of Matm., School of Sci. and Eng., Nihon University, Japan

    Sadao Ikeda

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  1. Sadao Ikeda
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The author expresses his thanks to Mr. Masashi Okamoto for his valuable advices.

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Ikeda, S. Continuity and characterization of Shannon-Wiener information measure for continuous probability distributions. Ann Inst Stat Math 11, 131–144 (1959). https://doi.org/10.1007/BF01737401

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  • DOI: https://doi.org/10.1007/BF01737401

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