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f-dissimilarity: A generalization of the affinity of several distributions

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References

  1. Ali, S. M. and Silvey, S. D. (1966). A general class of coefficients of divergence of one distribution from another.J. R. Statist. Soc., B,28, 131–142.

    MathSciNet  MATH  Google Scholar 

  2. Blackwell, D. and Girschick, M. A. (1954).Theory of Games and Statistical Decisions, John Wiley and Sons Inc.

  3. Cover, T. M. and Hart, P. E. (1967). Nearest neighbor pattern classification,IEEE Trans. Inf. Theory, IT-13, 21–27.

    Article  Google Scholar 

  4. Csiszár, I. (1967). Information-type measures of divergence of probability distributions and indirect observation,Studia Sci. Math. Hung.,2, 299–318.

    MATH  Google Scholar 

  5. Györfi, L. and Nemetz, T. (1975). On the dissimilarity of probability measures,Technical Report, Math. Inst. of Hungarian Acad. of Sci.

  6. Györfi, L. and Nemetz, T. (1977).f-dissimilarity: a general class of separation measures of several probability distributions,Topics in Information Theory, Ed. I. Csiszar, P. Elias, North-Holland, 309–321.

  7. Ito, T. (1974). Approximate bounds of misrecognition and their computational evaluation,Proc. of the Second International Joint Conference on Pattern Recognition, Copenhagen.

  8. Matusita, K. (1969). The notion of affinity of several distribution,Ann. Inst. Statist. Math.,19, 181–192.

    Article  Google Scholar 

  9. Matusita, K. (1971). Some properties of affinity and application,Ann. Inst. Statist. Math.,23, 137–155.

    Article  MathSciNet  Google Scholar 

  10. Matusita, K. (1973). Discrimination and the affinity of distributions, inDiscriminant Analysis and Applications, Academic Press, New York, 213–223.

    Chapter  Google Scholar 

  11. Toussaint, G. T. (1972). Feature evaluation criteria and contextual decoding algorithms in statistical pattern recognition, Ph. D. thesis, Dept. of Elect. Engineering, University of British Columbia.

  12. Toussaint, G. T. (1974). Some properties of Matusita's measure of affinity of several distributions,Ann. Inst. Statist. Math.,26, 389–394.

    Article  MathSciNet  Google Scholar 

  13. Loève, M. (1960).Probability Theory, D. van Nostrand, Princeton.

    MATH  Google Scholar 

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Györfi, L., Nemetz, T. f-dissimilarity: A generalization of the affinity of several distributions. Ann Inst Stat Math 30, 105–113 (1978). https://doi.org/10.1007/BF02480206

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