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Concerning a class of similarity tests

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Abstract

A two-parameter generalization of Jaccard's index of similarity is proposed as a class of measures for testing the homogeneity of two independent multinomial samples. The power approach used in modern asymptotic theory of decomposable statistics is applied to the asymptotic analysis of these measures. The asymptotic analysis is amplified by numerical tabulation yielding an asymptotically optimal similarity test in this class of measures.

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References

  1. P. Jaccard, “Nouvelles rechérches sur la distribution florale,”Bull. Soc. Vandoise des Sc. Nat.,144, 223–270 (1908).

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Authors and Affiliations

  1. Moscow Institute of Electronics and Mathematics, USSR

    G. I. Ivchenko, O. V. Polepchuk & S. A. Khonov

Authors
  1. G. I. Ivchenko
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  2. O. V. Polepchuk
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  3. S. A. Khonov
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Additional information

Translated fromMatematicheskie Zametki, Vol. 58, No. 4, pp. 536–546, October, 1995.

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Ivchenko, G.I., Polepchuk, O.V. & Khonov, S.A. Concerning a class of similarity tests. Math Notes 58, 1049–1056 (1995). https://doi.org/10.1007/BF02305093

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  • DOI: https://doi.org/10.1007/BF02305093

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