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Asymptotic properties of Lee distance

Author

Listed:
  • Nikolay I. Nikolov

    (Bulgarian Academy of Sciences)

  • Eugenia Stoimenova

    (Bulgarian Academy of Sciences)

Abstract

Distances on permutations are often convenient tools for analyzing and modeling rank data. They measure the closeness between two rankings and can be very useful and informative for revealing the main structure and features of the data. In this paper, some statistical properties of the Lee distance are studied. Asymptotic results for the random variable induced by Lee distance are derived and used to compare the Distance-based probability model and the Marginals model for complete rankings. Three rank datasets are analyzed as an illustration of the presented models.

Suggested Citation

  • Nikolay I. Nikolov & Eugenia Stoimenova, 2019. "Asymptotic properties of Lee distance," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(3), pages 385-408, April.
    • Handle: RePEc:spr:metrik:v:82:y:2019:i:3:d:10.1007_s00184-018-0687-7
    DOI: 10.1007/s00184-018-0687-7
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    Cited by:

    1. Kateri, Maria & Nikolov, Nikolay I., 2022. "A generalized Mallows model based on ϕ-divergence measures," Journal of Multivariate Analysis, Elsevier, vol. 190(C).
    2. Nikolay I. Nikolov & Eugenia Stoimenova, 2020. "Mallows’ models for imperfect ranking in ranked set sampling," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 104(3), pages 459-484, September.

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