Asymptotic properties of Lee distance

Nikolay I. Nikolov () and Eugenia Stoimenova ()
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Nikolay I. Nikolov: Bulgarian Academy of Sciences
Eugenia Stoimenova: Bulgarian Academy of Sciences

Metrika: International Journal for Theoretical and Applied Statistics, 2019, vol. 82, issue 3, No 5, 385-408

Abstract: 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.

Keywords: Lee distance; Rank data; Distance-based models; Marginals model; Asymptotic distribution (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00184-018-0687-7

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