Asymptotic properties of Lee distance

• DOI: 10.1007/s00184-018-0687-7
• Publication Date: 2018-09-29T12:18:14Z
• Authors: Nikolay I. Nikolov; Eugenia Stoimenova
• Keywords: 0101 mathematics; 01 natural sciences

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.