Asymptotic properties of Lee distance
| Autor: | Eugenia Stoimenova, Nikolay Nikolov |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Discrete mathematics Rank (linear algebra) Closeness Structure (category theory) 010103 numerical & computational mathematics Lee distance 01 natural sciences Measure (mathematics) Probability model 010104 statistics & probability 0101 mathematics Statistics Probability and Uncertainty Random variable Mathematics |
| Zdroj: | Metrika. 82:385-408 |
| ISSN: | 1435-926X 0026-1335 |
| DOI: | 10.1007/s00184-018-0687-7 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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