The quarter median
| Autor: | Ludwig Baringhaus, Rudolf Grübel |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Statistics and Probability
Pure mathematics Multivariate statistics Property (philosophy) Asymptotic distribution Mathematics - Statistics Theory Statistics Theory (math.ST) Quarter (United States coin) Orthogonal basis 62H12 62H11 62F35 Hyperplane FOS: Mathematics Pairwise comparison Statistics Probability and Uncertainty Equipartition theorem Mathematics |
| Zdroj: | Metrika. 85:419-458 |
| ISSN: | 1435-926X 0026-1335 |
| DOI: | 10.1007/s00184-021-00836-z |
| Popis: | We introduce and discuss a multivariate version of the classical median that is based on an equipartition property with respect to quarter spaces. These arise as pairwise intersections of the half-spaces associated with the coordinate hyperplanes of an orthogonal basis. We obtain results on existence, equivariance, and asymptotic normality. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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