Metrics on permutations useful for positive dependence

DOI10.1016/S0378-3758(96)00190-5zbMath0917.62046OpenAlexW2009777661WikidataQ127884024 ScholiaQ127884024MaRDI QIDQ1367675

Allan R. Sampson, Devendra Chhetry, Henry W. Block, Zhaoben Fang

Publication date: 30 June 1999

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(96)00190-5

zbMATH Keywords

permutationsrankstranspositioninvariant metricpartial orderingmore associatedmore concordantCayley distance

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Foundations and philosophical topics in statistics (62A01) Permutation groups (20B99)

Related Items (2)

A Decomposition of Copulas and Its Use ⋮ Some simple nonparametric methods to test for perfect ranking in ranked set sampling

Cites Work

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• Partial orders on permutations and dependence orderings on bivariate empirical distributions
• Metric methods for analyzing partially ranked data
• An ordering for positive dependence
• Inequalities for distributions with given marginals
• Some new partial orderings on \(S_ n\) and \(S_ n \times{}S_ n\)
• On rank statistics: An approach via metrics on the permutation group
• Partial orderings of permutations and monotonicity of a rank correlation statistic
• Principles of combinatorics
• Some Concepts of Dependence

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