Multivariate order statistics via multivariate concomitants

DOI10.1016/j.jmva.2008.09.011zbMath1167.62046OpenAlexW2051494811MaRDI QIDQ1006674

José María Sarabia, Barry C. Arnold, Enrique F. Castillo

Publication date: 25 March 2009

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2008.09.011

zbMATH Keywords

generalized order statisticsprogressive censoring\(N\)-conditional orderingJones constructionsnorm ordering

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Order statistics; empirical distribution functions (62G30) Probability distributions: general theory (60E05)

Related Items (10)

Multivariate Order Statistics Induced by Ordering Linear Combinations of Components of Multivariate Elliptical Random Vectors ⋮ On the records of multivariate random sequences ⋮ Bivariate and multivariate distributions with bimodal marginals ⋮ Limit theorems for univariate and bivariate order statistics with variable ranks ⋮ Functionals of order statistics and their multivariate concomitants with application to semiparametric estimation by nearest neighbours ⋮ On multivariate selection scale-mixtures of normal distributions ⋮ Order statistics with multivariate concomitants: stochastic comparisons ⋮ Asymptotic behavior of the maximum of multivariate order statistics in a norm sense ⋮ More on progressively Type-II censored order statistics for multivariate observations ⋮ A new type of multivariate records: depth-based records

Cites Work

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• Multivariate normal distribution and multivariate order statistics induced by ordering linear combinations
• Families of distributions arising from distributions of order statistics
• On the dependence structure of order statistics and concomitants of order statistics
• Approximate distributions of order statistics. With applications to nonparametric statistics
• On conditional distributions of nearest neighbors
• Progressive type II censored order statistics for multivariate observations

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