On the dependence structure of order statistics and concomitants of order statistics

DOI10.1016/0378-3758(90)90055-YzbMath0698.62050MaRDI QIDQ912535

N. E. Zubov

Publication date: 1990

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

zbMATH Keywords

order statisticsdecreasing failure rateassociated random variablesdependence structureincreasing failure ratenegatively dependentconcomitantscovariance of two order statisticsmultivariate totally positive of order 2

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30)

Related Items

Some results on normalized spacings from restricted families of distributions, Moments of variables summing to gamma order statistics, Lorenz ordering of order statistics, The conditional spacings and their stochastic properties, TP₂ DEPENDENCE OF SAMPLE SPACINGS WITH APPLICATIONS, Dependence properties of order statistics, On conditional spacings and their properties under coherent system setting, Stochastic comparisons of order statistics and spacings: a review, Dependence Structure of Spacings of Order Statistics, Concomitants in a Sequence of Independent Nonidentically Distributed Random Vectors, More on stochastic comparisons and dependence among concomitants of order statistics, On the dependence structure of order statistics, Negative dependence in the balls and bins experiment with applications to order statistics, Multivariate order statistics via multivariate concomitants, Multivariate dependence of spacings of generalized order statistics, Tail dependence between order statistics, Stochastic comparisons and dependence among concomitants of order statistics, Asymptotic normality of two-sample linear rank statistics under association, On the stochastic and dependence properties of the three-state systems

Cites Work

• Two remarks on order statistics
• Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions
• A Problem of Berkson, and Minimum Variance Orderly Estimators
• Inequalities: theory of majorization and its applications
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