Stochastic comparisons of order statistics and their concomitants

DOI10.1016/j.jmva.2013.10.013zbMath1282.60022OpenAlexW2094253758MaRDI QIDQ392057

Baha-Eldin Khaledi, Ismihan Bayramoglu (Bairamov), Shaked, Moshe

Publication date: 13 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.jmva.2013.10.013

zbMATH Keywords

total positivitystochastic monotonicity\(r\)-out-of-\(n\) systemsmultivariate hazard rate ordermultivariate likelihood ratio ordermultivariate ordinary stochastic orderpositive quadrant dependence

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Reliability, availability, maintenance, inspection in operations research (90B25) Reliability and life testing (62N05)

Related Items (2)

The \((n-k+1)\)-out-of-\(n\) concomitant system having \(m\) subcomponents and its reliability ⋮ Order statistics with multivariate concomitants: stochastic comparisons

Uses Software

• Linkages

Cites Work

• Majorization bounds for distribution functions
• More on stochastic comparisons and dependence among concomitants of order statistics
• Numbers of near bivariate record-concomitant observations
• An introduction to copulas.
• Stochastic orders
• Concomitants of order statistics for dependent samples
• Stochastic comparisons of multivariate mixture models
• Total positivity properties of absolute value multinormal variables with applications to confidence interval estimates and related probabilistic inequalities
• A general composition theorem and its applications to certain partial orderings of distributions
• Stochastic comparisons and dependence among concomitants of order statistics
• Linkages: A tool for the construction of multivariate distributions with given nonoverlapping multivariate marginals
• Fisher Information in Record Values and Their Concomitants: A Comparison of Two Sampling Schemes
• Some Concepts of Dependence
• Concomitants in a Sequence of Independent Nonidentically Distributed Random Vectors
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