On stochastic comparisons of maximum order statistics from the location-scale family of distributions

DOI10.1016/j.jmva.2017.06.001zbMath1381.60062OpenAlexW2621418337MaRDI QIDQ2401353

Maxim Finkelstein, Mithu Rani Kuiti, Asok K. Nanda, Nil Kamal Hazra

Publication date: 8 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.jmva.2017.06.001

zbMATH Keywords

stochastic orderslocation-scale familyparallel systemmajorization ordersSchur-convex/concave function

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30)

Related Items (28)

Some general results on usual stochastic ordering of the extreme order statistics from dependent random variables under Archimedean copula dependence ⋮ ORDERING RESULTS ON EXTREMES OF EXPONENTIATED LOCATION-SCALE MODELS ⋮ Stochastic comparisons of lifetimes of series and parallel systems with dependent and heterogeneous components ⋮ Some results on stochastic comparisons of two finite mixture models with general components ⋮ MRL ordering of largest order statistics from heterogeneous scale variables ⋮ Stochastic comparisons on extremes of burr type XII samples associated with Archimedean copula and heterogeneous shape parameters ⋮ Ordering properties of the second smallest and the second largest order statistics from a general semiparametric family of distributions ⋮ Ordering results for the smallest (largest) and the second smallest (second largest) order statistics of dependent and heterogeneous random variables ⋮ Ordering results of extreme order statistics from heterogeneous Gompertz–Makeham random variables ⋮ Ordering and aging properties of systems with dependent components governed by the Archimedean copula ⋮ Ordering results of the smallest order statistics from independent heterogeneous new modified generalized linear failure rate random variables ⋮ Ordering extremes of exponentiated location-scale models with dependent and heterogeneous random samples ⋮ Stochastic comparisons of parallel and series systems with heterogeneous resilience-scaled components ⋮ Unnamed Item ⋮ Hazard rate and reversed hazard rate orders on extremes of heterogeneous and dependent random variables ⋮ On relative ageing of coherent systems with dependent identically distributed components ⋮ Orderings of the smallest claim amounts from exponentiated location-scale models ⋮ On stochastic comparisons of minimum order statistics from the location-scale family of distributions ⋮ On stochastic comparisons of finite mixtures for some semiparametric families of distributions ⋮ On stochastic comparisons of series systems with heterogeneous dependent and independent location-scale family distributed components ⋮ Some ordering results for the Marshall and Olkin's family of distributions ⋮ Reliability study of series and parallel systems of heterogeneous component lifetimes following proportional odds model ⋮ Comparing lifetimes of coherent systems with dependent components operating in random environments ⋮ Stochastic comparisons of series systems with independent heterogeneous Lomax-exponential components ⋮ Stochastic orderings of multivariate elliptical distributions ⋮ Stochastic comparisons of the smallest and largest claim amounts with location-scale claim severities ⋮ Stochastic comparisons of parallel systems with starting devices ⋮ Stochastic comparisons of parallel systems with heterogeneous exponentiated half logistic-F components

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