STOCHASTIC COMPARISONS OF GENERALIZED ORDER STATISTICS

DOI10.1017/S0269964805050072zbMath1067.62050MaRDI QIDQ4673903

José-Angel Mercader, José-María Ruiz, Felix Belzunce

Publication date: 9 May 2005

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Survival analysis and censored data (62N99) Stochastic processes (60G99)

Related Items (48)

Multivariate aging properties of epoch times of nonhomogeneous processes ⋮ Inference in a model of successive failures with shape-adjusted hazard rates ⋮ Stochastic monotonicity of the MLE of exponential mean under different censoring schemes ⋮ FURTHER RESULTS ON QUANTILE ENTROPY IN THE PAST LIFETIME ⋮ On sufficient conditions for mean residual life and related orders ⋮ Stochastic comparisons and properties of conditional generalized order statistics ⋮ On the comparison of relative spacings with applications ⋮ On dispersive and star orderings of random variables and order statistics ⋮ Multivariate testing and model-checking for generalized order statistics with applications ⋮ Some new results on likelihood ratio ordering and aging properties of generalized order statistics ⋮ Distances between models of generalized order statistics ⋮ Some results for the comparison of generalized order statistics in the total time on test and excess wealth orders ⋮ Likelihood ratio comparisons and logconvexity properties ofp-spacings from generalized order statistics ⋮ Some stochastic comparisons of lower records and lower record spacings ⋮ HR and RHR orderings of generalized order statistics ⋮ Trend-transformed independent vectors: construction and stochastic comparison results ⋮ CONDITIONAL ORDERING OF GENERALIZED ORDER STATISTICS REVISITED ⋮ Stochastic comparisons of spacings of record values from one or two sample sequences ⋮ Conditionally stochastic domination of generalized order statistics from two samples ⋮ Stochastic monotonicity of MLEs of the mean for exponentially distributed lifetimes under hybrid censoring ⋮ Some comparisons between generalized order statistics ⋮ Order restricted inference for sequential \(k\)-out-of-\(n\) systems ⋮ Coherent systems based on sequential order statistics ⋮ ON STOCHASTIC AND AGING PROPERTIES OF GENERALIZED ORDER STATISTICS ⋮ On stochastic orderings between residual record values ⋮ Further results on the residual quantile entropy ⋮ On multivariate dispersion orderings based on the standard construction ⋮ On optimality of extremal schemes in progressive type II censoring ⋮ Some properties of the residual lifetime of progressively type-II right censored order statistics ⋮ Stochastic properties of INID progressive type-II censored order statistics ⋮ UNIVARIATE AND MULTIVARIATE LIKELIHOOD RATIO ORDERING OF GENERALIZED ORDER STATISTICS AND ASSOCIATED CONDITIONAL VARIABLES ⋮ Some new results on multivariate dispersive ordering of generalized order statistics ⋮ A note on stochastic comparisons of generalized order statistics ⋮ Linear Estimators and Predictors Based on Generalized Order Statistics from Generalized Pareto Distributions ⋮ Univariate and multivariate stochastic comparisons and ageing properties of the generalized Pólya process ⋮ Likelihood ratio order of \(m\)-spacings for two samples ⋮ ORDERING p-SPACINGS OF GENERALIZED ORDER STATISTICS REVISITED ⋮ Stochastic comparisons and multivariate dependence for the epoch times of trend renewal processes ⋮ On sufficient conditions for the comparison in the excess wealth order and spacings ⋮ Stochastic comparison and monotonicity of inactive record values ⋮ Multivariate Excess Wealth Ordering of Generalized Order Statistics ⋮ A multivariate IFR notion based on the multivariate dispersive ordering ⋮ Multivariate dependence of spacings of generalized order statistics ⋮ Multivariate dispersive ordering of spacings of generalized order statistics ⋮ Increasing directionally convex orderings of random vectors having the same copula, and their use in comparing ordered data ⋮ REVISITING MULTIVARIATE LIKELIHOOD RATIO ORDERING RESULTS FOR ORDER STATISTICS ⋮ Multivariate Comparisons of Ordered Data ⋮ Stochastic ordering of medians in samples from normal distributions

Cites Work

• Dispersive ordering and the total time on test transformation
• Multivariate properties of random vectors of order statistics
• Marginal distributions of sequential and generalized order statistics
• The hazard rate and the reversed hazard rate orders, with applications to order statistics
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• The s-convex orders among real random variables, with applications
• STOCHASTIC ORDERINGS BETWEEN SPACINGS OF GENERALIZED ORDER STATISTICS
• Multivariate dispersive ordering of epoch times of nonhomogeneous Poisson processes
• Reliability properties of record values from non-identically distributed random variables
• Comparison of replacement policies via point processes
• Stochastic comparisons of order statistics under multivariate imperfect repair
• Preservation of some likelihood ratio stochastic orders by order statistics
• Stochastic comparisons of spacings from restricted families of distributions
• Stochastic comparisons of mixtures of convexly ordered distributions with applications in reliability theory

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