STOCHASTIC COMPARISONS OF LARGEST ORDER STATISTICS FROM MULTIPLE-OUTLIER EXPONENTIAL MODELS

DOI10.1017/S0269964811000313zbMath1275.62046OpenAlexW2149375959MaRDI QIDQ2909822

Peng Zhao, Narayanaswamy Balakrishnan

Publication date: 6 September 2012

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

Full work available at URL: https://doi.org/10.1017/s0269964811000313

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)

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Related Items (26)

Ordering properties of order statistics from heterogeneous exponentiated Weibull models ⋮ On likelihood ratio ordering of parallel systems with exponential components ⋮ Exponentiated models preserve stochastic orderings of parallel and series systems ⋮ Ordering results for series and parallel systems comprising heterogeneous exponentiated Weibull components ⋮ On stochastic comparisons of maximum order statistics from the location-scale family of distributions ⋮ On stochastic comparisons of coherent systems with two different types of components ⋮ Relative ageing of series and parallel systems: effects of dependence and heterogeneity among components ⋮ Likelihood ratio and dispersive orders of parallel and series systems consisting of dependent multiple-outlier components ⋮ Ordering results on largest order statistics from multiple-outlier gamma variables ⋮ On sample ranges in multiple-outlier models ⋮ A note on likelihood ratio ordering of order statistics from two samples ⋮ Stochastic comparison of parallel systems with log-Lindley distributed components ⋮ Stochastic comparisons of largest-order statistics for proportional reversed hazard rate model and applications ⋮ ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS ⋮ Likelihood ratio order of parallel systems under multiple-outlier models ⋮ Comparisons of largest order statistics from multiple-outlier gamma models ⋮ On stochastic comparisons of minimum order statistics from the location-scale family of distributions ⋮ Stochastic comparison of lifetimes of two \((n - k + 1)\)-out-of-\(n\) systems with heterogeneous dependent components ⋮ Comparisons between largest order statistics from multiple-outlier models ⋮ On stochastic comparisons of k-out-of-n systems with Weibull components ⋮ Some results on majorization and their applications ⋮ Stochastic comparisons of series systems with heterogeneous Gompertz- G components ⋮ Comparisons of the largest order statistics under general exponential Pareto distribution ⋮ Reliability study of series and parallel systems of heterogeneous component lifetimes following proportional odds model ⋮ Stochastic comparisons of parallel systems with heterogeneous exponentiated half logistic-F components ⋮ Ordering properties of the smallest and largest lifetimes in Gompertz–Makeham model

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