Dispersive ordering of order statistics

DOI10.1016/0167-7152(95)00083-6zbMath0847.62039OpenAlexW2070225560MaRDI QIDQ1916205

Subhash C. Kochar

Publication date: 8 October 1996

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(95)00083-6

zbMATH Keywords

reliabilityorder statistic\(k\)-out-of-\(n\) systemlikelihood ratio orderingdispersive orderinghazard rate orderingdecreasing failure rate distributionDFR distribution

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

Related Items (11)

On the skewness of order statistics in multiple-outlier PHR models ⋮ Lorenz ordering of order statistics ⋮ Dispersive ordering-some applications and examples ⋮ Stochastic comparisons of order statistics and spacings: a review ⋮ A characterization of the multivariate excess wealth ordering ⋮ On dispersive ordering between order statistics in one-sample and two-sample problems ⋮ Second-order stochastic comparisons of order statistics ⋮ Variability of the MAX and MIN statistic: a theory of the quantile spread as a function of sample size ⋮ Preserving multivariate dispersion: an application to the Wishart distribution ⋮ Dispersive order comparisons on extreme order statistics from homogeneous dependent random vectors ⋮ Variability ordering of heavy-tailed distributions with applications to order statistics

Cites Work

• Unnamed Item
• A note on dispersive ordering defined by hazard functions
• On likelihood-ratio ordering of order statistics
• Some results on normalized spacings from restricted families of distributions
• On tail-ordering and comparison of failure rates
• Applications of the hazard rate ordering in reliability and order statistics

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