SOME UNIVARIATE STOCHASTIC ORDERS ON RECORD VALUES

DOI10.1081/STA-100001559zbMath0997.60007OpenAlexW2060157990MaRDI QIDQ4541769

N. R. Arghami, Jafar Ahmadi

Publication date: 28 July 2002

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sta-100001559

zbMATH Keywords

IFRDFRDFRAIFRANBUNWUlikelihood ratio orderingDMRLIMRLNBUEusual stochastic orderinghazard rate orderingmean residual life orderingNWUEminimum repair

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Extreme value theory; extremal stochastic processes (60G70) Reliability and life testing (62N05)

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Entropy properties of record statistics ⋮ Some stochastic comparisons of lower records and lower record spacings ⋮ Estimation of the stress–strength reliability using lower record ranked set sampling scheme under the generalized exponential distribution ⋮ HR and RHR orderings of generalized order statistics ⋮ Rényi entropy properties of records ⋮ Fuzzy record values ⋮ Stochastic comparisons of spacings of record values from one or two sample sequences ⋮ Record ranked set sampling scheme ⋮ On the dynamic cumulative residual quantile entropy ordering ⋮ On stochastic orderings between residual record values ⋮ On the Nearness of Records to Population Quantiles with Respect to Order Statistics in the Sense of Pitman Closeness ⋮ On generalized mean residual life of record values ⋮ Stochastic comparison and monotonicity of inactive record values ⋮ Preservation of some reliability properties by certain record statistics ⋮ Reconstruction of past records ⋮ Some New Results on Stochastic Comparisons of Record Values ⋮ Stochastic ordering of medians in samples from normal distributions

Cites Work

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• Some reliability properties of order statistics
• Some partial ordering results on record values
• Relationships between order statistics and record values and some characterization results
• Closure and Monotonicity Properties of Nonhomogeneous Poisson Processes and Record Values
• A note on hazard rates of order statistics
• Age-dependent minimal repair
• Breaking Records and Breaking Boards

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