Partial Ordering and Aging Properties of Order Statistics When the Sample Size is Random: A Brief Review

DOI10.1080/03610920701826195zbMath1145.60305OpenAlexW2082818308MaRDI QIDQ3518481

Asok K. Nanda, Shaked, Moshe

Publication date: 8 August 2008

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

Full work available at URL: https://doi.org/10.1080/03610920701826195

zbMATH Keywords

likelihood ratio orderIFRhazard rate orderDFRDFRAIFRANBUNWUdispersive orderexcess wealth orderDMRLNBUELaplace transform orderNBU(2)NBUC

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Reliability, availability, maintenance, inspection in operations research (90B25)

Related Items (14)

FURTHER RESULTS ON STOCHASTIC ORDERINGS AND AGING CLASSES IN SYSTEMS WITH AGE REPLACEMENT ⋮ Stochastic comparisons of parallel and series systems of dependent components equipped with starting devices ⋮ Preservation of transform orders under a semiparametric model and its mixture ⋮ A new stochastic order based on discrete Laplace transform and some ordering results of the order statistics ⋮ Analysis of survival data by a Weibull-generalized Poisson distribution ⋮ Estimation of reliability in a series system with random sample size ⋮ Exact distribution of random order statistics and applications in risk management ⋮ Distributions of the minimum and the maximum of a random number of random variables ⋮ Random number of units for \(K\)-out-of-\(n\) systems ⋮ A new stochastic order based upon Laplace transform with applications ⋮ Stochastic comparisons of parallel systems with scale proportional hazards components equipped with starting devices ⋮ Total Time on Test Transforms of Order n and Their Implications in Reliability Analysis ⋮ On Relative Reversed Hazard Rate Order ⋮ Stochastic comparisons of parallel systems with starting devices

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