A note on reliability properties of \(k\)-record statistics

DOI10.1007/BF02717177zbMath0915.62084OpenAlexW2031284497MaRDI QIDQ1377362

Wael A. Amin, Mohammad Zayed Raqab

Publication date: 30 June 1999

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186259

zbMATH Keywords

record valuesfailure rateIFRDFRlog concavitylog convexity

Mathematics Subject Classification ID

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

Related Items (5)

Shannon Information Ink-records ⋮ HR and RHR orderings of generalized order statistics ⋮ Fisher information in \(k\)-records ⋮ A note on reversed hazard rate of order statistics and record values ⋮ SOME CONVEXITY PROPERTIES OF THE DISTRIBUTION OF LOWER k-RECORD VALUES WITH EXTENSIONS

Cites Work

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• A concept of generalized order statistics
• Some reliability properties of order statistics
• Some partial ordering results on record values
• The characterization of distributions by order statistics and record values — a unified approach
• Closure and Monotonicity Properties of Nonhomogeneous Poisson Processes and Record Values
• A note on hazard rates of order statistics
• Records
• Reliability properties of record values from non-identically distributed random variables

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