Hazard rate ordering of the largest order statistics from geometric random variables

DOI10.1017/JPR.2018.40zbMath1401.60025OpenAlexW2883581994WikidataQ129483401 ScholiaQ129483401MaRDI QIDQ4684964

Jeongsim Kim, Bara Kim

Publication date: 26 September 2018

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jpr.2018.40

zbMATH Keywords

order statisticshazard rate orderparallel system

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Reliability and life testing (62N05)

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De Vylder and Goovaerts' conjecture on homogeneous risk models with equalized claim amounts

Cites Work

• Stochastic orders
• A stochastic comparison result about hazard rate ordering of two parallel systems comprising of geometric components
• Stochastic comparisons of parallel systems of heterogeneous exponential components
• Some new results on stochastic comparisons of parallel systems
• EQUIVALENT CHARACTERIZATIONS ON ORDERINGS OF ORDER STATISTICS AND SAMPLE RANGES
• LIKELIHOOD RATIO AND HAZARD RATE ORDERINGS OF THE MAXIMA IN TWO MULTIPLE-OUTLIER GEOMETRIC SAMPLES
• Comparisons of Parallel Systems According to the Convex Transform Order
• STOCHASTIC COMPARISONS OF PARALLEL SYSTEMS WHEN COMPONENTS HAVE PROPORTIONAL HAZARD RATES

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