Sharp bounds for the mean of the total time on test for distributions with increasing generalized failure rate

DOI10.1080/02331888.2017.1410153zbMath1402.62083OpenAlexW4242311001MaRDI QIDQ4579987

Maria Szpak, Mariusz Bieniek

Publication date: 13 August 2018

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2017.1410153

zbMATH Keywords

projection methodsharp boundsgeneralized Pareto distributiontotal time on testlife testinggeneralized failure rate

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)

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Cites Work

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• Statistical inference using extreme order statistics
• Projection method for moment bounds on order statistics from restricted families. II: Independent case
• Optimal bounds on expectations of order statistics and spacings from nonparametric families of distributions generated by convex transform order
• Exact bounds for the mean of total time on test under type II censoring samples
• Optimal bounds for the mean of the total time on test for distributions with decreasing generalized failure rate
• On Families of Distributions for Which Optimal Bounds on Expectations of GOS Can be Derived
• Projecting statistical functionals

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