Order statistics and test duration

DOI10.1016/j.jspi.2007.02.002zbMath1130.62050OpenAlexW2031967091MaRDI QIDQ2474371

Jie Mi

Publication date: 6 March 2008

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2007.02.002

zbMATH Keywords

exponential distributionlikelihood ratio ordermajorizationusual stochastic orderingbetter arrangementelapsed test timeprobability orderingprogressively type-II right censoringtotal elapsed time on test

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Censored data models (62N01) Order statistics; empirical distribution functions (62G30) Testing in survival analysis and censored data (62N03) Reliability and life testing (62N05)

Cites Work

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• Optimal allocation of components in parallel–series and series–parallel systems
• Bolstering components for maximizing system lifetime
• Optimal allocation under partial ordering of lifetimes of components
• Nonparametric Estimation of a Distribution Subject to a Stochastic Precedence Constraint
• The stochastic precedence ordering with applications in sampling and testing
• Optimal active redundancy allocation in k-out-of-n system
• Inequalities: theory of majorization and its applications

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