Partial moments are extensively used in literature for modeling and analysis of lifetime data. In this paper, we study properties of partial moments using quantile functions. The quantile based measure determines the underlying distribution uniquely. We then characterize certain lifetime quantile function models. The proposed measure provides alternate definitions for ageing criteria. Finally, we explore the utility of the measure to compare the characteristics of two lifetime distributions. (C) 2012 The Korean Statistical Society. Published by Elsevier B.V. All rights reserved.
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UC3M Santander Big Data Inst, Madrid, SpainUniv Carlos III Madrid, Dept Stat, Madrid, Spain
Mendez-Civeieta, Alvaro
Aguilera-Morillo, M. Carmen
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UC3M Santander Big Data Inst, Madrid, Spain
Univ Politecn Valencia, Dept Appl Stat & Operat Res & Qual, Valencia, SpainUniv Carlos III Madrid, Dept Stat, Madrid, Spain
Aguilera-Morillo, M. Carmen
Lillo, Rosa E.
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Univ Carlos III Madrid, Dept Stat, Madrid, Spain
UC3M Santander Big Data Inst, Madrid, SpainUniv Carlos III Madrid, Dept Stat, Madrid, Spain