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.
机构:
Department of Statistics, Cochin University of Science and Technology, Cochin-682 022, IndiaDepartment of Statistics, Cochin University of Science and Technology, Cochin-682 022, India
Unnikrishnan Nair, N.
Sankaran, P.G.
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Department of Statistics, Cochin University of Science and Technology, Cochin-682 022, IndiaDepartment of Statistics, Cochin University of Science and Technology, Cochin-682 022, India
机构:
Department of Statistics, Cochin University of Science and Technology, Kerala, CochinDepartment of Statistics, Cochin University of Science and Technology, Kerala, Cochin
Sankaran P.G.
Nair N.U.
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Department of Statistics, Cochin University of Science and Technology, Kerala, CochinDepartment of Statistics, Cochin University of Science and Technology, Kerala, Cochin