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Starshaped Ordering of Life Distributions and Its Aging Properties
Journal article   Peer reviewed

Starshaped Ordering of Life Distributions and Its Aging Properties

M Kayid, L S Diab, A Alzughaibi and I A Ahmad
IEEE transactions on reliability, Vol.60(1), pp.257-262
03/2011
DOI: https://doi.org/10.1109/TR.2010.2091555

Abstract

Aging Asymptotic Pitman efficacy Distribution functions Hazards increasing convex order Monte Carlo methods new better than used new better than used in increasing convex order Random variables Reliability theory stochastic order Testing
In this paper, we introduce a new aging class of life distributions based upon the starshaped ordering. This class can be useful in situations where some new better than used aging classes fail. Some properties are presented including the relationship of this class to other aging classes, and the preservation properties under some reliability operations. Finally, we discuss testing exponentially against this class, and apply this test to some data sets in the context of reliability.

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