On HNBUE class after specific age

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On HNBUE class after specific age

athemat s.2012.1 Abstract In this article we introduce new classes of life distributions namely harmonic new better (worse) than used in expectation after specific age t0 HNBUE t0 (HNWUE t0). The closure properties under various reliability operations such as convolution, mixture, mixing and the homogeneous Poisson shock model of these classes are studied. Furthermore, nonparametric test is pro...

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Characterizations of exponentiality within the HNBUE class and related tests

A harmonic new better than used in expectation (HNBUE) variable is a random variable which is dominated by an exponential distribution in the convex stochastic order. We use a recently obtained condition on stochastic equality under convex domination to derive characterizations of the exponential distribution and bounds for HNBUE variables based on the mean values of the order statistics of the...

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ژورنال

عنوان ژورنال: Journal of the Egyptian Mathematical Society

سال: 2013

ISSN: 1110-256X

DOI: 10.1016/j.joems.2012.10.010