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On an ageing class based on the moment generating function order
Published online by Cambridge University Press: 26 July 2018
Abstract
We develop shock model theory in different scenarios for the ℳ-class of life distributions introduced by Klar and Müller (2003). We also study the cumulative damage model of A-Hameed and Proschan (1975) in the context of ℳ-class and establish analogous results. We obtain moment bounds and explore weak convergence issues within the ℳ-class of life distributions.
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- Copyright © Applied Probability Trust 2018
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