Francisco Germán Badía Blasco, María Dolores Berrade Ursúa, Clemente Antonio Campos Sáez
In this work an extension of the classical distribution due to Marshall and Olkin is presented. The generalized Marshall-Olkin distribution (GMOD) extends the no-aging property to the multivariate case. The GMOD with N marginals is related to N+1 independent random variables whose corresponding failure rates are proportional to a given rate, r(x). Moreover, it turns out to be apropriate to model the survival time of a system under competing risks with N+1 causes of failure when the time to failure is independent of the time to failure.
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