A Stochastic Model of Reliability of Systems with Continuously Dependent Components (original) (raw)

In two component parallel system, mutual continuous physical interactions create a specific sort of stochastic dependences between the times to failure of the components. In this paper an analysis of the components failure mechanism yields to stochastic description of the phenomena. Finally an interesting stochastic model in the form of bivariate probability distribution is constructed. As a special case of the obtained model the first Gumbel bivariate exponential probability distribution is obtained.

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