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This paper is a study on comparison between coherent systems with independent and heterogeneous components. Specifically, we consider 3-component coherent systems composed of two different types of components where we assume that component lifetimes follow the well-known proportional hazards model. We stochastically compare such systems under different situations and based on some assumptions on the parameters of proportionality.

On stochastic comparisons of coherent systems with two different types of components