Stochastic Comparisons of Random Vectors with Conditionally Independent Components
نویسندگان
چکیده
In this paper we consider the following model. We consider n nonnegative random variables T1, T2, . . . , Tn such that they are conditionally independent given some random vector Θ, where Θ takes values on some set χ ⊆ R. If Fi(·|θ) denotes the marginal distribution of Ti(θ) ≡ (Ti|Θ = θ), and G(θ) denotes the joint distribution function of Θ, then the joint distribution of (T1, T2, . . . , Tn) is given by
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