Consider two random variables, A [0, ] and B = [0, ] A is distributed...

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Consider two random variables, A € [0, ∞] and B = [0, ∞] A is distributed according to Bis distributed according to F(a)=1-e-a G(a) = 1- 1 (a + 1)² 1. Does A stochastically dominate B.? 2. Does A dominate B in terms of the hazard rate? 3. Does A dominate B in terms of the reverse hazard rate? 4. Does A dominate B with respect to the likelihood ratio? Consider two random variables, A € [0, ∞] and B = [0, ∞] A is distributed according to Bis distributed according to F(a)=1-e-a G(a) = 1- 1 (a + 1)² 1. Does A stochastically dominate B.? 2. Does A dominate B in terms of the hazard rate? 3. Does A dominate B in terms of the reverse hazard rate? 4. Does A dominate B with respect to the likelihood ratio?

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To determine if A stochastically dominates B we need to compare their cumulative distribution functions CDFs 1 Stochastic Domination A random variable A stochastically dominates B if and only if Fa Ga ... View the full answer