Mathematics, 12.11.2019 23:31, akp24

Let x and y be independent, non-negative, continuous random variables with respective hazard rate functions λx(t) and λy (t) and set w = min(x, y ). (a) determine the distribution function of w in terms of those of x and y . (b) show that λw (t), the hazard rate function of w, is given by λw (t) = λx(t) + λy (t).

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Let x and y be independent, non-negative, continuous random variables with respective hazard rate fu...