Question: Suppose that X has mean excess loss e(x) = x + 1 for x 2 0. (a) Find S(x), f(x), and h(x). (b) Determine the

Suppose that X has mean excess loss e(x) = x +

Suppose that X has mean excess loss e(x) = x + 1 for x 2 0. (a) Find S(x), f(x), and h(x). (b) Determine the tail behavior of X by considering the moments of X. (c) Determine the tail behavior of X by considering the behavior of the hazard rate. (d) Determine the tail behavior of X by considering the behavior of the mean excess loss. (e) Find the pdf fe(x) and survival function Se(x) of the equilibrium distribution

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