uppose that X has mean excess loss e(x) = x +1 for > 0. a) Find S(x), f(x), and h(x).

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Suppose that X has mean excess loss e(x) = x + 1 for x > 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.
Transcribed Image Text:Suppose that X has mean excess loss e(x) = x + 1 for x > 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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