Question: Let U ~ uniform(0,1). (a) Show that both - log U and - log(l - U) are exponential random variables. (b) Show that X =

Let U ~ uniform(0,1).
(a) Show that both - log U and - log(l - U) are exponential random variables.
(b) Show that X = log u/1-u is a logistic(0,1) random variable.
(c) Show how to generate a logistic(μ,β) random variable.

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