The Weibull cumulative distribution function with parameters

The Weibull cumulative distribution function with parameters > 0 and > 0 is F (x) = 1 e(x/) , x 0.

(a) Find the density function.

(b) Show that if X follows a Weibull distribution, then Y = (X/) follows an exponential distribution.

(c) How could Weibull random variables be generated from a uniform random number generator?

need help in particular with part c

Solution

The Weibull cumulative distribution function with parameters > 0 and > 0 is F (x) = 1 e(x/) , x 0. (a) Find the density function. (b) Show that if X follo

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