1. Assume the RV X follows a Pareto distribution with PDF: for some parameter a >...

Transcribed Image Text:

1. Assume the RV X follows a Pareto distribution with PDF: for some parameter a > 0. fx(x) = 0, ax-a-1 2 x < 1 x ≥ 1' (b) (5 points) Consider a Uniform(0,1) RV U, and find a transformation that follows the Pareto distribution, i.e., find a function g(.) such that g(U) ~ Pareto(a). (Hint: Use the inverse CDF method.) 1. Assume the RV X follows a Pareto distribution with PDF: for some parameter a > 0. fx(x) = 0, ax-a-1 2 x < 1 x ≥ 1' (b) (5 points) Consider a Uniform(0,1) RV U, and find a transformation that follows the Pareto distribution, i.e., find a function g(.) such that g(U) ~ Pareto(a). (Hint: Use the inverse CDF method.)

Answer rating: 100% (QA)

To transform a Uniform01 random variable U into a pareto distribution with ... View the full answer