Page 1 of 1

1. Suppose that X is Pareto distributed with parameters α and K. a) Let y> 0. Show that XY is integrable if and only if

Posted: Tue Jul 12, 2022 11:53 am
by answerhappygod
 1
1 (21.58 KiB) Viewed 29 times
1. Suppose that X is Pareto distributed with parameters α and K. a) Let y> 0. Show that XY is integrable if and only if y< a. b) Determine the Lebesgue density of the distribution of X, and show that E(X)= k/(α-1) if a > 1 as well as K².a o²(X) = if α > 2. (α-1)² (α-2)