Define the an:i and bnij as in XXXXXXXXXXShow that                                an:i = i ³ n i ´ Z R1 x[F0(x)]i−1 [1 − F0(x)]n−i dF0(x), for every i = 1,... ,n,n ≥ 1. Show that the an:i ’s all exist...

Define the an:i and bnij as in (3.35). Show that

                               an:i = i ³ n i ´ Z R1 x[F0(x)]i−1 [1 − F0(x)]n−i dF0(x),

for every i = 1,... ,n,n ≥ 1. Show that the an:i ’s all exist whenever IEF0 (X) exists. What happens when IEF0 |X| α <><><><><><>