Hi all, Please help! I am reading the paper "A note on contiguity and Hellinger distance" by J. Oosterhoff and W.R. van Zwet. I have tons of questions. The following is just one of them. Question 1: in their paper, when they prove the asymptotic normality they claim that according to an equivalent form of the normal convergence theorem (from Loeve's book) they can obtain that conditions (3.2) and (3.3) are equivalent to (3.8)-(3.10). Is there anyone know how they got there? I am sorry that I am unable to type the formula down, there are too many notations. If anyone is familiar with this paper, could you please kindly help me out? Thank you very much.