Establish condition (c) in the above proof: if then for any there exists some such that Establish the convergence result used to prove (iii) ⇒ (i) above: suppose for each Then if and only if...

Establish condition (c) in the above proof: if

then for any

there exists some

such that

Establish the convergence result used to prove (iii) ⇒ (i) above: suppose

for each

Then

if and only if the following hold:

(i)

in probability;

(ii) the family

is UI.