Suppose X_1,X_2.....is a sequence of independent normal variable with
E(X)=0 and Var(X)=1 and let
S_n = X_1+.....+X_n , T_n = (X_1)^2+........+(X_n)^2
Find the asymptotic distribution of T_n and W_n = n*X_n+1
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T_n
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