Sentence:  The elements of such a correlation matrix do not have asymptotic variances and <WSD>covariances</WSD> of the form (1.2), even if S has a Wishart distribution. 
Meaning of the word marked with <WSD> tags:  A statistical measure defined as \scriptstyle\operatorname{Cov}(X, Y) = \operatorname{E}((X - \mu) (Y - \nu)) given two real-valued random variables "X" and "Y", with expected values \scriptstyle E(X)\,=\,\mu and \scriptstyle E(Y)\,=\,\nu.