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...My problem is trying to figure out how the (model) identifier (e.g, EII, VII, VVI, etc.) relates to the covariance matrix. The parameterization of the covariance matrix makes use of the method of decomposition in Banfield and Rraftery (1993) and Fraley and Raftery (2002) where Sigma_k = lambda_k*D_k*A_k*D_k^' where Sigma_k is the covariance matrix for the kth (k=1,...,G), lambda_k is the kth groups constant of proportionality, D_k is the orthogonal matrix of eigenvectors for the kth group, and A_k is a diagonal matrix whose elements are proportional to the eigenvalues. The parameterizati...

...2k+1)(j) \over 2N} \pi + \sum_{j=0}^{N-1} a'_{2j+1} \cos{(2k+1)(2j+1) \over 4N} \pi (for k < N), and c_(2N-1-k} = \sum_{j=0}^{N-1} a'_{2j} \cos{(2k+1)(j) \over 2N} \pi - \sum_{j=0}^{N-1} a'_{2j+1} \cos{(2k+1)(2j+1) \over 4N} \pi (otherwise). Thus we calculate (for k = 0..N-1) d_k := \sum_{j=0}^{N-1} a'_{2j} \cos{(2k+1)(j) \over 2N} \pi (this is a half length DCT-II), and e_k := \sum_{j=0}^{N-1} a'_{2j+1} \cos{(2k+1)(2j+1) \over 4N} \pi (a half length DCT-IV). Hey, we know how to calculate those! Just recursion... The endcase (startcase) for the recursion is the...