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Svatopluk Poljak, Maximum Rank of Powers of a Matrix of a Given Pattern, Proceedings of the American Mathematical Society, Vol. 106, No. 4 (Aug., 1989), pp. 1137-1144 ...
In this paper we consider estimating the rank of an unknown symmetric matrix based on a symmetric, asymptotically normal estimator of the matrix. The related positive definite limit covariance matrix ...