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Graphical Comparison of Covariance Matrices
Australian Journal of Statistics, 1981SummaryProcedures for comparing within‐group covariance matrices are developed, based on separate analyses of the variances and of the correlations. The variances and the correlations are represented as two two‐way tables, with the columns representing groups. Graphical procedures based on comparisons of linear regressions are presented, by considering
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Testing for Autocorrelation and Equality of Covariance Matrices
Biometrics, 1996Repeated measures are frequently taken in clinical trials and animal studies. The correlation structure of these measures may follow a pattern such as that of a first-order autoregressive process that can be used to provide an improved statistical analysis.
McKeown, Sean P., Johnson, William D.
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Unconstrained parametrizations for variance-covariance matrices
Statistics and Computing, 1996The estimation of variance-covariance matrices through optimization of an objective function, such as a log-likelihood function, is usually a difficult numerical problem. Since the estimates should be positive semi-definite matrices, we must use constrained optimization, or employ a parametrization that enforces this condition.
José C. Pinheiro, Douglas M. Bates
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Iterated Toeplitz approximation of covariance matrices
ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing, 2003For a signal consisting of p complex exponentials in white noise, it is well known that the true covariance matrix will have the Hermitian Toeplitz structure and that its minimum eigenvalue will have a dimension of M-p (where M is the dimension of the matrix).
D. M. Wikes, Monson H. Hayes
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A Metric for Covariance Matrices
2003The paper presents a metric for positive definite covariance matrices. It is a natural expression involving traces and joint eigenvalues of the matrices. It is shown to be the distance coming from a canonical invariant Riemannian metric on the space Sym + (n, ℝ) of real symmetric positive definite ...
Wolfgang Förstner, Boudewijn Moonen
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Estimation of Space-Varying Covariance Matrices
2018 25th IEEE International Conference on Image Processing (ICIP), 2018This paper considers the representation of human trajectories in video signals. These trajectories are modeled by switched dynamical models, based on motion fields that drive the pedestrian during consecutive time intervals. This paper addresses the estimation of uncertainty in trajectory generation by using space-varying covariance matrices estimated ...
Catarina Barata +2 more
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A Bootstrap Comparison of Genetic Covariance Matrices
Biometrics, 1997Summary: An important problem in evolutionary biology is how population bottlenecks affect additive genetic variance \((V_A)\). When only additive effects are present, a decrease in \(V_A\) is predicted, whereas with many forms of nonadditive interactions, an increase is predicted.
Goodnight, Charles J. +1 more
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1995
It is actually difficult to characterize directly a covariance function matrix. This becomes easy in the spectral domain on the basis of Cramer’s generalization of the Bochner theorem, which is presented in this chapter. We consider complex covariance functions.
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It is actually difficult to characterize directly a covariance function matrix. This becomes easy in the spectral domain on the basis of Cramer’s generalization of the Bochner theorem, which is presented in this chapter. We consider complex covariance functions.
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Analytic inversion of a class of covariance matrices
IEEE Transactions on Information Theory, 1960The sample covariance matrix arising out of finite memory linear least squares estimation over a set of equally spaced time points, is inverted by spectral methods (operationally referred to as the z transform). It is shown that the complexity of the problem depends only upon the complexity of the input correlation function. The final solution is shown
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Ordering of Covariance Matrice
Econometric Theory, 1996CAPPUCCIO, NUNZIO, LUBIAN, DIEGO
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