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Possible extensions to the multivariate case are also discussed.
Possible extensions to the multivariate case are discussed.
Most of the works on control charts in multivariate case are on problem of monitoring mean vector of the process.
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Finally, a possible extension of the concept of relative orders to the multivariate case is discussed.
The possible extension to the multivariate case is a challenging topic for future research (see Section 6).
A possible extension of the concept of relative stochastic orders to the multivariate case is discussed and some examples of interest are given in Section 2.5.
In the following, a short overview of the concept of M-estimation for the multivariate case is presented, as required by our methods.
Starting from the covariance structure for the univariate case obtained in Li and Loken (2002), the covariance structure for the multivariate case is derived based on the group symmetry induced by the assumed exchangeability in the units.
In the multivariate case that is the basis for the present paperh, the estimation can be performed either using conditional mean models or fully parametric models.
The matrix of autoregressive coefficients in the multivariate case can be written as (2) where the coefficients aij represent the linear interaction between voxel i onto voxel j for a given time lag k.
For the univariate case (CS) this procedure would render here the absolute differences, but notice that for the multivariate case it is not equivalent to calculate the absolute differences of all Procrustes coordinates.
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