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The method is extended to the simulation of multivariate random processes utilizing proper orthogonal decomposition.
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Consider the multivariate random
In the source enumeration problem, our model is a multivariate Gaussian random process with zero mean and covariance of the type shown in (62), where the number of active sources is unknown.
The multivariate statistical analysis of random processes widely uses the Wishart distribution, which describes statistical properties of a maximum likelihood (ML) estimate of the real-valued positively definite correlation matrix (CM) of multivariate Gaussian processes/fields [1 5].
random processes.
In order to separate multivariate sources from multivariate observations, a cost function for multivariate random variables is needed.
sample of size k of a multivariate random variable (underline{X} inmathbb{R}^{m}).
Normal correlations are the means to quantify the linear relationship between two multivariate random variables.
Copula-based models are a general set of statistical models defined for any multivariate random variable.
Hence in this paper, we propose a new and simple multivariate SSIM (MvSSIM) index for HSI, by treating the pixel spectrum as a multivariate random vector.
Here, we propose a multivariate random vector generation approach for generating random stress tensor components that is based on tensorial techniques and which incorporates inter-component correlation.
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