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Titlebook: Bilinear Regression Analysis; An Introduction Dietrich von Rosen Book 2018 Springer International Publishing AG, part of Springer Nature 20

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發(fā)表于 2025-3-25 06:58:50 | 只看該作者
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https://doi.org/10.1007/978-981-13-3699-7 approach is extended to cover tensor space decompositions which is a basic tool when considering bilinear regression models. The decompositions are illustrated in figures where one can follow how maximum likelihood estimators are obtained by projecting on appropriate subspaces.
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發(fā)表于 2025-3-25 19:23:39 | 只看該作者
Issues Decisive for China’s Rise or Fallsitions of the tensor space where within-individuals spaces also have an inner product which has to be estimated. All obtained estimators have explicit forms. A short literature review of bilinear regression models is given.
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發(fā)表于 2025-3-25 22:09:18 | 只看該作者
Energy Security and Territorial Disputesrived for all estimators as well as the covariance among the estimators from the same model. Calculations use knowledge about the matrix normal, Wishart and inverted Wishart distributions. It is shown that the estimators are asymptotically equivalent to normally distributed random variables.
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https://doi.org/10.1007/978-981-13-3699-7gression models several natural residuals appear. The residuals are obtained by applying space decompositions of the tensor product of the between-individual and within-individual spaces. Density approximations are performed for the residuals. To obtain the distribution of the large residuals a para
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https://doi.org/10.1007/978-981-13-3699-7A short introduction to bilinear regression analysis is presented. The statistical paradigm is introduced. Moreover, bilinear regression models are presented together with a number of examples. Some historical remarks on the material of the book are given.
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