期刊全称 | Bilinear Regression Analysis | 期刊简称 | An Introduction | 影响因子2023 | Dietrich von Rosen | 视频video | | 发行地址 | Presents results for bilinear regression models and their connection to classical statistical multivariate analysis.Sheds new light on the notion of linear and bilinear multivariate models.Includes bo | 学科分类 | Lecture Notes in Statistics | 图书封面 |  | 影响因子 | This book expands on the classical statistical multivariate analysis theory by focusing on bilinear regression models, a class of models comprising the classical growth curve model and its extensions. In order to analyze the bilinear regression models in an interpretable way, concepts from linear models are extended and applied to tensor spaces. Further, the book considers decompositions of tensor products into natural subspaces, and addresses maximum likelihood estimation, residual analysis, influential observation analysis and testing hypotheses, where properties of estimators such as moments, asymptotic distributions or approximations of distributions are also studied. Throughout the text, examples and several analyzed data sets illustrate the different approaches, and fresh insights into classical multivariate analysis are provided. This monograph is of interest to researchers and Ph.D. students in mathematical statistics, signal processing and other fields where statistical multivariate analysis is utilized. It can also be used as a text for second graduate-level courses on multivariate analysis.. | Pindex | Book 2018 |
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