| 书目名称 | Applications of Linear and Nonlinear Models | | 副标题 | Fixed Effects, Rando | | 编辑 | Erik Grafarend,Joseph Awange | | 视频video | | | 概述 | Numerous geodetic examples and various test computations..The treatment of both linear and nonlinear geodetic problems side by side as done in the present book is rare to come by.The polynomial method | | 图书封面 |  | | 描述 | .Here we present a nearly complete treatment of the Grand Universe of linear and weakly nonlinear regression models within the first 8 chapters. Our point of view is both an algebraic view as well as a stochastic one. For example, there is an equivalent lemma between a best, linear uniformly unbiased estimation (BLUUE) in a Gauss-Markov model and a least squares solution (LESS) in a system of linear equations. While BLUUE is a stochastic regression model, LESS is an algebraic solution. In the first six chapters we concentrate on underdetermined and overdeterimined linear systems as well as systems with a datum defect. We review estimators/algebraic solutions of type MINOLESS, BLIMBE, BLUMBE, BLUUE, BIQUE, BLE, BIQUE and Total Least Squares. The highlight is the simultaneous determination of the first moment and the second central moment of a probability distribution in an inhomogeneous multilinear estimation by the so called E-D correspondence as well as its Bayes design. In addition, we discuss continuous networks versus discrete networks, use of Grassmann-Pluecker coordinates, criterion matrices of type Taylor-Karman as well as FUZZY sets. Chapter seven is a speciality in the tre | | 出版日期 | Book 20121st edition | | 关键词 | BLUUE; Fixed effects; Geodesy; LESS; Linear Models; Nonlinear Models; Random effects; Statistics; Total leas | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-22241-2 | | isbn_softcover | 978-3-662-50813-8 | | isbn_ebook | 978-3-642-22241-2 | | copyright | Springer-Verlag Berlin Heidelberg 2012 |
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发表于 2025-3-21 17:35:50
