| 書目名稱 | Pseudosolution of Linear Functional Equations | | 副標題 | Parameters Estimatio | | 編輯 | Alexander S. Mechenov | | 視頻video | http://file.papertrans.cn/763/762554/762554.mp4 | | 概述 | Presents for the first time a solution of the problem of reciprocal influence of passive errors of regressors and of active errors of predictors by computing point estimators of functional relationshi | | 叢書名稱 | Mathematics and Its Applications | | 圖書封面 |  | | 描述 | In the book there are introduced models and methods of construction of pseudo-solutions for the well-posed and ill-posed linear functional equations circumscribing models passive, active and complicated experiments. Two types of the functional equations are considered: systems of the linear algebraic equations and linear integral equations. Methods of construction of pseudos6lutions are developed in the presence of passive right-hand side errors for two types of operator errors: passive measurements and active representation errors of the operator, and all their combinations. For the determined and stochastic models of passive experiments the method of the least distances of construction of pseudosolutions is created, the maximum likelihood method of construction of pseudosolutions is applied for active experiments, and then methods for combinations of models of regression, of passive and of active experiments are created. We have constructed regularized variants of these methods for systems of the linear algebraic equations with the degenerated matrices and for linear integral equations of the first kind. In pure mathematics, the solution techniques of the functional equations wit | | 出版日期 | Book 2005 | | 關鍵詞 | functional equation; integral; integral equation; linear algebra | | 版次 | 1 | | doi | https://doi.org/10.1007/b105733 | | isbn_softcover | 978-0-387-24505-8 | | isbn_ebook | 978-0-387-24506-5 | | copyright | Springer-Verlag US 2005 |
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