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Pseudosolution of Linear Functional Equations [electronic resource] :Parameters Estimation of Linear Functional Relationships / by Alexander S. Mechenov.

by Mechenov, Alexander S [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Mathematics and Its Applications: 576Publisher: Boston, MA : Springer US, 2005.Description: X, 238 p. online resource.ISBN: 9780387245065.Subject(s): Mathematics | Computer science -- Mathematics | Econometrics | Mathematics | Computational Mathematics and Numerical Analysis | EconometricsDDC classification: 518 | 518 Online resources: Click here to access online
Contents:
Contents -- General Preface -- Labels and Abbreviations -- Chapter I. Systems of Linear Algebraic Equations -- Chapter II. Systems of Linear Algebraic Equations -- Chapter III. Linear Integral Equations -- References -- Application -- Index -- Glossary of Symbols.
In: Springer eBooksSummary: This book presents the author’s new method of two-stage maximization of likelihood function, which helps to solve a series of non-solving before the well-posed and ill-posed problems of pseudosolution computing systems of linear algebraic equations (or, in statistical terminology, parameters’ estimators of functional relationships) and linear integral equations in the presence of deterministic and random errors in the initial data. This book, for the first time, presents 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 relationships. Audience This book is intended for students, postgraduate students, scientists, and other researchers on handling economical and technical data. The book is especially intended for those who constantly use regression analysis in their own research and for those who create the mathematical software for computers.
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Contents -- General Preface -- Labels and Abbreviations -- Chapter I. Systems of Linear Algebraic Equations -- Chapter II. Systems of Linear Algebraic Equations -- Chapter III. Linear Integral Equations -- References -- Application -- Index -- Glossary of Symbols.

This book presents the author’s new method of two-stage maximization of likelihood function, which helps to solve a series of non-solving before the well-posed and ill-posed problems of pseudosolution computing systems of linear algebraic equations (or, in statistical terminology, parameters’ estimators of functional relationships) and linear integral equations in the presence of deterministic and random errors in the initial data. This book, for the first time, presents 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 relationships. Audience This book is intended for students, postgraduate students, scientists, and other researchers on handling economical and technical data. The book is especially intended for those who constantly use regression analysis in their own research and for those who create the mathematical software for computers.

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