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Mathematical statistics --- Least squares. --- Error analysis (Mathematics) --- Least squares --- #TELE:SISTA --- Method of least squares --- Squares, Least --- Curve fitting --- Geodesy --- Mathematics --- Probabilities --- Triangulation --- Errors, Theory of --- Instrumental variables (Statistics) --- Numerical analysis --- Statistics

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Filtering and system identification are powerful techniques for building models of complex systems. This 2007 book discusses the design of reliable numerical methods to retrieve missing information in models derived using these techniques. Emphasis is on the least squares approach as applied to the linear state-space model, and problems of increasing complexity are analyzed and solved within this framework, starting with the Kalman filter and concluding with the estimation of a full model, noise statistics and state estimator directly from the data. Key background topics, including linear matrix algebra and linear system theory, are covered, followed by different estimation and identification methods in the state-space model. With end-of-chapter exercises, MATLAB simulations and numerous illustrations, this book will appeal to graduate students and researchers in electrical, mechanical and aerospace engineering. It is also useful for practitioners. Additional resources for this title, including solutions for instructors, are available online at www.cambridge.org/9780521875127.

Filters (Mathematics) --- System identification. --- Filtres (Mathématiques) --- Systèmes, Identification des --- Mathematics --- Identification, System --- System analysis --- Least squares. --- Method of least squares --- Squares, Least --- Curve fitting --- Geodesy --- Mathematical statistics --- Probabilities --- Triangulation

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Running Regressions introduces first-year social science undergraduates, particularly those studying economics and business, to the practical aspects of simple regression analysis, without adopting an esoteric, mathematical approach. It shows that statistical analysis can be simultaneously straightforward, useful and interesting, and can deal with topical, real-world issues. Each chapter introduces an economic theory or idea by relating it to an issue of topical interest, and explains how data and econometric analysis can be used to test it. The book can be used as a self-standing text or to supplement conventional econometric texts. It is also ideally suited as a guide to essays and project work.

Econometrics. --- Least squares. --- Regression analysis. --- Analysis, Regression --- Linear regression --- Regression modeling --- Multivariate analysis --- Structural equation modeling --- Method of least squares --- Squares, Least --- Curve fitting --- Geodesy --- Mathematical statistics --- Mathematics --- Probabilities --- Triangulation --- Economics, Mathematical --- Statistics

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Mathematical statistics --- Échantillonnage --- Sampling --- 519.235 --- Least squares --- Regression analysis --- #TELE:SISTA --- Analysis, Regression --- Linear regression --- Regression modeling --- Multivariate analysis --- Structural equation modeling --- Method of least squares --- Squares, Least --- Curve fitting --- Geodesy --- Mathematics --- Probabilities --- Triangulation --- Statistics of dependent variables. Contingency tables --- Least squares. --- Regression analysis. --- 519.235 Statistics of dependent variables. Contingency tables

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Numerical analysis --- Mathematical statistics --- Equations, Simultaneous --- Least squares --- Moindres carrés --- Numerical solutions --- Least squares. --- Numerical solutions. --- 519.65 --- -Least squares --- #TELE:SISTA --- Method of least squares --- Squares, Least --- Curve fitting --- Geodesy --- Mathematics --- Probabilities --- Triangulation --- Simultaneous equations --- Approximation. Interpolation --- 519.65 Approximation. Interpolation --- Moindres carrés --- Numerical calculations --- Calculs numériques --- Moindres carrés. --- Calculs numériques. --- Analyse numérique. --- Algèbre linéaire. --- Algebras, Linear