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Adaptive filters play an important role in the fields related to digital signal processing and communication, such as system identification, noise cancellation, channel equalization, and beamforming. In practical applications, the computational complexity of an adaptive filter is an important consideration. The Least Mean Square (LMS) algorithm is widely used because of its low computational complexity (O(N)) and simplicity in implementation. The least squares algorithms, such as Recursive Least Squares (RLS), Conjugate Gradient (CG), and Euclidean Direction Search (EDS), can converge faster and have lower steady-state mean square error (MSE) than LMS. However, their high computational complexity (O(N2)) makes them unsuitable for many real-time applications. A well-known approach to controlling computational complexity is applying partial update (PU) method to adaptive filters. A partial update method can reduce the adaptive algorithm complexity by updating part of the weight vector instead of the entire vector or by updating part of the time. In the literature, there are only a few analyses of these partial update adaptive filter algorithms. Most analyses are based on partial update LMS and its variants. Only a few papers have addressed partial update RLS and Affine Projection (AP). Therefore, analyses for PU least-squares adaptive filter algorithms are necessary and meaningful.

Adaptive filters --- Least squares. --- Method of least squares --- Squares, Least --- Curve fitting --- Geodesy --- Mathematical statistics --- Mathematics --- Probabilities --- Triangulation --- Filters, Adaptive --- Electric filters --- Design and construction.

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Ten chapters discuss key aspects of advanced PLS analysis and its practical applications, covering new guidelines and improvements in the use of PLS-PM as well as various individual topics.

Least squares. --- Structural equation modeling. --- SEM (Structural equation modeling) --- Multivariate analysis --- Factor analysis --- Regression analysis --- Path analysis (Statistics) --- Method of least squares --- Squares, Least --- Curve fitting --- Geodesy --- Mathematical statistics --- Mathematics --- Probabilities --- Triangulation --- Hospitality industry --- Research --- E-books --- Service industries

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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