Data Analysis Using the Method of Least Squares

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540317201
Total Pages : 257 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Data Analysis Using the Method of Least Squares by : John Wolberg

Download or read book Data Analysis Using the Method of Least Squares written by John Wolberg and published by Springer Science & Business Media. This book was released on 2006-02-08 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops the full power of the least-squares method Enables engineers and scientists to apply the method to their specific problem Deals with linear as well as with non-linear least-squares, parametric as well as non-parametric methods

Least Squares Data Fitting with Applications

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Author :
Publisher : JHU Press
ISBN 13 : 1421408589
Total Pages : 325 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Least Squares Data Fitting with Applications by : Per Christian Hansen

Download or read book Least Squares Data Fitting with Applications written by Per Christian Hansen and published by JHU Press. This book was released on 2013-01-15 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lucid explanation of the intricacies of both simple and complex least squares methods. As one of the classical statistical regression techniques, and often the first to be taught to new students, least squares fitting can be a very effective tool in data analysis. Given measured data, we establish a relationship between independent and dependent variables so that we can use the data predictively. The main concern of Least Squares Data Fitting with Applications is how to do this on a computer with efficient and robust computational methods for linear and nonlinear relationships. The presentation also establishes a link between the statistical setting and the computational issues. In a number of applications, the accuracy and efficiency of the least squares fit is central, and Per Christian Hansen, Víctor Pereyra, and Godela Scherer survey modern computational methods and illustrate them in fields ranging from engineering and environmental sciences to geophysics. Anyone working with problems of linear and nonlinear least squares fitting will find this book invaluable as a hands-on guide, with accessible text and carefully explained problems. Included are • an overview of computational methods together with their properties and advantages • topics from statistical regression analysis that help readers to understand and evaluate the computed solutions • many examples that illustrate the techniques and algorithms Least Squares Data Fitting with Applications can be used as a textbook for advanced undergraduate or graduate courses and professionals in the sciences and in engineering.

Least Squares Methods in Data Analysis

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Publisher :
ISBN 13 :
Total Pages : 127 pages
Book Rating : 4.:/5 (651 download)

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Book Synopsis Least Squares Methods in Data Analysis by :

Download or read book Least Squares Methods in Data Analysis written by and published by . This book was released on 1973 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Understanding Least Squares Estimation and Geomatics Data Analysis

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119501393
Total Pages : 724 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Understanding Least Squares Estimation and Geomatics Data Analysis by : John Olusegun Ogundare

Download or read book Understanding Least Squares Estimation and Geomatics Data Analysis written by John Olusegun Ogundare and published by John Wiley & Sons. This book was released on 2018-11-13 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a modern approach to least squares estimation and data analysis for undergraduate land surveying and geomatics programs Rich in theory and concepts, this comprehensive book on least square estimation and data analysis provides examples that are designed to help students extend their knowledge to solving more practical problems. The sample problems are accompanied by suggested solutions, and are challenging, yet easy enough to manually work through using simple computing devices, and chapter objectives provide an overview of the material contained in each section. Understanding Least Squares Estimation and Geomatics Data Analysis begins with an explanation of survey observables, observations, and their stochastic properties. It reviews matrix structure and construction and explains the needs for adjustment. Next, it discusses analysis and error propagation of survey observations, including the application of heuristic rule for covariance propagation. Then, the important elements of statistical distributions commonly used in geomatics are discussed. Main topics of the book include: concepts of datum definitions; the formulation and linearization of parametric, conditional and general model equations involving typical geomatics observables; geomatics problems; least squares adjustments of parametric, conditional and general models; confidence region estimation; problems of network design and pre-analysis; three-dimensional geodetic network adjustment; nuisance parameter elimination and the sequential least squares adjustment; post-adjustment data analysis and reliability; the problems of datum; mathematical filtering and prediction; an introduction to least squares collocation and the kriging methods; and more. Contains ample concepts/theory and content, as well as practical and workable examples Based on the author's manual, which he developed as a complete and comprehensive book for his Adjustment of Surveying Measurements and Special Topics in Adjustments courses Provides geomatics undergraduates and geomatics professionals with required foundational knowledge An excellent companion to Precision Surveying: The Principles and Geomatics Practice Understanding Least Squares Estimation and Geomatics Data Analysis is recommended for undergraduates studying geomatics, and will benefit many readers from a variety of geomatics backgrounds, including practicing surveyors/engineers who are interested in least squares estimation and data analysis, geomatics researchers, and software developers for geomatics.

Least Squares Methods in Data Analysis

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Author :
Publisher :
ISBN 13 :
Total Pages : 127 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Least Squares Methods in Data Analysis by :

Download or read book Least Squares Methods in Data Analysis written by and published by . This book was released on 1969 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods for Least Squares Problems

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Author :
Publisher : SIAM
ISBN 13 : 9781611971484
Total Pages : 425 pages
Book Rating : 4.9/5 (714 download)

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Book Synopsis Numerical Methods for Least Squares Problems by : Ake Bjorck

Download or read book Numerical Methods for Least Squares Problems written by Ake Bjorck and published by SIAM. This book was released on 1996-01-01 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of least squares was discovered by Gauss in 1795. It has since become the principal tool to reduce the influence of errors when fitting models to given observations. Today, applications of least squares arise in a great number of scientific areas, such as statistics, geodetics, signal processing, and control. In the last 20 years there has been a great increase in the capacity for automatic data capturing and computing. Least squares problems of large size are now routinely solved. Tremendous progress has been made in numerical methods for least squares problems, in particular for generalized and modified least squares problems and direct and iterative methods for sparse problems. Until now there has not been a monograph that covers the full spectrum of relevant problems and methods in least squares. This volume gives an in-depth treatment of topics such as methods for sparse least squares problems, iterative methods, modified least squares, weighted problems, and constrained and regularized problems. The more than 800 references provide a comprehensive survey of the available literature on the subject.

Handbook of Partial Least Squares

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540328270
Total Pages : 798 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Handbook of Partial Least Squares by : Vincenzo Esposito Vinzi

Download or read book Handbook of Partial Least Squares written by Vincenzo Esposito Vinzi and published by Springer Science & Business Media. This book was released on 2010-03-10 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook provides a comprehensive overview of Partial Least Squares (PLS) methods with specific reference to their use in marketing and with a discussion of the directions of current research and perspectives. It covers the broad area of PLS methods, from regression to structural equation modeling applications, software and interpretation of results. The handbook serves both as an introduction for those without prior knowledge of PLS and as a comprehensive reference for researchers and practitioners interested in the most recent advances in PLS methodology.

The Total Least Squares Problem

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Author :
Publisher : SIAM
ISBN 13 : 0898712750
Total Pages : 302 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis The Total Least Squares Problem by : Sabine Van Huffel

Download or read book The Total Least Squares Problem written by Sabine Van Huffel and published by SIAM. This book was released on 1991-01-01 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book devoted entirely to total least squares. The authors give a unified presentation of the TLS problem. A description of its basic principles are given, the various algebraic, statistical and sensitivity properties of the problem are discussed, and generalizations are presented. Applications are surveyed to facilitate uses in an even wider range of applications. Whenever possible, comparison is made with the well-known least squares methods. A basic knowledge of numerical linear algebra, matrix computations, and some notion of elementary statistics is required of the reader; however, some background material is included to make the book reasonably self-contained.

Matrix, Numerical, and Optimization Methods in Science and Engineering

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1108787622
Total Pages : 728 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Matrix, Numerical, and Optimization Methods in Science and Engineering by : Kevin W. Cassel

Download or read book Matrix, Numerical, and Optimization Methods in Science and Engineering written by Kevin W. Cassel and published by Cambridge University Press. This book was released on 2021-03-04 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: Address vector and matrix methods necessary in numerical methods and optimization of linear systems in engineering with this unified text. Treats the mathematical models that describe and predict the evolution of our processes and systems, and the numerical methods required to obtain approximate solutions. Explores the dynamical systems theory used to describe and characterize system behaviour, alongside the techniques used to optimize their performance. Integrates and unifies matrix and eigenfunction methods with their applications in numerical and optimization methods. Consolidating, generalizing, and unifying these topics into a single coherent subject, this practical resource is suitable for advanced undergraduate students and graduate students in engineering, physical sciences, and applied mathematics.

Data Analysis Using the Method of Least Squares

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Author :
Publisher : Springer
ISBN 13 : 9783540810162
Total Pages : 250 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Data Analysis Using the Method of Least Squares by : John Wolberg

Download or read book Data Analysis Using the Method of Least Squares written by John Wolberg and published by Springer. This book was released on 2009-09-02 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops the full power of the least-squares method Enables engineers and scientists to apply the method to their specific problem Deals with linear as well as with non-linear least-squares, parametric as well as non-parametric methods

Discovering Partial Least Squares with JMP

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Author :
Publisher : SAS Institute
ISBN 13 : 1629590924
Total Pages : 308 pages
Book Rating : 4.6/5 (295 download)

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Book Synopsis Discovering Partial Least Squares with JMP by : Ian Cox

Download or read book Discovering Partial Least Squares with JMP written by Ian Cox and published by SAS Institute. This book was released on 2013-10 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using JMP statistical discovery software from SAS, Discovering Partial Least Squares with JMP explores Partial Least Squares and positions it within the more general context of multivariate analysis. This book motivates current and potential users of JMP to extend their analytical repertoire by embracing PLS. Dynamically interacting with JMP, you will develop confidence as you explore underlying concepts and work through the examples. The authors provide background and guidance to support and empower you on this journey.

Subspace, Latent Structure and Feature Selection

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Publisher : Springer
ISBN 13 : 3540341382
Total Pages : 209 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Subspace, Latent Structure and Feature Selection by : Craig Saunders

Download or read book Subspace, Latent Structure and Feature Selection written by Craig Saunders and published by Springer. This book was released on 2006-05-24 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the PASCAL (pattern analysis, statistical modelling and computational learning) Statistical and Optimization Perspectives Workshop on Subspace, Latent Structure and Feature Selection techniques, SLSFS 2005. The 9 revised full papers presented together with 5 invited papers reflect the key approaches that have been developed for subspace identification and feature selection using dimension reduction techniques, subspace methods, random projection methods, among others.

Applied Regression Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0387227539
Total Pages : 660 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Applied Regression Analysis by : John O. Rawlings

Download or read book Applied Regression Analysis written by John O. Rawlings and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Least squares estimation, when used appropriately, is a powerful research tool. A deeper understanding of the regression concepts is essential for achieving optimal benefits from a least squares analysis. This book builds on the fundamentals of statistical methods and provides appropriate concepts that will allow a scientist to use least squares as an effective research tool. Applied Regression Analysis is aimed at the scientist who wishes to gain a working knowledge of regression analysis. The basic purpose of this book is to develop an understanding of least squares and related statistical methods without becoming excessively mathematical. It is the outgrowth of more than 30 years of consulting experience with scientists and many years of teaching an applied regression course to graduate students. Applied Regression Analysis serves as an excellent text for a service course on regression for non-statisticians and as a reference for researchers. It also provides a bridge between a two-semester introduction to statistical methods and a thoeretical linear models course. Applied Regression Analysis emphasizes the concepts and the analysis of data sets. It provides a review of the key concepts in simple linear regression, matrix operations, and multiple regression. Methods and criteria for selecting regression variables and geometric interpretations are discussed. Polynomial, trigonometric, analysis of variance, nonlinear, time series, logistic, random effects, and mixed effects models are also discussed. Detailed case studies and exercises based on real data sets are used to reinforce the concepts. The data sets used in the book are available on the Internet.

Budgeting Basics and Beyond

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Publisher : John Wiley & Sons
ISBN 13 : 0470454350
Total Pages : 450 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Budgeting Basics and Beyond by : Jae K. Shim

Download or read book Budgeting Basics and Beyond written by Jae K. Shim and published by John Wiley & Sons. This book was released on 2008-12-03 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: If the very thought of budgets pushes your sanity over the limit, then this practical, easy-to-use guide is just what you need. Budgeting Basics and Beyond, Third Edition equips you with an all-in-one resource guaranteed to make the budgeting process easier, less stressful, and more effective. Written by Jae Shim and Joel Siegel, the new edition covers Balanced Scorecard, budgeting for nonprofit organizations, business simulations for executive and management training, and much more!

Total Least Squares and Errors-in-Variables Modeling

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401735522
Total Pages : 389 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Total Least Squares and Errors-in-Variables Modeling by : S. van Huffel

Download or read book Total Least Squares and Errors-in-Variables Modeling written by S. van Huffel and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: In response to a growing interest in Total Least Squares (TLS) and Errors-In-Variables (EIV) modeling by researchers and practitioners, well-known experts from several disciplines were invited to prepare an overview paper and present it at the third international workshop on TLS and EIV modeling held in Leuven, Belgium, August 27-29, 2001. These invited papers, representing two-thirds of the book, together with a selection of other presented contributions yield a complete overview of the main scientific achievements since 1996 in TLS and Errors-In-Variables modeling. In this way, the book nicely completes two earlier books on TLS (SIAM 1991 and 1997). Not only computational issues, but also statistical, numerical, algebraic properties are described, as well as many new generalizations and applications. Being aware of the growing interest in these techniques, it is a strong belief that this book will aid and stimulate users to apply the new techniques and models correctly to their own practical problems.

Least-squares Analysis of Data with Unequal Subclass Numbers

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Publisher :
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Least-squares Analysis of Data with Unequal Subclass Numbers by : Walter Robert Harvey

Download or read book Least-squares Analysis of Data with Unequal Subclass Numbers written by Walter Robert Harvey and published by . This book was released on 1960 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Least-Squares Finite Element Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 0387689222
Total Pages : 669 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Least-Squares Finite Element Methods by : Pavel B. Bochev

Download or read book Least-Squares Finite Element Methods written by Pavel B. Bochev and published by Springer Science & Business Media. This book was released on 2009-04-28 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides researchers and practitioners with a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.