Practical Least Square

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Least Squares Data Fitting with Applications

Author : Per Christian Hansen
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.

Practical Least Squares

Author : Ora Miner Leland
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Practical Least Squares by : Ora Miner Leland

Download or read book Practical Least Squares written by Ora Miner Leland and published by . This book was released on 1921 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Data Fitting and Uncertainty

Author : Tilo Strutz
Publisher : Springer Vieweg
ISBN 13 : 9783658114558
Total Pages : 0 pages
Book Rating : 4.1/5 (145 download)

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Book Synopsis Data Fitting and Uncertainty by : Tilo Strutz

Download or read book Data Fitting and Uncertainty written by Tilo Strutz and published by Springer Vieweg. This book was released on 2015-12-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of data fitting bridges many disciplines, especially those traditionally dealing with statistics like physics, mathematics, engineering, biology, economy, or psychology, but also more recent fields like computer vision. This book addresses itself to engineers and computer scientists or corresponding undergraduates who are interested in data fitting by the method of least-squares approximation, but have no or only limited pre-knowledge in this field. Experienced readers will find in it new ideas or might appreciate the book as a useful work of reference. Familiarity with basic linear algebra is helpful though not essential as the book includes a self-contained introduction and presents the method in a logical and accessible fashion. The primary goal of the text is to explain how data fitting via least squares works. The reader will find that the emphasis of the book is on practical matters, not on theoretical problems. In addition, the book enables the reader to design own software implementations with application-specific model functions based on the comprehensive discussion of several examples. The text is accompanied with working source code in ANSI-C for fitting with weighted least squares including outlier detection. Among others the book covers following topics * fitting of linear and nonlinear functions with one- or multi-dimensional variables * weighted least-squares * outlier detection * evaluation of the fitting results * different optimisation strategies * combined fitting of different model functions * total least-squares approach with multi-dimensional conditions

Understanding Least Squares Estimation and Geomatics Data Analysis

Author : John Olusegun Ogundare
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.

Advanced Kalman Filtering, Least-Squares and Modeling

Author : Bruce P. Gibbs
Publisher : John Wiley & Sons
ISBN 13 : 1118003160
Total Pages : 559 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Advanced Kalman Filtering, Least-Squares and Modeling by : Bruce P. Gibbs

Download or read book Advanced Kalman Filtering, Least-Squares and Modeling written by Bruce P. Gibbs and published by John Wiley & Sons. This book was released on 2011-03-29 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended primarily as a handbook for engineers who must design practical systems. Its primary goal is to discuss model development in sufficient detail so that the reader may design an estimator that meets all application requirements and is robust to modeling assumptions. Since it is sometimes difficult to a priori determine the best model structure, use of exploratory data analysis to define model structure is discussed. Methods for deciding on the “best” model are also presented. A second goal is to present little known extensions of least squares estimation or Kalman filtering that provide guidance on model structure and parameters, or make the estimator more robust to changes in real-world behavior. A third goal is discussion of implementation issues that make the estimator more accurate or efficient, or that make it flexible so that model alternatives can be easily compared. The fourth goal is to provide the designer/analyst with guidance in evaluating estimator performance and in determining/correcting problems. The final goal is to provide a subroutine library that simplifies implementation, and flexible general purpose high-level drivers that allow both easy analysis of alternative models and access to extensions of the basic filtering. Supplemental materials and up-to-date errata are downloadable at http://booksupport.wiley.com.

A Practical Guide to the Method of Least Squares

Author : Peter Cziffra
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Practical Guide to the Method of Least Squares by : Peter Cziffra

Download or read book A Practical Guide to the Method of Least Squares written by Peter Cziffra and published by . This book was released on 1958 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Practical Least Squares

Author : Ora Miner Leland
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (454 download)

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Book Synopsis Practical Least Squares by : Ora Miner Leland

Download or read book Practical Least Squares written by Ora Miner Leland and published by . This book was released on 1979 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solving Least Squares Problems

Author : Charles L. Lawson
Publisher : SIAM
ISBN 13 : 0898713560
Total Pages : 348 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Solving Least Squares Problems by : Charles L. Lawson

Download or read book Solving Least Squares Problems written by Charles L. Lawson and published by SIAM. This book was released on 1995-12-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Classic edition includes a new appendix which summarizes the major developments since the book was originally published in 1974. The additions are organized in short sections associated with each chapter. An additional 230 references have been added, bringing the bibliography to over 400 entries. Appendix C has been edited to reflect changes in the associated software package and software distribution method.

Practical Least Squares

Author : Ora Miner Leland
Publisher : Theclassics.Us
ISBN 13 : 9781230461946
Total Pages : 58 pages
Book Rating : 4.4/5 (619 download)

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Book Synopsis Practical Least Squares by : Ora Miner Leland

Download or read book Practical Least Squares written by Ora Miner Leland and published by Theclassics.Us. This book was released on 2013-09 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1921 edition. Excerpt: ...and that they be independent of one another, so that no one of them could be obtained by combining any of the others. If a dependent condition were included, by mistake, it would be indicated during the solution of the normal equations by a derived equation having all of its coefficients zero, or nearly so, so that the corresponding correlate would be indeterminate. The necessary number of independent angle and side equations will be given by formulas (107) and (124), namely, Number of Angle Equations = L'--S' + 1 (107) Number of Side Equations =L-2S +3 (124) in which L and S are the total numbers of lines and stations, and L' is the number of full lines and S' is the number of occupied stations. (For a station to be considered as occupied, at least two lines must be unbroken at that station.) The best method of writing the angle and side equations so as to be certain of their independence as well as their number, is to draw a sketch of the system or figure to be adjusted, adding one station at a time, with its lines to the previous stations, and writing the equations introduced by that station and those lines. For each station so added, there will be as many angle equations as new full lines, less one, and as many side equations as new lines, less two. As has been stated, small angles should be used in the side equations where practicable, although it is best to use each but once. In angle equations, on the contrary, they should be avoided. 1 These local conditions are avoided in the figure adjustment by using directions instead of angles, as will be shown later on. For example, the equations for Fig. 22, page 96, will be written. In this case, L = 13, L' =12, S = S' = 7, and there are six angle and two side equations. The complete...

Data Analysis Using the Method of Least Squares

Author : John Wolberg
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

Partial Least Squares Structural Equation Modeling (PLS-SEM) Using R

Author : Joseph F. Hair Jr.
Publisher : Springer Nature
ISBN 13 : 3030805190
Total Pages : 208 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Partial Least Squares Structural Equation Modeling (PLS-SEM) Using R by : Joseph F. Hair Jr.

Download or read book Partial Least Squares Structural Equation Modeling (PLS-SEM) Using R written by Joseph F. Hair Jr. and published by Springer Nature. This book was released on 2021-11-03 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial least squares structural equation modeling (PLS-SEM) has become a standard approach for analyzing complex inter-relationships between observed and latent variables. Researchers appreciate the many advantages of PLS-SEM such as the possibility to estimate very complex models and the method’s flexibility in terms of data requirements and measurement specification. This practical open access guide provides a step-by-step treatment of the major choices in analyzing PLS path models using R, a free software environment for statistical computing, which runs on Windows, macOS, and UNIX computer platforms. Adopting the R software’s SEMinR package, which brings a friendly syntax to creating and estimating structural equation models, each chapter offers a concise overview of relevant topics and metrics, followed by an in-depth description of a case study. Simple instructions give readers the “how-tos” of using SEMinR to obtain solutions and document their results. Rules of thumb in every chapter provide guidance on best practices in the application and interpretation of PLS-SEM.

A Practical Simplication of the Method of Least Square; a Lecture Given at the Galois Institute of Mathematics at Long Island University

Download A Practical Simplication of the Method of Least Square; a Lecture Given at the Galois Institute of Mathematics at Long Island University PDF Online Free

Author : Martin Andre Rosanoff
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis A Practical Simplication of the Method of Least Square; a Lecture Given at the Galois Institute of Mathematics at Long Island University by : Martin Andre Rosanoff

Download or read book A Practical Simplication of the Method of Least Square; a Lecture Given at the Galois Institute of Mathematics at Long Island University written by Martin Andre Rosanoff and published by . This book was released on 1935 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods for Least Squares Problems

Author : Ake Bjorck
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.

A Practical Simplication of the Method of Least Squares

Author : Martin André Rosanoff
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis A Practical Simplication of the Method of Least Squares by : Martin André Rosanoff

Download or read book A Practical Simplication of the Method of Least Squares written by Martin André Rosanoff and published by . This book was released on 1934 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Practical Simplification of the Method of Least Squares

Author : Martin André Rosanoff
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (1 download)

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Book Synopsis A Practical Simplification of the Method of Least Squares by : Martin André Rosanoff

Download or read book A Practical Simplification of the Method of Least Squares written by Martin André Rosanoff and published by . This book was released on 1929 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Partial Least Squares

Author : Vincenzo Esposito Vinzi
Publisher : Springer Science & Business Media
ISBN 13 : 3540328270
Total Pages : 791 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 791 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.

Practical Least Squares (Classic Reprint)

Author : Ora Miner Leland
Publisher :
ISBN 13 : 9781332179947
Total Pages : 254 pages
Book Rating : 4.1/5 (799 download)

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Book Synopsis Practical Least Squares (Classic Reprint) by : Ora Miner Leland

Download or read book Practical Least Squares (Classic Reprint) written by Ora Miner Leland and published by . This book was released on 2015-08-04 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Practical Least Squares This book results from the author's experience in teaching the subject of Least Squares and the Adjustment of Observations to classes of civil engineering students at Cornell University. As the time allotted to this work became more and more limited, the available textbooks became less adaptable to the scope of the course. To meet this condition, a series of chapters entitled "Notes on the Adjustment of Observations" was prepared and used as a text. With these notes as a basis, this book has been written. It is designed particularly for use in short courses of instruction and by engineers and scientists in connection with their private practice. It will not replace the more elaborate treatises on the subject but the author hopes that it will introduce the student directly to the simpler methods of solving the ordinary problems in adjustment. The plan of the work is essentially practical. After a general introduction devoted to a consideration of the character and occurrence of errors, the adjustment of direct, indirect, and conditioned observations is taken up in detail and illustrated by numerical applications to triangulation, leveling, astronomy, and the derivation of empirical formulas. Not until after this practical treatment of the determination of the best values of the unknown quantities is the precision of observations discussed, together with the computation of the mean square and probable errors of the observations and results. Finally, the principles of probability and the analytical derivation of the Law of Error are given in appendices. The utility of this arrangement should be obvious. By far the greater number of applications of Least Squares do not require a consideration of the precision of the results nor a knowledge of the mean square or probable errors. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.