Least Squares Data Fitting With Applications
DOWNLOAD eBooks
Download Least Squares Data Fitting With Applications PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Least Squares Data Fitting With Applications book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Least Squares Data Fitting With Applications
DOWNLOAD eBooks
Author : Per Christian Hansen
language : en
Publisher: JHU Press
Release Date : 2013-01-15
Least Squares Data Fitting With Applications written by Per Christian Hansen and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-15 with Mathematics categories.
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.
A Least Squares Curve Fitting Method With Applications To The Calculation Of Stability Coefficients From Transient Response Data
DOWNLOAD eBooks
Author : Marvin Shinbrot
language : en
Publisher:
Release Date : 1951
A Least Squares Curve Fitting Method With Applications To The Calculation Of Stability Coefficients From Transient Response Data written by Marvin Shinbrot and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1951 with Differential equations, Linear categories.
A least-squares method for calculating coefficients from a linear differential equation directly from transient-response data is presented. Examples illustrating the application of the method to the calculation of aircraft-stability parameters from the airplane response of an elevator deflection are given.
Data Fitting In The Chemical Sciences
DOWNLOAD eBooks
Author : Peter Gans
language : en
Publisher: John Wiley & Sons
Release Date : 1992-07-27
Data Fitting In The Chemical Sciences written by Peter Gans and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-07-27 with Mathematics categories.
Data Fitting in the Chemical Sciences Peter Gans, School of Chemistry, The University of Leeds, Leeds, UK Data fitting is a technique of central importance in modern experimental science. It is the means by which data is tested against a model of the experimental system, be it a theoretical or empirical model. In this book an all-round approach is adopted in which the first stage of data-fitting is seen as data collection, the second is numerical processing and the third a critical evaluation of the 'goodness' of fit in both statistical and common sense terms. Each stage is considered in detail: the sources and nature of experimental errors; the theory of least-squares fitting; probability theory; hypothesis testing, and the application of scientific criteria. The theory is complemented by three chapters on a wide range of applications. The emphasis of this book is on methodology: why certain procedures are preferred rather than how any one procedure is implemented. The author aims to assist people in extracting from their data its full information content, i.e. to use their data, not abuse it.
Data Fitting And Uncertainty
DOWNLOAD eBooks
Author : Tilo Strutz
language : en
Publisher: Springer Vieweg
Release Date : 2015-12-16
Data Fitting And Uncertainty written by Tilo Strutz and has been published by Springer Vieweg this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-16 with Technology & Engineering categories.
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
General Principles Of The Method Of Least Squares
DOWNLOAD eBooks
Author : Dana Prescott Bartlett
language : en
Publisher: Kessinger Publishing
Release Date : 2008-10-01
General Principles Of The Method Of Least Squares written by Dana Prescott Bartlett and has been published by Kessinger Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-01 with Law categories.
This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
Exponential Data Fitting And Its Applications
DOWNLOAD eBooks
Author : Victor Pereyra
language : en
Publisher: Bentham Science Publishers
Release Date : 2010
Exponential Data Fitting And Its Applications written by Victor Pereyra and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computers categories.
"Real and complex exponential data fitting is an important activity in many different areas of science and engineering, ranging from Nuclear Magnetic Resonance Spectroscopy and Lattice Quantum Chromodynamics to Electrical and Chemical Engineering, Vision a"
Fitting Equations To Data
DOWNLOAD eBooks
Author : Cuthbert Daniel
language : en
Publisher: Wiley-Interscience
Release Date : 1980-04-25
Fitting Equations To Data written by Cuthbert Daniel and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-04-25 with Mathematics categories.
Helps any serious data analyst with a computer to recognize the strengths and limitations of data, to test the assumptions implicit in the least squares methods used to fit the data, to select appropriate forms of the variables, to judge which combinations of variables are most influential, and to state the conditions under which the fitted equations are applicable. This edition includes numerous extensions and new devices such as component and component-plus-residual plots, cross verification with a second sample, and an index of required x-precision; also, the search for better subset equations is enlarged to cover 262,144 alternatives. The methods described have been applied in agricultural, environmental, management, marketing, medical, physical, and social sciences. Mathematics is kept to the level of college algebra.
Data Fitting And Uncertainty
DOWNLOAD eBooks
Author : Tilo Strutz
language : en
Publisher: Vieweg+Teubner Verlag
Release Date : 2010-09-30
Data Fitting And Uncertainty written by Tilo Strutz and has been published by Vieweg+Teubner Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-30 with Technology & Engineering categories.
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
Data Analysis Using The Method Of Least Squares
DOWNLOAD eBooks
Author : John Wolberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-08
Data Analysis Using The Method Of Least Squares written by John Wolberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-08 with Mathematics categories.
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
Total Least Squares And Errors In Variables Modeling
DOWNLOAD eBooks
Author : S. van Huffel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Total Least Squares And Errors In Variables Modeling written by S. van Huffel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
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.