A Practical Guide to the Method of Least Squares PDF Download

Author: Peter Cziffra
Publisher:
ISBN:
Category : Curve fitting
Languages : en
Pages : 26

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Book Description

Author: Tilo Strutz
Publisher: Springer Vieweg
ISBN: 9783658114558
Category : Technology & Engineering
Languages : en
Pages : 0

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Book Description
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

Author: Mansfield Merriman
Publisher:
ISBN:
Category : Least squares
Languages : en
Pages : 214

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Author: Martin André Rosanoff
Publisher:
ISBN:
Category : Least squares
Languages : en
Pages : 24

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Author: Ora Miner Leland
Publisher:
ISBN:
Category : Least squares
Languages : en
Pages : 264

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Book Description

Author: Dana Prescott Bartlett
Publisher: Forgotten Books
ISBN: 9780365326960
Category : Mathematics
Languages : en
Pages : 162

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Book Description
Excerpt from General Principles of the Method of Least Squares: With Applications In order that this curve may represent exactly the distri bution of the errors in any given series of observations it ought to meet the axis of X at some definite distance to the right and left of the origin and coincide with the axis from there on, for in all actual observations there is a limit beyond which no errors occur. But as the exact point of meeting could not be determined for any given case, and as it would not be possible to obtain the equation of such a curve, we make it asymptotic to the axis of. X, taking care that the error thus introduced shall in any set of observations be so small as to be negligible. 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.

Author: Willie Chee Keong Tan
Publisher: World Scientific
ISBN: 9811256950
Category : Science
Languages : en
Pages : 312

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Book Description
Research Methods: A Practical Guide for Students and Researchers is a practical guide on how to conduct research systematically and professionally. The book begins by distinguishing between causal and interpretive sciences. It then guides the reader on how to formulate the research question, review the literature, develop the hypothesis or framework, select a suitable research methodology, and analyze both quantitative and qualitative data.The book uses classic examples as exemplars. It also uses many examples from different disciplines and sectors to demonstrate and showcase the inter-connections and wider applications of research tools.The book emphasizes integration. It does not merely provide a smorgasbord of research designs, data collection methods, and ways to analyze data. Instead, it shows how one could formulate research strategies given the outcomes the researchers are required or tasked to deliver.The revised edition includes three new chapters on time series (including spatial models), machine learning, and meta-analysis. In addition, existing chapters have been expanded to include more examples, digital research, and new material.

Author: Paul Gemperline
Publisher: CRC Press
ISBN: 1420018302
Category : Mathematics
Languages : en
Pages : 552

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Book Description
The limited coverage of data analysis and statistics offered in most undergraduate and graduate analytical chemistry courses is usually focused on practical aspects of univariate methods. Drawing in real-world examples, Practical Guide to Chemometrics, Second Edition offers an accessible introduction to application-oriented multivariate meth

Author: Mansfield Merriman
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description

Author: Stephen Boyd
Publisher: Cambridge University Press
ISBN: 1316518965
Category : Business & Economics
Languages : en
Pages : 477

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Book Description
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.