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Data Fitting And Uncertainty

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Data Fitting And Uncertainty

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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

Data Fitting And Uncertainty

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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.

Curve Fitting And Uncertainty Analysis Of Charpy Impact Data

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Author : Friedemann Stallmann
language : en
Publisher:
Release Date : 1982

Curve Fitting And Uncertainty Analysis Of Charpy Impact Data written by Friedemann Stallmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Nuclear pressure vessels categories.

Experimentation And Uncertainty Analysis For Engineers

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Author : Hugh W. Coleman
language : en
Publisher: John Wiley & Sons
Release Date : 1999

Experimentation And Uncertainty Analysis For Engineers written by Hugh W. Coleman 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 1999 with Psychology categories.

Now, in the only manual available with direct applications to the design and analysis of engineering experiments, respected authors Hugh Coleman and Glenn Steele have thoroughly updated their bestselling title to include the new methodologies being used by the United States and International standards committee groups.

Measurements And Their Uncertainties

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Author : Ifan Hughes
language : en
Publisher: Oxford University Press
Release Date : 2010-07

Measurements And Their Uncertainties written by Ifan Hughes and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07 with Mathematics categories.

This short guide to modern error analysis is primarily intended to be used in undergraduate laboratories in the physical sciences. No prior knowledge of statistics is assumed. The necessary concepts are introduced where needed and illustrated graphically. The book emphasises the use of computers for error calculations and data fitting.

Measurement Uncertainty

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Author : Ronald H. Dieck
language : en
Publisher: ISA
Release Date : 2007

Measurement Uncertainty written by Ronald H. Dieck and has been published by ISA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

Literally an entire course between two covers, Measurement Uncertainty: Methods and Applications, Fourth Edition, presents engineering students with a comprehensive tutorial of measurement uncertainty methods in a logically categorized and readily utilized format. The new uncertainty technologies embodied in both U.S. and international standards have been incorporated into this text with a view toward understanding the strengths and weaknesses of both. The book is designed to also serve as a practical desk reference in situations that commonly confront an experimenter. The text presents the basics of the measurement uncertainty model, non-symmetrical systematic standard uncertainties, random standard uncertainties, the use of correlation, curve-fitting problems, and probability plotting, combining results from different test methods, calibration errors, and uncertainty propagation for both independent and dependent error sources. The author draws on years of experience in industry to direct special attention to the problem of developing confidence in uncertainty analysis results and using measurement uncertainty to select instrumentation systems.

Measurement Uncertainties

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Author : S. V. Gupta
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-13

Measurement Uncertainties written by S. V. Gupta 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 2012-01-13 with Technology & Engineering categories.

This book fulfills the global need to evaluate measurement results along with the associated uncertainty. In the book, together with the details of uncertainty calculations for many physical parameters, probability distributions and their properties are discussed. Definitions of various terms are given and will help the practicing metrologists to grasp the subject. The book helps to establish international standards for the evaluation of the quality of raw data obtained from various laboratories for interpreting the results of various national metrology institutes in an international inter-comparisons. For the routine calibration of instruments, a new idea for the use of pooled variance is introduced. The uncertainty calculations are explained for (i) independent linear inputs, (ii) non-linear inputs and (iii) correlated inputs. The merits and limitations of the Guide to the Expression of Uncertainty in Measurement (GUM) are discussed. Monte Carlo methods for the derivation of the output distribution from the input distributions are introduced. The Bayesian alternative for calculation of expanded uncertainty is included. A large number of numerical examples is included.

Introduction To Statistics In Metrology

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Author : Stephen Crowder
language : en
Publisher: Springer Nature
Release Date : 2020-11-30

Introduction To Statistics In Metrology written by Stephen Crowder and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-30 with Mathematics categories.

This book provides an overview of the application of statistical methods to problems in metrology, with emphasis on modelling measurement processes and quantifying their associated uncertainties. It covers everything from fundamentals to more advanced special topics, each illustrated with case studies from the authors' work in the Nuclear Security Enterprise (NSE). The material provides readers with a solid understanding of how to apply the techniques to metrology studies in a wide variety of contexts. The volume offers particular attention to uncertainty in decision making, design of experiments (DOEx) and curve fitting, along with special topics such as statistical process control (SPC), assessment of binary measurement systems, and new results on sample size selection in metrology studies. The methodologies presented are supported with R script when appropriate, and the code has been made available for readers to use in their own applications. Designed to promote collaboration between statistics and metrology, this book will be of use to practitioners of metrology as well as students and researchers in statistics and engineering disciplines.

The Uncertainty In Physical Measurements

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Author : Paolo Fornasini
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-18

The Uncertainty In Physical Measurements written by Paolo Fornasini 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 2008-09-18 with Technology & Engineering categories.

The scienti c method is based on the measurement of di erent physical qu- tities and the search for relations between their values. All measured values of physical quantities are, however, a ected by uncertainty. Understanding the origin of uncertainty, evaluating its extent, and suitably taking it into account in data analysis, are fundamental steps for assessing the global accuracy of physical laws and the degree of reliability of their technological applications. The introduction to uncertainty evaluation and data analysis procedures is generally made in laboratory courses for freshmen. During my long-lasting teaching experience, I had the feeling of some sort of gap between the ava- able tutorial textbooks, and the specialized monographs. The present work aims at lling this gap, and has been tested and modi ed through a feedback interaction with my students for several years. I have tried to maintain as much as possible a tutorial approach, that, starting from a phenomenolo- cal introduction, progressively leads to an accurate de nition of uncertainty and to some of the most common procedures of data analysis, facilitating the access to advanced monographs. This book is mainly addressed to - dergraduate students, but can be a useful reference for researchers and for secondary school teachers. The book is divided into three parts and a series of appendices. Part I is devoted to a phenomenological introduction to measurement and uncertainty. In Chap.

Metrology And Measurement Uncertainty

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Author : Pedro Paulo Novellino do Rosario
language : en
Publisher: Springer Nature
Release Date : 2025-04-30

Metrology And Measurement Uncertainty written by Pedro Paulo Novellino do Rosario and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-30 with Technology & Engineering categories.

This book presents in a clear, didactic, and straightforward manner, the concepts, tools and technical terminology needed to understand metrological issues in industry and laboratories. Using examples of calibration and detailed critical analysis of the certificates, the book explores metrology and measurement uncertainty, both concepts and applications; mathematical foundations, statistical tools, techniques, practices, and the operational procedures that make up metrology. The text is based on the most recent editions of the International Vocabulary of Metrology, the International System of Units and the Guide to the Expression of Measurement Uncertainty.

Data Fitting And Uncertainty

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