Circular and Linear Regression: Fitting Circles and Lines by Least Squares

Author:   Nikolai Chernov
Publisher:   Taylor & Francis Ltd
ISBN:  

9780367577179


Pages:   286
Publication Date:   30 June 2020
Format:   Paperback
Availability:   In Print   Availability explained
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Circular and Linear Regression: Fitting Circles and Lines by Least Squares


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Author:   Nikolai Chernov
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Weight:   0.580kg
ISBN:  

9780367577179


ISBN 10:   0367577178
Pages:   286
Publication Date:   30 June 2020
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

"Introduction and Historic Overview. Fitting Lines. Fitting Circles: Theory. Geometric Circle Fits. Algebraic Circle Fits. Statistical Analysis of Curve Fits. Statistical Analysis of Circle Fits. Various ""Exotic"" Circle Fits. Bibliography. Index."

Reviews

Overall, the book provides an excellent reference for those interested in the geometric, algebraic, and numerical aspects of fitting lines, curves, and circles to data. It gives an insightful discussion of the geometric and algebraic aspects of measurement error models and provides a thorough discussion of the various algorithms for fitting such models to data, by offering advice and comparisons concerning their strengths and weaknesses under different circumstances. —Journal of the American Statistical Association, 2012 … the book contains useful insights and will be of benefit to those interested in the theoretical aspects of fitting lines and circles to data. Some mathematical background is assumed by the author, but the book is written excellently and the exposition is clearly structured. The book is unique in the way that it has brought together a variety of topics into one volume of work. I would recommend that statisticians who are interested in measurement error models, and those who are interested in fitting circles to data (such as those working in computer vision) at the very least investigate this book. —Journal of the Royal Statistical Society: Series A, July 2011


Overall, the book provides an excellent reference for those interested in the geometric, algebraic, and numerical aspects of fitting lines, curves, and circles to data. It gives an insightful discussion of the geometric and algebraic aspects of measurement error models and provides a thorough discussion of the various algorithms for fitting such models to data, by offering advice and comparisons concerning their strengths and weaknesses under different circumstances. -Journal of the American Statistical Association, 2012 ... the book contains useful insights and will be of benefit to those interested in the theoretical aspects of fitting lines and circles to data. Some mathematical background is assumed by the author, but the book is written excellently and the exposition is clearly structured. The book is unique in the way that it has brought together a variety of topics into one volume of work. I would recommend that statisticians who are interested in measurement error models, and those who are interested in fitting circles to data (such as those working in computer vision) at the very least investigate this book. -Journal of the Royal Statistical Society: Series A, July 2011


Author Information

Nikolai Chernov is a professor of mathematics at the University of Alabama at Birmingham.

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