Visualizing Statistical Models and Concepts

Examines classic algorithms, geometric diagrams, and mechanical principles for enhancing visualization of statistical estimation procedures and mathematical concepts in physics, engineering, and computer programming.

List of contents

1. Introduction 2. Abstract Geometrical and Mechanical Representations 3. Mechanical Models for Multidimensional Medians 4. Method of Least Squared Deviations 5. Method of Least Absolute Deviation 6. Minimax Absolute Deviation Method 7. Method of Least Median of Squared Deviations 8. Mechanical Models for Metric Graphs 9. Categorical Data Analysis 10. Method of Averages and Curve Fitting by Splines 11. Multivariate Generalisations of the Method of Least Squares

About the author

Farebrother\, R.W.; Schyns\, Michael

Summary

In this book, the author finds that many of the important concepts of mathematical statistics can be associated with physical models; and that the optimality criteria of statistical estimation procedures can often be interpreted in terms of the concept of potential energy.

Product details

• Authors: R W Farebrother, R. W. Farebrother, R.W. Farebrother, R.w. (University of Manchester) Schyn Farebrother, R.w. Schyns Farebrother, Michael Schyns
• Assisted by: William R Schucany (Editor), William R. Schucany (Editor of the series)
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 31.12.2019
• EAN: 9780367447052
• ISBN: 978-0-367-44705-2
• No. of pages: 272
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics