Data analysis and approximate models: model choice, location-scale, analysis of variance, nonparametic regression and image analysis

✍ Scribed by Davies, Patrick Laurie

• Publisher: Chapman & Hall/CRC
• Year: 2014
• Tongue: English
• Leaves: 318
• Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability
• Category: Library

✦ Synopsis

Front Cover; Contents; Preface; Data Analysis and Approximate Models: Model Choice, Location-Scale, Analysis of Variance, Nonparametric Regression and Image Analysis; Chapter 1: Introduction; Chapter 2: A Concept of Approximation; Chapter 3: Discrete Models; Chapter 4: Outliers; Chapter 5: The Location-scale Problem; Chapter 6: The Analysis of Variance; Chapter 7: Non-parametric Regression: Location; Chapter 8: Non-parametric Regression: Scale; Chapter 9: Image Analysis; Chapter 10: Non-parametric Densities; Chapter 11: A Critique of Statistics; Bibliography.;"This book presents a philosophical study of statistics via the concept of data approximation. Developed by the well-regarded author, this approach discusses how analysis must take into account that models are, at best, an approximation of real data. It is, therefore, closely related to robust statistics and nonparametric statistics and can be used to study nearly any statistical technique. The book also includes an interesting discussion of the frequentist versus Bayesian debate in statistics."--

✦ Table of Contents

Front Cover......Page 1
Contents......Page 8
Preface......Page 14
Data Analysis and Approximate Models: Model Choice, Location-Scale, Analysis of Variance, Nonparametric Regression and Image Analysis......Page 18
Chapter 1: Introduction......Page 20
Chapter 2: A Concept of Approximation......Page 42
Chapter 3: Discrete Models......Page 82
Chapter 4: Outliers......Page 104
Chapter 5: The Location-scale Problem......Page 116
Chapter 6: The Analysis of Variance......Page 152
Chapter 7: Non-parametric Regression: Location......Page 186
Chapter 8: Non-parametric Regression: Scale......Page 232
Chapter 9: Image Analysis......Page 256
Chapter 10: Non-parametric Densities......Page 266
Chapter 11: A Critique of Statistics......Page 276
Bibliography......Page 304

✦ Subjects

Approximation theory;MATHEMATICS--Applied;MATHEMATICS--Probability & Statistics--General;Probabilities--Philosophy;Electronic books;Probabilities -- Philosophy;MATHEMATICS -- Applied;MATHEMATICS -- Probability & Statistics -- General