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

Boca Raton: CRC Press, 2014. — 300 p. — ISBN: 978-1-4822-1587-8.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.A Concept of Approximation
Discrete Models
Outliers
The Location-scale Problem
The Analysis of Variance
Non-parametric Regression: Location
Non-parametric Regression: Scale
Image Analysis
Non-parametric Densities
A Critique of Statistics