ABSTRACT

The First Detailed Account of Statistical Analysis That Treats Models as ApproximationsThe idea of truth plays a role in both Bayesian and frequentist statistics. The Bayesian concept of coherence is based on the fact that two different models or parameter values cannot both be true. Frequentist statistics is formulated as the problem of estimating

chapter |2 pages

Title

chapter 1|22 pages

Introduction

chapter 2|40 pages

A Concept of Approximation

chapter 3|22 pages

Discrete Models

chapter 4|12 pages

Outliers

chapter 5|36 pages

The Location-scale Problem

chapter 6|34 pages

The Analysis of Variance

chapter 7|46 pages

Non-parametric Regression: Location

chapter 8|24 pages

Non-parametric Regression: Scale

chapter 9|10 pages

Image Analysis

chapter 10|10 pages

Non-parametric Densities

chapter 11|28 pages

A Critique of Statistics