Data Analysis and Approximate Models

Model Choice, Location-Scale, Analysis of Variance, Nonparametric Regression and Image Analysis

By: Patrick Laurie Davies

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eText | 7 July 2014 | Edition Number 1

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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