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Data Analysis and Approximate Models

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

Chapman & Hall/CRC Monographs on Statistics and Ap
Data Analysis and Approximate Models
Data Analysis and Approximate Models
  • Forfatter: Patrick Laurie (University of Duisburg-Essen Germany) Davies
  • Format: Innbundet
  • Antall sider: 320
  • Språk: Engelsk
  • Forlag/Utgiver: SD Books
  • Serienavn: Chapman & Hall/CRC Monographs on Statistics and Ap
  • EAN: 9781482215861
  • Utgivelsesår: 2014
  • Bidragsyter: Davies, Patrick Laurie (University of Duisburg-Essen, Germany)
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The First Detailed Account of Statistical Analysis That Treats Models as Approximations

The 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 the "true but unknown" parameter value that generated the data.

Forgoing any concept of truth, Data Analysis and Approximate Models: Model Choice, Location-Scale, Analysis of Variance, Nonparametric Regression and Image Analysis presents statistical analysis/inference based on approximate models. Developed by the author, this approach consistently treats models as approximations to data, not to some underlying truth.

The author develops a concept of approximation for probability models with applications to:

  • Discrete data
  • Location scale
  • Analysis of varia