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Data Analysis and Approximate Models (Cód: 9533605)

Davies, Patrick Laurie

Taylor & Francis (Livros Digitais)

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Data Analysis and Approximate Models

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Descrição

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 'quot;true but unknown'quot; 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 variance (ANOVA)
Nonparametric regression, image analysis, and densities
Time series
Model choice


The book first highlights problems with concepts such as likelihood and efficiency and covers the definition of approximation and its consequences. A chapter on discrete data then presents the total variation metric as well as the Kullback-Leibler and chi-squared discrepancies as measures of fit. After focusing on outliers, the book discusses the location-scale problem, including approximation intervals, and gives a new treatment of higher-way ANOVA. The next several chapters describe novel procedures of nonparametric regression based on approximation. The final chapter assesses a range of statistical topics, from the likelihood principle to asymptotics and model choice.

Características

Peso 0.00 Kg
Produto sob encomenda Sim
Marca Taylor & Francis (Livros Digitais)
Número de Páginas 320 (aproximado)
Idioma 337
Acabamento e-book
Territorialidade Internacional
Formato Livro Digital Pdf
Gratuito Não
Proteção Drm Sim
Tamanho do Arquivo 14773
Início da Venda 07/07/2014
Código do Formato Pdf
Cód. Barras 9781482215878
Ano da Publicação 114
AutorDavies, Patrick Laurie