Statistical Inference Book by Niels Keiding - Bookswagon
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Statistical Inference

Statistical Inference


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About the Book

Filling a gap in current Bayesian theory, Statistical Inference: An Integrated Bayesian/Likelihood Approach presents a unified Bayesian treatment of parameter inference and model comparisons that can be used with simple diffuse prior specifications. This novel approach provides new solutions to difficult model comparison problems and offers direct Bayesian counterparts of frequentist t-tests and other standard statistical methods for hypothesis testing.

After an overview of the competing theories of statistical inference, the book introduces the Bayes/likelihood approach used throughout. It presents Bayesian versions of one- and two-sample t-tests, along with the corresponding normal variance tests. The author then thoroughly discusses the use of the multinomial model and noninformative Dirichlet priors in model-free or nonparametric Bayesian survey analysis, before covering normal regression and analysis of variance. In the chapter on binomial and multinomial data, he gives alternatives, based on Bayesian analyses, to current frequentist nonparametric methods. The text concludes with new goodness-of-fit methods for assessing parametric models and a discussion of two-level variance component models and finite mixtures.

Emphasizing the principles of Bayesian inference and Bayesian model comparison, this book develops a unique methodology for solving challenging inference problems. It also includes a concise review of the various approaches to inference.


About the Author:

Murray Aitkin is an honorary professorial fellow in the Department of Mathematics and Statistics at the University of Melbourne in Australia.


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Product Details
  • ISBN-13: 9780367383947
  • Publisher: Taylor and Francis
  • Publisher Imprint: CRC Press
  • Height: 231 mm
  • No of Pages: 254
  • Series Title: CRC Monographs on Statistics & Applied Probability (Hardcover)
  • Sub Title: An Integrated Bayesian/Likelihood Approach
  • Width: 155 mm
  • ISBN-10: 0367383942
  • Publisher Date: 05 Sep 2019
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Spine Width: 15 mm
  • Weight: 412 gr


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