Statistical Inference: An Integrated Bayesian/likelihood Approach

September 7, 2019|
Statistical Inference: An Integrated Bayesian/likelihood Approach by Murray Aitkin
$107.95 save 6%
Earn 504 plum® points
Buy Online
Ship to an address
Free shipping on orders over $35
Pick up in store
To see if pickup is available,
Buy In Store
Not sold in stores
Prices and offers may vary in store


Filling a gap in current Bayesian theory,Statistical Inference: An Integrated Bayesian/Likelihood Approachpresents 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 frequentistt-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-samplet-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.

Murray Aitkinis an honorary professorial fellow in the Department of Mathematics and Statistics at the University of Melbourne in Australia.
Title:Statistical Inference: An Integrated Bayesian/likelihood Approach
Product dimensions:254 pages, 9.21 X 6.14 X 0 in
Shipping dimensions:254 pages, 9.21 X 6.14 X 0 in
Published:September 7, 2019
Appropriate for ages:All ages
ISBN - 13:9780367383947

Recently Viewed