BI Statistical Methods: Volume I: Foundations

by Peter Walley

In this ground-breaking work, Peter Walley constructs and justifies a radically rational theory of statistical inference. He derives, from fundamental principles, new statistical methods that are coherent and objective and correct crucial failings of standard methods. Volume 1 presents the foundations and the general theory of statistical inference. Volume 2 applies the theory to derive practical methods for analysing common types of statistical data. The book unifies the wide-ranging, highly original research produced by the author during 1980-2005, most of which has been unpublished until now. The methodology developed in the book provides a general, systematic and coherent way to analyse statistical problems. The methods apply to all kinds of statistical problem and all types of data; inference about parameters, predictive inference, and nonparametric inference; informative or uninformative prior models; point estimation, interval estimation, hypothesis testing, density estimation, and statistical decision problems. They also enable a unified treatment of robustness. The book should be of great interest to everyone who uses or studies statistical inference. The results have profound implications for a wide range of disciplines in which statistical methods are important, including econometrics, decision theory, inductive logic, philosophy of science, psychology, and clinical trials.

• Format: Hardcover
• Language: English
• ISBN: 099443961X
• ISBN13: 9780994439611
• Release Date: December 2015
• Publisher: Prescience Press
• Length: 442 Pages
• Weight: 2.18 lbs.
• Dimensions: 1.0" x 7.0" x 10.0"
• Grade Range: Postsecondary