ABSTRACT

This book provides an overview of recent work on developing a theory of statistical inference based on measuring statistical evidence. It attempts to establish a gold standard for how a statistical analysis should proceed. The book illustrates relative belief theory using many examples and describes the strengths and weaknesses of the theory. The author also addresses fundamental statistical issues, including the meaning of probability, the role of subjectivity, the meaning of objectivity, and the role of infinity and continuity.

chapter 1|26 pages

Statistical Problems

chapter 2|24 pages

Probability

chapter 3|44 pages

Characterizing Statistical Evidence

chapter 5|44 pages

Choosing and Checking the Model and Prior

chapter 6|4 pages

Conclusions