ABSTRACT

A New Approach to Sound Statistical ReasoningInferential Models: Reasoning with Uncertainty introduces the authors' recently developed approach to inference: the inferential model (IM) framework. This logical framework for exact probabilistic inference does not require the user to input prior information. The authors show how an IM produces meaning

chapter 1|24 pages

Preliminaries

chapter 2|20 pages

Prior-Free Probabilistic Inference

chapter 3|6 pages

Two Fundamental Principles

chapter 4|28 pages

Inferential Models

chapter 5|26 pages

Predictive Random Sets

chapter 6|20 pages

Conditional Inferential Models

chapter 7|20 pages

Marginal Inferential Models

chapter 8|16 pages

Normal Linear Models

chapter 9|20 pages

Prediction of Future Observations

chapter 11|28 pages

Generalized Inferential Models

chapter 12|8 pages

Future Research Topics