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Inferential Models : Reasoning with Uncertainty, Paperback / softback Book

Inferential Models : Reasoning with Uncertainty Paperback / softback

Part of the Chapman & Hall/CRC Monographs on Statistics and Applied Probability series

Paperback / softback

Description

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 meaningful prior-free probabilistic inference at a high level. The book covers the foundational motivations for this new IM approach, the basic theory behind its calibration properties, a number of important applications, and new directions for research.

It discusses alternative, meaningful probabilistic interpretations of some common inferential summaries, such as p-values.

It also constructs posterior probabilistic inferential summaries without a prior and Bayes’ formula and offers insight on the interesting and challenging problems of conditional and marginal inference.

This book delves into statistical inference at a foundational level, addressing what the goals of statistical inference should be.

It explores a new way of thinking compared to existing schools of thought on statistical inference and encourages you to think carefully about the correct approach to scientific inference.

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