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portada Inferential Models: Reasoning with Uncertainty
Type
Physical Book
Publisher
Language
English
Pages
256
Format
Hardcover
Dimensions
23.6 x 16.0 x 2.0 cm
Weight
0.54 kg.
ISBN13
9781439886489

Inferential Models: Reasoning with Uncertainty

Ryan Martin (Author) · Chuanhai Liu (Author) · CRC Press · Hardcover

Inferential Models: Reasoning with Uncertainty - Martin, Ryan ; Liu, Chuanhai

Physical Book

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Synopsis "Inferential Models: Reasoning with Uncertainty"

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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