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A New Approach to Sound Statistical Reasoning

Inferential 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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Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Applied mathematics

• Celý názov: Inferential Models
• Autor: Chuanhai Liu, Ryan Martin
• Jazyk: Angličtina
• Väzba: Pevná
• Počet strán: 256
• EAN: 9781439886489
• ISBN: 9781439886489
• ID: 10780632
• Nakladateľ: Taylor & Francis Inc
• Hmotnosť: 590 g
• Rozmery: 165 × 241 × 21 mm
• Dátum vydania: 25. September 2015

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