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On the Foundations of Statistical Inference, I: Binary Experiments (Classic Reprint) - Softcover

 
9781330258644: On the Foundations of Statistical Inference, I: Binary Experiments (Classic Reprint)

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This book explores how statistical inference problems can be solved directly from the likelihood functions of binary experiments, providing interpretations of their numerical values in terms of probabilities of committing various types of errors. It establishes the likelihood function as the primary, sufficient basis for making inferences and presents a novel analysis of problems of informative inference, which are usually formulated in terms of hypothesis testing and decision making. The book argues that evidential interpretations of outcomes in terms of supporting or refuting specific statistical hypotheses are not only valid but necessary for understanding the role of statistical experiments in empirical research. By focusing on the likelihood function and its properties, the author provides a fresh perspective on the foundations of statistical inference that challenges the dominance of hypothesis testing in statistical practice. This book will be of interest to statisticians, philosophers of science, and anyone interested in the foundations of statistical inference, particularly as it relates to problems of informative inference.

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Allan Birnbaum
Published by Forgotten Books, 2018
ISBN 10: 1330258649 ISBN 13: 9781330258644
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Paperback. Condition: New. Print on Demand. This book explores how statistical inference problems can be solved directly from the likelihood functions of binary experiments, providing interpretations of their numerical values in terms of probabilities of committing various types of errors. It establishes the likelihood function as the primary, sufficient basis for making inferences and presents a novel analysis of problems of informative inference, which are usually formulated in terms of hypothesis testing and decision making. The book argues that evidential interpretations of outcomes in terms of supporting or refuting specific statistical hypotheses are not only valid but necessary for understanding the role of statistical experiments in empirical research. By focusing on the likelihood function and its properties, the author provides a fresh perspective on the foundations of statistical inference that challenges the dominance of hypothesis testing in statistical practice. This book will be of interest to statisticians, philosophers of science, and anyone interested in the foundations of statistical inference, particularly as it relates to problems of informative inference. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330258644_0

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Allan Birnbaum
Published by Forgotten Books, 2018
ISBN 10: 1330258649 ISBN 13: 9781330258644
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330258644

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Allan Birnbaum
Published by Forgotten Books, 2018
ISBN 10: 1330258649 ISBN 13: 9781330258644
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330258644

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