On the Foundations of Statistical Inference, I: Binary Experiments

Allan Birnbaum

ISBN 10: 1330258649 ISBN 13: 9781330258644

Editorial: Forgotten Books, 2018

Idioma: Ingl�s

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Descripci�n

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.

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Detalles bibliogr�ficos

T�tulo

On the Foundations of Statistical Inference, I: Binary Experiments

Editor

Forgotten Books

Fecha de publicaci�n

2018

Idioma

Ingl�s

ISBN 10

1330258649

ISBN 13

9781330258644

Encuadernaci�n

Paperback

Estado

New

Tipo de libro

print-on-demand item

Cat�logos de vendedores

Statistics

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Sinopsis

Excerpt from On the Foundations of Statistical Inference, I: Binary Experiments

This result is used, with standard frequency interpretations of probabilities, in an analysis of the foundations of statistical inference. This analysis establishes the likelihood function as the appropriate basis from.which statistical inferences can be made directly, for the familiar general purposes of informative inference. For the numerical values of the likelihood function, this analysis provides direct interpretations in terms of probabilities of errors. These probabilities admit frequency interpretations of the usual kind, but they are not in general defined with reference to the specific experiment from.which an outcome is obtained: they express intrinsic objective properties of the likelihood function itself, which this analysis shows to be appropriately relevant and directly useful for purposes of informative inference. The relations of this analysis of problems of informative inference to problems of testing statistical hypotheses, decision-making, conclusions, and Bayesian treatments of inference problems are discussed briefly.

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Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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Descripci�n de la librer�a

Forgotten Books? Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.

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