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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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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781330258644
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781330258644
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On the Foundations of Statistical Inference, I: Binary Experiments
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Paperback. Condizione: 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. Codice articolo 9781330258644_0
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