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

 
9780265564752: On the Foundations of Statistical Inference, I: Binary Experiments (Classic Reprint)

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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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Allan Birnbaum
Published by Forgotten Books, 2018
ISBN 10: 0265564751 ISBN 13: 9780265564752
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Allan Birnbaum
Published by Forgotten Books, 2018
ISBN 10: 0265564751 ISBN 13: 9780265564752
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