The Logical Foundations of Statistical Interference: 65 - Brossura

Kyburg Jr., Henry E.

Brossura

ISBN 10: 9027704309 ISBN 13: 9789027704306

Casa editrice: Springer, 2009

Riassunto

Everyone knows it is easy to lie with statistics. It is important then to be able to tell a statistical lie from a valid statistical inference. It is a relatively widely accepted commonplace that our scientific knowledge is not certain and incorrigible, but merely probable, subject to refinement, modifi­ cation, and even overthrow. The rankest beginner at a gambling table understands that his decisions must be based on mathematical ex­ pectations - that is, on utilities weighted by probabilities. It is widely held that the same principles apply almost all the time in the game of life. If we turn to philosophers, or to mathematical statisticians, or to probability theorists for criteria of validity in statistical inference, for the general principles that distinguish well grounded from ill grounded generalizations and laws, or for the interpretation of that probability we must, like the gambler, take as our guide in life, we find disagreement, confusion, and frustration. We might be prepared to find disagreements on a philosophical and theoretical level (although we do not find them in the case of deductive logic) but we do not expect, and we may be surprised to find, that these theoretical disagreements lead to differences in the conclusions that are regarded as 'acceptable' in the practice of science and public affairs, and in the conduct of business.

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Contenuti

I / The Probability Framework.- II / Classical Statistical Theory.- III / R. A. Fisher: Likelihood and Fiducial Inference.- IV / Decision Theory.- V / Subjective and Logical Approaches.- VI / Comparison of Approaches.- VII / The Language: Syntax.- VIII / Rational Corpora.- IX / Randomness.- X / Probability.- XI / Conditional Probability.- XII / Interpretations of Probability.- XIII / Bayesian Inference.- XIV / The Fiducial Argument.- XV / Confidence Methods.- XVI / Epistemological Considerations.- Appendix / The Mathematical Background.

Product Description

Book by Kyburg Jr Henry E

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 9027704309
• ISBN 13: 9789027704306
• Rilegatura: Copertina flessibile
• Numero di pagine: 444
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania