Inference, Method and Decision

Name: Inference, Method and Decision
Brand: Springer
SKU: 9789027708182
Price: 38537 HUF
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Towards a Bayesian Philosophy of Science

Szerző: R.D. Rosenkrantz

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer

Elérhetőség: Beszállítói készleten

Küldés 5-8 napon belül

38 537 Ft

This book grew out of previously published papers of mine composed over a period of years; they have...

Információk a könyvről

Szerző

R.D. Rosenkrantz

Nyelv

Angol

Kötés

Könyv - Puha kötésű

oldal

270

EAN

9789027708182

ISBN

9027708185

Enbook ID

01970445

Kiadó

Springer

Súly

940

Méretek

152 x 229 x 16

Teljes leírás

This book grew out of previously published papers of mine composed over a period of years; they have been reworked (sometimes beyond recognition) so as to form a reasonably coherent whole. Part One treats of informative inference. I argue (Chapter 2) that the traditional principle of induction in its clearest formulation (that laws are confirmed by their positive cases) is clearly false. Other formulations in terms of the 'uniformity of nature' or the 'resemblance of the future to the past' seem to me hopelessly unclear. From a Bayesian point of view, 'learning from experience' goes by conditionalization (Bayes' rule). The traditional stum bling block for Bayesians has been to fmd objective probability inputs to conditionalize upon. Subjective Bayesians allow any probability inputs that do not violate the usual axioms of probability. Many subjectivists grant that this liberality seems prodigal but own themselves unable to think of additional constraints that might plausibly be imposed. To be sure, if we could agree on the correct probabilistic representation of 'ignorance' (or absence of pertinent data), then all probabilities obtained by applying Bayes' rule to an 'informationless' prior would be objective. But familiar contra dictions, like the Bertrand paradox, are thought to vitiate all attempts to objectify 'ignorance'. BuUding on the earlier work of Sir Harold Jeffreys, E. T. Jaynes, and the more recent work ofG. E. P. Box and G. E. Tiao, I have elected to bite this bullet. In Chapter 3, I develop and defend an objectivist Bayesian approach.

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Inference, Method and Decision

Towards a Bayesian Philosophy of Science

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Teljes leírás

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