Statistical and Inductive Inference by Minimum Message Length

Name: Statistical and Inductive Inference by Minimum Message Length
Brand: Springer, Berlin
SKU: 9781441920157
Price: 593.54 RON
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Autor: C. S. Wallace

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Editura: Springer, Berlin

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Mythanksareduetothemanypeoplewhohaveassistedintheworkreported here and in the preparation of this bo...

Informații despre carte

Autor

C. S. Wallace

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

432

EAN

9781441920157

ISBN

1441920153

Enbook ID

02716938

Editura

Springer, Berlin

Greutate

682

Dimensiuni

155 x 235 x 23

Descriere completă

Mythanksareduetothemanypeoplewhohaveassistedintheworkreported here and in the preparation of this book. The work is incomplete and this account of it rougher than it might be. Such virtues as it has owe much to others; the faults are all mine. MyworkleadingtothisbookbeganwhenDavidBoultonandIattempted to develop a method for intrinsic classi?cation. Given data on a sample from some population, we aimed to discover whether the population should be considered to be a mixture of di?erent types, classes or species of thing, and, if so, how many classes were present, what each class looked like, and which things in the sample belonged to which class. I saw the problem as one of Bayesian inference, but with prior probability densities replaced by discrete probabilities re?ecting the precision to which the data would allow parameters to be estimated. Boulton, however, proposed that a classi?cation of the sample was a way of brie?y encoding the data: once each class was described and each thing assigned to a class, the data for a thing would be partially implied by the characteristics of its class, and hence require little further description. After some weeks arguing our cases, we decided on the maths for each approach, and soon discovered they gave essentially the same results. Without Boulton s insight, we may never have made the connection between inference and brief encoding, which is the heart of this work.

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