An Introduction to Bayesian Scientific Computing: Ten Lectures on Subjective Computing Paperback / softback - 2007
by Daniela Calvetti
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Details
- Title An Introduction to Bayesian Scientific Computing: Ten Lectures on Subjective Computing
- Author Daniela Calvetti
- Binding Paperback
- Condition New
- Pages 202
- Volumes 1
- Language ENG
- Publisher Springer, New York
- Publication date 2007-11-26
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Table of Contents
- Bookseller's Inventory # B9780387733937
- ISBN 9780387733937 / 0387733930
- Weight 0.66 lbs (0.30 kg)
- Dimensions 9.1 x 6 x 0.5 in (23.11 x 15.24 x 1.27 cm)
- Category Mathematics
- Library of Congress subjects Bayesian statistical decision theory, Mathematical statistics
- Library of Congress Catalogue Number 2007936617
- Dewey Decimal Code 519.542
- Quantity available 10
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From the publisher
From the rear cover
A combination of the concepts subjective - or Bayesian - statistics and scientific computing, the book provides an integrated view across numerical linear algebra and computational statistics. Inverse problems act as the bridge between these two fields where the goal is to estimate an unknown parameter that is not directly observable by using measured data and a mathematical model linking the observed and the unknown.
Inverse problems are closely related to statistical inference problems, where the observations are used to infer on an underlying probability distribution. This connection between statistical inference and inverse problems is a central topic of the book. Inverse problems are typically ill-posed: small uncertainties in data may propagate in huge uncertainties in the estimates of the unknowns. To cope with such problems, efficient regularization techniques are developed in the framework of numerical analysis. The counterpart of regularization in the framework of statistical inference is the use prior information. This observation opens the door to a fruitful interplay between statistics and numerical analysis: the statistical framework provides a rich source of methods that can be used to improve the quality of solutions in numerical analysis, and vice versa, the efficient numerical methods bring computational efficiency to the statistical inference problems.
This book is intended as an easily accessible reader for those who need numerical and statistical methods in applied sciences.
