Fundamentals of Nonparametric Bayesian Inference

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Fundamentals of Nonparametric Bayesian Inference

Econometrics and economic statistics Probability and statistics

Authors: Subhashis Ghosal, Aad van der Vaart

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Collection: Cambridge Series in Statistical and Probabilistic Mathematics

Language: English

Published by: Cambridge University Press

Published on: 26th June 2017

Format: LCP-protected ePub

Size: 28 Mb

ISBN: 9781108206075


Explosive growth in computing power

has made Bayesian methods for infinite-dimensional models - Bayesian nonparametrics - a nearly universal framework for inference, finding practical use in numerous subject areas. Written by leading researchers, this authoritative text draws on theoretical advances of the past twenty years to synthesize all aspects of Bayesian nonparametrics, from prior construction to computation and large sample behavior of posteriors.

Understanding posterior behavior

Because understanding the behavior of posteriors is critical to selecting priors that work, the large sample theory is developed systematically, illustrated by various examples of model and prior combinations. Precise sufficient conditions are given, with complete proofs, that ensure desirable posterior properties and behavior.

Additional features

Each chapter ends with historical notes and numerous exercises to deepen and consolidate the reader's understanding, making the book valuable for both graduate students and researchers in statistics and machine learning, as well as in application areas such as econometrics and biostatistics.

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