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020 _a9780521878265
_qHardback
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
082 0 4 _a519.234
_bGHO-F
100 1 _aGhosal, Subhashis
245 1 0 _aFundamentals of nonparametric Bayesian inference
260 _aNew York :
_bCambridge University Press,
_c2017.
300 _axxiv, 646 pages ;
_c27 cm.
490 _aCambridge series in statistical and probabilistic mathematics ;
_v44
504 _aIncludes bibliographical references (pages 623-637) and indexes.
520 _aExplosive 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. 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. 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.
650 0 _aNonparametric statistics
650 0 _aBayesian statistical decision theory
700 1 _aVaart, Aad van der
856 4 1 _3Table of contents
_uhttps://toc.library.ethz.ch/objects/pdf03/z01_978-0-521-87826-5_01.pdf
856 4 1 _3Reviews
_uhttps://www.goodreads.com/book/show/35485670-fundamentals-of-nonparametric-bayesian-inference?ref=nav_sb_ss_1_13#CommunityReviews
942 _cBK
_2udc
999 _c36747
_d36747