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006 m|||||o||d||||||||
007 cr||||||||||||
008 120719s2014||||enk o ||1 0|eng|d
020 _a9781139565608 (ebook)
020 _z9781107035904 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC174.85.P76
_bL56 2014
082 0 0 _a519.5/42
_223
100 1 _aLinden, Wolfgang von der,
_eauthor.
245 1 0 _aBayesian probability theory :
_bapplications in the physical sciences /
_cWolfgang von der Linden, Graz University of Technology, Institute for Theoretical and Computational Physics, Graz, Austria, Volker Dose, Max Planck Institute for Plasma Physics, Garching, Germany, Udo von Toussaint, Max Planck Institute for Plasma Physics, Garching, Germany.
264 1 _aCambridge :
_bCambridge University Press,
_c2014.
300 _a1 online resource (xiii, 637 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 01 Feb 2016).
505 0 _aThe meaning of probability -- Basic definitions -- Bayesian inference -- Combinatrics -- Random walks -- Limit theorems -- Continuous distributions -- The central limit theorem -- Poisson processes and waiting times -- Transformation invariance -- Maximum entropy -- Qualified maximum entropy -- Global smoothness -- Bayesian parameter estimation -- Frequentist parameter estimation -- The Cramer-Rao inequality -- The Bayesian way -- The frequentist way -- Sampling distributions -- Bayesian vs frequentist hypothesis tests -- Regression -- Inconsistent data -- Unrecognized signal contributions -- Change point problems -- Function estimation -- Integral equations -- Model selection -- Bayesian experimental design -- Numerical integration -- Monte Carlo methods -- Nested sampling.
520 _aFrom the basics to the forefront of modern research, this book presents all aspects of probability theory, statistics and data analysis from a Bayesian perspective for physicists and engineers. The book presents the roots, applications and numerical implementation of probability theory, and covers advanced topics such as maximum entropy distributions, stochastic processes, parameter estimation, model selection, hypothesis testing and experimental design. In addition, it explores state-of-the art numerical techniques required to solve demanding real-world problems. The book is ideal for students and researchers in physical sciences and engineering.
650 0 _aProbabilities.
650 0 _aBayesian statistical decision theory.
700 1 _aDose, Volker,
_eauthor.
700 1 _aToussaint, Udo von,
_eauthor.
776 0 8 _iPrint version:
_z9781107035904
856 4 0 _uhttps://doi.org/10.1017/CBO9781139565608
907 _a.b16846126
_b2020-12-22
_c2020-12-22
942 _n0
998 _a1
_b2020-12-22
_cm
_da
_feng
_genk
_y0
_z.b16846126
999 _c651955
_d651955