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" Bayesian probability theory : "
Wolfgang 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).
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BL
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620405
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dltt
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| Main Entry
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Linden, Wolfgang von der
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Bayesian probability theory : : applications in the physical sciences /\ Wolfgang 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).
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xiii, 637 pages :: illustrations ;; 26 cm
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9781107035904
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: 1107035902
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Includes bibliographical references (pages 620-630) and index.
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| Contents
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The meaning of probability -- Basic definitions for frequent statistics and Bayesian inference -- Bayesian inference -- Combinatrics -- Random walks -- Limit theorems -- Continuous distributions -- The central limit theorem -- Poisson processes and waiting times -- Prior probabilities by transformation invariance -- Testable information and maximum entropy -- Qualified maximum entropy -- Global smoothness -- Bayesian parameter estimation -- Frequentist parameter estimation -- The Cramer-Rao inequality -- The Bayesian way -- The frequentist approach -- Sampling distributions -- Comparison of Bayesian and frequentist hypothesis tests -- Regression -- Consistent inference on inconsistent data -- Unrecognized signal contributions -- Change point problems -- Function estimation -- Integral equations -- Model selection -- Bayesian experimental design -- Numerical integration -- Monte Carlo methods -- Nested sampling.
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Probabilities.
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Bayesian statistical decision theory.
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Dose, Volker
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Toussaint, Udo von
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