Mathematical Theory of Bayesian Statistics 1st Edition Sumio Watanabe 9781482238068,1482238063

Mathematical Theory of Bayesian Statistics 1st Edition Sumio Watanabe – Ebook Instant Download/Delivery ISBN(s): 9781482238068,1482238063

Product details:

• ISBN-10 ‏ : ‎ 0367734818
• ISBN-13 ‏ : ‎ 978-0367734817
• Author: Watanabe

Mathematical Theory of Bayesian Statistics introduces the mathematical foundation of Bayesian inference which is well-known to be more accurate in many real-world problems than the maximum likelihood method. Recent research has uncovered several mathematical laws in Bayesian statistics, by which both the generalization loss and the marginal likelihood are estimated even if the posterior distribution cannot be approximated by any normal distribution.

Table of contents:

1 Definition of Bayesian Statistics

2 Statistical Models

3 Basic Formula of Bayesian Observables

4 Regular Posterior Distribution

5 Standard Posterior Distribution

6 General Posterior Distribution

7 Markov Chain Monte Carlo

8 Information Criteria

9 Topics in Bayesian Statistics

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