Bayesian statistics for beginners : a step-by-step approach / Therese M. Donovan, Ruth M. Mickey.

Format:

Book

Author/Creator:

Donovan, Therese M. (Therese Marie), author.

Mickey, Ruth M., 1954- author.

Contributor:

Clarence J. Marshall Memorial Library Fund.

Language:

English

Subjects (All):

Bayesian statistical decision theory.

Physical Description:

x, 419 pages : illustrations (chiefly color) ; 26 cm

Edition:

First edition.

Place of Publication:

Oxford, United Kingdom : Oxford University Press, 2019.

Contents:

Section 1 Basics of Probability

1 Introduction to Probability p. 3

2 Joint, Marginal, and Conditional Probability p. 11

Section 2 Bayes' Theorem and Bayesian Inference

3 Bayes' Theorem p. 29

4 Bayesian Inference p. 37

5 The Author Problem: Bayesian Inference with Two Hypotheses p. 48

6 The Birthday Problem: Bayesian Inference with Multiple Discrete Hypotheses p. 61

7 The Portrait Problem: Bayesian Inference with Joint Likelihood p. 73

Section 3 Probability Functions

8 Probability Mass Functions p. 87

9 Probability Density Functions p. 108

Section 4 Bayesian Conjugates

10 The White House Problem: The Beta-Binomial Conjugate p. 133

11 The Shark Attack Problem: The Gamma-Poisson Conjugate p. 150

12 The Maple Syrup Problem: The Normal-Normal Conjugate p. 172

Section 5 Markov Chain Monte Carlo

13 The Shark Attack Problem Revisited: MCMC with the Metropolis Algorithm p. 193

14 MCMC Diagnostic Approaches p. 212

15 The White House Problem Revisited: MCMC with the Metropolis-Hastings Algorithm p. 224

16 The Maple Syrup Problem Revisited: MCMC with Gibbs Sampling p. 247

17 The Survivor Problem: Simple Linear Regression with MCMC p. 269

18 The Survivor Problem Continued: Introduction to Bayesian Model Selection p. 308

19 The Lorax Problem: Introduction to Bayesian Networks p. 325

20 The Once-ler Problem: Introduction to Decision Trees p. 353.

Notes:

Includes bibliographical references (pages 399-401) and indexes.

Local Notes:

Acquired for the Penn Libraries with assistance from the Clarence J. Marshall Memorial Library Fund.

ISBN:

9780198841296

0198841299

9780198841302

0198841302

OCLC:

1084549268