Checking date: 20/03/2024

Course: 2024/2025

Bayesian Methods
(13723)
Bachelor in Statistics and Business (Plan: 400 - Estudio: 203)

Coordinating teacher: WIPER , MICHAEL PETER

Department assigned to the subject: Statistics Department

Type: Compulsory
ECTS Credits: 6.0 ECTS

Course:
Semester:

Requirements (Subjects that are assumed to be known)
Statistical Inference Techniques I Statistical Inference Techniques II Regression Methods Stochastic Processes
Objectives
1. To understanding the ideas of Bayesian statistics and the differences between this approach and the classical or frequentist approach in Statistics. 2. To know and use the main conjugate families of distributions. 3. Use specific Bayesian statistical software to solve problems. 1. Capacity for analysis and synthesis. 2. Model and solve problems. 3. Oral and written communication skills.
Skills and learning outcomes
Description of contents: programme
1. Introduction and review of basic concepts of probability theory. 1.1 Definitions and basic theorems 1.2 Bayes theorem 1.3 Applications of the Bayes thorem 2. Conjugate families of distributions. 2.1 Beta-binomial family 2.2 Normal-normal family 2.3 Applications 3. Estimation and tests. 3.1 Beta-binomial models 3.2 Normal-normal models 3.3 Examples 4. Regression and linear models. 4.1 Normal linear models 4.2 General linear models 5. Simulation methods for Bayesian statistics. 5.1 Bayes factors 5.2 Introduction to MCMC methods 5.3 Examples
Learning activities and methodology
Theory (4 ECTS). Theoretical classes with support material available on the Web. Practice (2 ECTS) problem-solving classes. Computing practices in computer labs. Presentations and debates.
Assessment System
• % end-of-term-examination 0
• % of continuous assessment (assigments, laboratory, practicals...) 100

Calendar of Continuous assessment

Extraordinary call: regulations
Basic Bibliography
• Antelman, G.. Elementary Bayesian Statistics. Cheltenham. 1997
• Boldstad, W.M.. Introduction to Bayesian Statistics. Wiley. 2007
• Gill J.. Bayesian Methods: A Social and Behavioral Sciences Approach (3ed). Chapman & Hall. . 2015
• Kurt W. Bayesian Statistics the Fun Way. No Starch Press. 2019
Electronic Resources *