Welcome to Decision Theory for Analysts
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Contents:
Course Overview
Welcome to the Course!
Elements of Decision Theory
States of Nature, Experiment, Actions, and Loss
Making a Decision
Strategies, Average Losses, and Expected Loss
Basic Probability
What is a Probability?
Probability Terms
Random Variables
Joint, Marginal, and Conditional Probability
Bayes’ Rule
Utility Functions
Thought Experiment -
Utility Theory
St. Petersburg Paradox
Using Data to Infer Risk Tolerance
Examples
Alternative Utility Functions
Bayes' Rule
Bayes’ Rule
A Young Example
A Discrete Case
Bayes' Rule Discrete Example
What is our prior belief?
What is our likelihood?
What is the posterior?
What to do with Bayes’ Rule?
Bayes' and Thompson Sampling
Back to the COVID example
Thompson Sampling
Flexible Thompson Sampling
Adding Drift to a Particle Filter
Introduction to Markov Chains
Setup
MCMC
PyMC3
Introduction to PyMC3
Samplers
Basics of PyMC3’s
Model()
Finding a Person’s Utility Function
Indices and tables
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Index
Module Index
Search Page
Decision Theory
Navigation
Contents:
Course Overview
Elements of Decision Theory
Basic Probability
Utility Functions
Bayes' Rule
Bayes' Rule Discrete Example
Bayes' and Thompson Sampling
Flexible Thompson Sampling
Adding Drift to a Particle Filter
Introduction to Markov Chains
Introduction to PyMC3
Related Topics
Documentation overview
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