Welcome to Decision Theory for Analysts¶

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¶

  • Index

  • Module Index

  • Search Page

Decision Theory

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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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