Common Probability Distributions

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This course introduces some of the discrete and continuous probability distributions most commonly used to describe the behavior of random variables.

  • Discrete and continuous random variables
  • Probability distribution function and cumulative distribution function
  • Discrete uniform and binomial distribution functions
  • Using binomial trees to describe stock price movement
  • Tracking error
  • Continuous uniform distribution
  • Normal distribution
  • Univariate and multi-variate distributions
  • Standard normal distribution
  • Short-fall risk and safety-first ratio
  • Normal vs. lognormal distribution
  • Discrete and continuously compounded rates of return
  • Monte Carlo simulation and historical simulation

Course Resources

Study Notes for Common Probability Distributions

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