# Econ 327: Introduction to Empirical Methods

Undergraduate probability and statistics, *UBC*, 2015

Undergraduate-level introduction to probability and statistics

# Lecture notes

- Basics of probability
- Conditional probability independence bayes rule
- Random variables, cumulative distribution functions (CDFs)
- Discrete random variables, probability mass functions (PMFs)
- Expectation of discrete random variables
- Variance, moments, and moment generating function (MGF) of discrete random variables
- Examples of discrete distributions
- Continuous random variables and probability density functions (PDFs), uniform distribution
- Expectation of a continuously distributed random variable, distribution function, and change of variable techniques
- Quantiles (percentiles), symmetric distributions, logistic distribution
- Normal distribution
- Joint (bivariate) distributions, marginal distributions, independence
- Covariance, correlation, and regression
- Conditional distributions and expectations
- Introduction to statistics: Estimation
- Introduction to statistics: Inference