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    Vadim Marmer

    Vadim Marmer

    Professor of Economics, UBC

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    Econ 327: Introduction to Empirical Methods

    Undergraduate probability and statistics, UBC, 2015

     

    Undergraduate-level introduction to probability and statistics

    Lecture notes

    1. Basics of probability
    2. Conditional probability independence bayes rule
    3. Random variables, cumulative distribution functions (CDFs)
    4. Discrete random variables, probability mass functions (PMFs)
    5. Expectation of discrete random variables
    6. Variance, moments, and moment generating function (MGF) of discrete random variables
    7. Examples of discrete distributions
    8. Continuous random variables and probability density functions (PDFs), uniform distribution
    9. Expectation of a continuously distributed random variable, distribution function, and change of variable techniques
    10. Quantiles (percentiles), symmetric distributions, logistic distribution
    11. Normal distribution
    12. Joint (bivariate) distributions, marginal distributions, independence
    13. Covariance, correlation, and regression
    14. Conditional distributions and expectations
    15. Introduction to statistics: Estimation
    16. Introduction to statistics: Inference

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