Statistics

This course covers the basics of probability theory and statistics.

Topics in probability include discrete and continuous random variables, probability distributions, stochastic independence, joint distributions, sums and functions of random variables, expectation, variance and covariance, law of large numbers, and central limit theorem.

Topics in statistics include random samples and sample distributions, estimators (bias, error, and maximum likelihood), least squares and confidence intervals for the average of normally distributed data with known or unknown variance and hypothesis tests.