This course provides an advanced study of theoretical statistics. Topics include: an introduction probability and sample space, conditional probability and Bayes Theorem, probability distribution of a random variable, discrete and continuous random variables, functions of random variables, moments and moment generating functions, order statistics and their distributions, discrete distributions, continuous distributions, bivariate and multivariate normal distribution, modes of convergence, limiting moment generating functions, and the central limit theorems. 3 hours
Samawi, Hani M., "BIOS 9131 – Advanced Statistical Theory for Biostatistics I" (2019). Jiann-Ping Hsu College of Public Health Syllabi. 400.