/STA 501. Probability

Catalog description

Development of probability theory with emphasis on how probability relates to statistical inference. Topics include review of probability basics, counting rules, Bayes Theorem, distribution function, expectation and variance of random variables and functions of random variables, moment generating function, moments, probability models for special random variables, joint distributions, maximum likelihood estimation, unbiasedness, distributions of functions of random variables, chi-square distribution, students t distribution, F distribution, and sampling distributions of the sample mean and variance. Note: STA 401/STA 501 may not be counted toward graduate degree programs in mathematics or statistics. Prerequisite: STA 261 , STA 301 , or ISA 225 and MTH 249 or MTH 251 .