BSTA 551 Theory of Statistical Inference
This course provides an introduction to the theoretical foundation in biostatistics. Topics will include distributions of random variables (location-scale families and exponential families), data reduction (sufficiency and completeness of statistics), methods of estimation (method of moment estimators and maximum likelihood estimators), convergence, finite and large sample properties of estimators, interval estimation, hypothesis testing, and asymptotic tests (likelihood-ratio tests, score tests, and Wald tests). Students will also learn how to conduct statistical simulations to evaluate statistical methods.
Prerequisite
BSTA 550 and differential and integral calculus.