Course Description

Statistical Inference is an advanced undergraduate course designed for students majoring in Statistics and Statistics & Computer Science. The course introduces the theoretical foundations and practical methods of drawing statistical conclusions about populations based on sample data. Topics covered include a review of random variables and common probability distributions, together with their properties such as the mean, variance, and moment-generating function; sampling distributions; point estimation; desirable properties of estimators, including unbiasedness, consistency, sufficiency, and efficiency; methods of estimation, including the Method of Moments and Maximum Likelihood Estimation; principles of hypothesis testing; and likelihood ratio tests. Emphasis is placed on the development, evaluation, and application of inferential procedures used in statistical analysis and scientific research.