Probability and Statistical Inference

This course explores statistical concepts such as random variables, distributions, point and interval estimation, hypothesis testing, MLE, large-sample properties, bootstrap methods, and Bayesian methods. Emphasizing probability theory and mathematical statistics, the focus is on their application in biostatistics. Starting with foundational probability theory, the course progresses to statistical inference using data to understand unknown probability models in biomedical contexts. Key topics include fundamental probability ideas, foundational models, sample moments, sampling distributions, and practical applications in modeling.