Statistical Inference

Dive into the fundamentals of statistical inference through a comprehensive video series covering essential topics in 3 hours and 30 minutes. Explore key concepts such as likelihood, sufficiency, and maximum likelihood estimation. Master hypothesis testing techniques, including Wald, likelihood ratio, and score tests. Gain an introduction to Bayesian statistics and learn about exact tests, empirical distributions, and bootstrapping. Conclude with non-parametric tests like the sign test, Wilcoxon signed rank, and Mann-Whitney. Equip yourself with the knowledge needed to analyze and interpret statistical data effectively.

Syllabus

Likelihood | Log likelihood | Sufficiency | Multiple parameters.
Maximum Likelihood Estimation (MLE) | Score equation | Information | Invariance.
Hypothesis testing (ALL YOU NEED TO KNOW!).
Wald test | Likelihood ratio test | Score test.
Bayesian Statistics: An Introduction.
Exact test, Empirical distribution, Bootstrapping.
Non-parametric tests - Sign test, Wilcoxon signed rank, Mann-Whitney.