Mathematical Statistics. Lecture 4. Point estimation

In Lecture 4 we develop two imporatant methods of estimation: method of moments and method of maximum likelihood. We show several examples how to derive estimators for the population parameters with the help of these methods. Timeline: 00:00 Introduction and repetition 12:38 Estimator 18:18 Example of a Poisson random variable 29:38 Method of moments 52:18 Method of maximum likelihood 59:23 Likelihood function 1:04:16 Maximum likelihood estimator 1:20:10 Conclusion The course “Mathematical Statistics“ for the 2nd year bachelors in Economics Taught at BRICS institute, Irkutsk National Research Technical University, Spring semester 2022