Probability. Lecture 13. Moments and moment-generating functions

Lecture 13 introduces the concept of moments used in statistics and econometrics within a method of moments or generalized method of moments estimation procedures Timeline: 00:00 Motivation 03:47 Definition of moments 21:42 Moment-generating function 26:00 Taylor series expansion 47:24 MGF and moments 59:08 Applications of MGF 1:04:54 Properties of MGF The course “Probability“ for the 2nd year bachelors in Economics Taught at BRICS institute, Irkutsk National Research Technical University, Winter semester 2021