Thank you very much for posting these. The explanations are very clear and thorough.

Well done, you just clarify a concept that was impossibile to understand through the book.

Thank you for your explanation But a little remark I think that in sample notation you should put n in small letter

Why in the third moment condition, the estimator is consistent, but biased? How do we understand that?

since it's a sample raw moment, shouldn't it be 1/n summation of __ from i=1 to n? rather than N?

In this situation, is the method of moments the same as the MLE?