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E1.11: Applying the Continuous Mapping Theorem (Econometrics Math)

This video demonstrates how to apply the continuous mapping theorem to make a consistency argument for a rather wide class of estimators. In particular, I show that any continuous function of a sample mean can be given a consistency argument through the continuous mapping theorem. This is a powerful theorem that can show under quite weak assumptions that our estimators have the desirable property of consistency. This is part of my series of math review for econometrics videos. These are the videos labeled with an E at the start of the title on my channel.
Length: 10:56

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