Monthly Archives: February 2015

The Gauss Markov Theorem

The Gauss-Markov Theorem is telling us that in a regression model, where the expected value of our error terms is zero, and variance of the error terms is constant and finite and and are uncorrelated for all and the least … Continue reading

Posted in Econometrics, Mathematical Proofs, Statistic | Tagged , , , , | 4 Comments

What is an indirect proof?

In economics, especially in theoretical economics, it is often necessary to formally prove your statements. Meaning to show your statements are correct in a logical way. One possible way of showing that your statements are correct is by providing an … Continue reading

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Derivation of the Least Squares Estimator for Beta in Matrix Notation

The following post is going to derive the least squares estimator for , which we will denote as . In general start by mathematically formalizing relationships we think are present in the real world and write it down in a … Continue reading

Posted in Econometrics, Statistic | Tagged , , | 12 Comments