Mathematical Statistics Lecture [upd] Jun 2026

Before we can analyze data, we must assume a mathematical structure for where that data comes from. In mathematical statistics, we assume data arises from a $X$.

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You will be integrating density functions and manipulating matrices. If your multivariable calculus is rusty, brush up early. Before we can analyze data, we must assume

This is a profound result. It states that if you have a crude estimator and a sufficient statistic, you can "improve" the crude estimator by conditioning on the sufficient statistic. It guarantees that we never need to throw away data efficiency if we use sufficient statistics. This article serves as your comprehensive roadmap

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“Congratulations,” she says dryly. “You have found an estimate. It is probably wrong.”