Unlike some branches of pure math, statistical theory has a direct conduit to reality. The moment you understand maximum likelihood estimation, you can build your own models. Once you grasp sufficiency and completeness, you understand what information is being wasted (or not) by your data. This joy is infinite because there is no end to the problems you can attack: from A/B testing a website to analyzing genomic sequences, from forecasting economic trends to understanding climate models. Each new dataset is a fresh invitation to play.
Unlike pure mathematics, which deals in absolute certainties ( Unlike some branches of pure math, statistical theory
The Neyman-Pearson Lemma and Likelihood Ratio tests. Unlike some branches of pure math
: Maximum Likelihood Estimation (MLE) with asymptotic properties and Method of Moments. Unlike some branches of pure math, statistical theory
Unlike some branches of pure math, statistical theory has a direct conduit to reality. The moment you understand maximum likelihood estimation, you can build your own models. Once you grasp sufficiency and completeness, you understand what information is being wasted (or not) by your data. This joy is infinite because there is no end to the problems you can attack: from A/B testing a website to analyzing genomic sequences, from forecasting economic trends to understanding climate models. Each new dataset is a fresh invitation to play.
Unlike pure mathematics, which deals in absolute certainties (
The Neyman-Pearson Lemma and Likelihood Ratio tests.
: Maximum Likelihood Estimation (MLE) with asymptotic properties and Method of Moments.