Monte Carlo simulation, explained from first principles
Monte Carlo · the square-root law · seeds & reproducibility
A four-part guide to the method behind option pricing, A/B tests and clinical trial design. What the engine is, how it differs from the bootstrap and MCMC, and where it lives - then the parts build it from pi upwards, with playgrounds and a notebook you can run.
ROC and AUC, explained for clinicians
ROC curve · AUC · the sensitivity–specificity trade-off
What the ROC curve is, how it is built cell by cell, and the one sentence that makes AUC stick: the chance a random sick patient outscores a random healthy one. From ranking patients by score to reading the area.