Topic: Statistical Theory I - Probability and Distribution Theory

Why Density Height Is Not Point Probability

Why Mixture Quantiles and Modes Are Not Averaged

When Sums of Elliptical Vectors Stay Elliptical

Worked Constructions of Elliptical Models

Whitening Transformations for Gaussian Vectors

Why Density Modes Can Be Misleading

Worked Block-Maxima and Threshold-Excess Calculations

Worked Calculations Across Four Distribution Families

Worked Comparisons of Sampling With and Without Replacement

When the Classical CLT Fails