Topic: Statistical Theory I - Probability and Distribution Theory

Worked Tail-Probability Calculations Across Families

Zero Covariance Implies Independence for Bernoulli Variables

Worked Tail Comparisons for Discrete and Continuous Laws

Worked Problems on Multivariate Transformations

Zero Covariance Is Not Independence

Zero-Inflated Continuous Distributions

Zero-Inflated Count Distributions

Why Density Modes Can Be Misleading

Worked Block-Maxima and Threshold-Excess Calculations

Worked Calculations Across Four Distribution Families