Topic: Stochastic Processes

The Poisson Counting Process as an Example

The Poisson Distribution of a Single Count

The Ornstein-Uhlenbeck Process from Its Transition Law

The Pathwise Upcrossing Inequality

The Normalized Population Martingale

The Normalized Galton-Watson Population

The Normalized Galton-Watson Population Martingale

The Natural Filtration of a Process

The Nonarithmetic Blackwell Theorem by Smoothing

The Memoryless Property of Exponential Waiting