Addition to Section 4.1

Answering the question about the necessary initial size to guarantee positive probability for survival.

Introduction to BP with mating. Definition and remarks for extinction.

Application of branching processes to queueing theory.

We discuss limit theorems for the supercritical processes.

Introduction to martingales and limit theorems for BP.

Mean Generation Size. Classification of BP. Extinction Probability Theorem.

This is HW 1 on Markov Chains and Simple Branching Processes.

This is HW 2 on PGFs and extinction probability equation.

This is the first part of the topic of calculation the extinction probability of a simple branching process.

Introduction of Galton-Watson Branching Process. Simple examples and simulations.

Introduction of Probability Generating Functions and some properties.

Definitions, example, and Markov chains.

Brief probability review.

Review of R Software.