2: Feefoefum in Las Vegas: Combinatoric and Discrete Probability Overview

Combinatoric and Discrete Probability Overview 2.1

• We now come to a change of pace and consider more combinatorial aspects of probability.

• One of the nicest references for this is a two-volume book by Feller, who has a host of beautiful examples.

• Bernoulli Trials---I
• Bernoulli Trials II
• Example of Bernoulli Trials
• Poisson Limit of Binomial Distribution
• Example of Poisson Distribution
• Compound Poisson Distribution
• Particle Cluster Production---I
• Particle Cluster Production II
• Example of Cherenkov Light
• Additivity Property of Binomial or Poisson Distributions
• Gaussian Limit of Binomial Distribution
• Gaussian Limit of Binomial and Poisson Distributions---II
• Gaussian Limit of Binomial and Poisson Distributions---III
• Gaussian Limit of Binomial and Poisson Distributions---IV
• 2.2Birth and Death Processes Overview---I
• Telephone Calls as a Birth Process---I
• Telephone Calls as a Birth Process---II
• Basic Birth Process Formalism---I
• Basic Birth Process Formalism---II
• General Birth and Death Process
• Example of Birth/Death Process---I
• Example of Birth/Death Process---II
• Markov Chains