WJWJ Maths
Stochastic Processes
  • Warming Up
  • Expectations of Sums
  • Conditional Expectation
  • Computing Expectations by Conditioning
  • Computing Probabilities by Conditioning
  • Markov’s Inequality
  • Computing Variances by Conditioning
  • Stochastic Processes
  • Definitions
  • Markov Processes
  • Homogeneous Markov Processes
  • Markov Chains
  • Introduction
  • The Chapman–Kolmogorov Equations
  • Unconditional Distributions
  • Classification of States
  • Random Walk Models
  • Limiting Probabilities
  • Expected Numbers of Visits
  • Branching Processes
  • The Poisson Process
  • Counting Processes
  • The Poisson Process
  • Interarrival and Waiting Times
  • Further Properties of the Poisson Process
  • Birth and Death Processes
  • The Simple Birth Process
  • The Simple Death Process
  • The Simple Birth and Death Process
  • Immigration
  • Queues
  • Brownian Motion
  • Practice Problems

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Chapter 4
The Poisson Process

4.1 Counting Processes
4.2 The Poisson Process
4.3 Interarrival and Waiting Times
4.4 Further Properties of the Poisson Process

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