Applied Stochastic Models: Course Outline

• Probability generating, functions.
• Compound distributions.
• Simple random walk.
• branching processes.
• Markov process.
• discrete and continuous time Markov chains.
• birth-death process.
• immigration and emigration process.
• immigration-death processes.
• renewal processes.
• Markov renewal process.
• Ergodic theorem.
• Gaussian processes and Brownian motion.

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