Introduction to Stochastic Processes: Course Outline

• Simple random walk.
• Markov chains: Transition Probability Matrices.
• First step analysis.
• Long Behavior of Markov chains.
• Classification of states.
• Limit theorem.
• Reducible Markov chain, and Poisson process.
• Distribution associated with Poisson processes.
• Continuous time Markov chain.
• Birth and death processes with and without absorbing states.
• Renewal process.

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