About
Discrete stochastic processes are essentially probabilistic systems that evolve in time via random changes occurring at discrete fixed or random intervals. This course aims to help students acquire both the mathematical principles and the intuition necessary to create, analyze, and understand insightful models for a broad range of these processes. The range of areas for which discrete stochastic-process models are useful is constantly expanding, and includes many applications in engineering, physics, biology, operations research and finance.
Videos

Lecture 18: Countable-state Markov Chains and Processes
Feb 11, 2013
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2296 views

Lecture 9: Markov Rewards and Dynamic Programming
Feb 11, 2013
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2407 views

Lecture 14: Review
Feb 11, 2013
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1932 views

Lecture 7: Finite-state Markov Chains; The Matrix Approach
Feb 11, 2013
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3451 views

Lecture 5: Poisson Combining and Splitting
Feb 11, 2013
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2278 views

Lecture 4: Poisson (The Perfect Arrival Process)
Feb 11, 2013
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2396 views

Lecture 15: The Last Renewal
Feb 11, 2013
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2099 views

Lecture 16: Renewals and Countable-state Markov
Feb 11, 2013
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2115 views

Lecture 23: Martingales (Plain, Sub, and Super)
Feb 11, 2013
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2258 views

Lecture 12: Renewal Rewards, Stopping Trials, and Wald's Inequality
Feb 11, 2013
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2137 views

Lecture 21: Hypothesis Testing and Random Walks
Feb 11, 2013
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2462 views

Lecture 13: Little, M/G/1, Ensemble Averages
Feb 11, 2013
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2253 views

Lecture 2: More Review; The Bernoulli Process
Feb 11, 2013
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3188 views

Lecture 3: Law of Large Numbers, Convergence
Feb 11, 2013
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2341 views

Lecture 20: Markov Processes and Random Walks
Feb 11, 2013
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2244 views

Lecture 19: Countable-state Markov Processes
Feb 11, 2013
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2057 views

Lecture 25: Putting It All Together
Feb 11, 2013
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2139 views

Lecture 10: Renewals and the Strong Law of Large Numbers
Feb 11, 2013
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2244 views

Lecture 24: Martingales: Stopping and Converging
Feb 11, 2013
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2324 views

Lecture 17: Countable-state Markov Chains
Feb 11, 2013
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2049 views

Lecture 8: Markov Eigenvalues and Eigenvectors
Feb 11, 2013
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2425 views

Lecture 6: From Poisson to Markov
Feb 11, 2013
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3907 views

Lecture 11: Renewals: Strong Law and Rewards
Feb 11, 2013
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2113 views

Lecture 1: Introduction to Discrete Stochastic Processes and Probability Review
Feb 11, 2013
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7539 views

Lecture 22: Random Walks and Thresholds
Feb 11, 2013
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2014 views