Markov Chains: Theory and Applications

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Related lectures (35)

Markov Chain Games Log in to Mediaspace to watch this video

Explores Markov chain games, hitting probabilities, and expected hitting times in a target set.

Markov Chains: Properties and Expectations Log in to Mediaspace to watch this video

Explores Markov chains' properties, expectations, and recurrence in Poisson processes.

Continuous-Time Markov Chains: Birth and Death Processes Log in to Mediaspace to watch this video

Covers the theory of continuous-time Markov chains, focusing on birth and death processes.

Stochastic Models: Absorbing Markov Chains Examples Log in to Mediaspace to watch this video

Covers examples of absorbing Markov chains in discrete time.

Probability Inequalities Log in to Mediaspace to watch this video

Explores probability inequalities, convergence types, and moment generating functions for distribution approximation.

The Marriage Problem Log in to Mediaspace to watch this video

Explores the marriage problem, modeling the process as a controlled stochastic process with dynamic programming algorithms to find the optimal policy for accepting bachelors.

Birth & Death Chains: Analysis & Probabilities Log in to Mediaspace to watch this video

Explores birth and death chains, hitting probabilities, and expected game durations in Markov chains.

Stochastic Models for Communications Log in to Mediaspace to watch this video

Covers mathematical tools for communication systems and data science, including information theory and signal processing.

Elements of Statistics: Probability, Distributions, and Estimation Log in to Mediaspace to watch this video

Covers probability theory, distributions, and estimation in statistics, emphasizing accuracy, precision, and resolution of measurements.

Continuous-Time Markov Chains: Definitions and State Probabilities Log in to Mediaspace to watch this video

Covers definitions and state probabilities of continuous-time Markov chains for communications.

Entropy and Disorder: Statistical Interpretation Log in to Mediaspace to watch this video

Explores the statistical interpretation of entropy and disorder through calculating micro-state multiplicity in different configurations.

Conditional Probability: Bayes Theorem Log in to Mediaspace to watch this video

Explores conditional probability and Bayes' theorem, demonstrating their application in real-life scenarios.

Poisson Process: Probability Law Log in to Mediaspace to watch this video

Covers the Poisson process in detail, focusing on the probability law and its applications.

Optimizing Join Operations: Challenges and Solutions Log in to Mediaspace to watch this video

Explores optimizing join operations in distributed systems, addressing skewness and introducing the 1-Bucket-Theta algorithm.

Likelihood Ratio Tests: Optimality and Applications Log in to Mediaspace to watch this video

Explores the theory and applications of likelihood ratio tests in statistical hypothesis testing.

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