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Lecture
Markov Chains: State Classification
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Markov Chains: State Classification
Covers the classification of states in discrete-time Markov chains.
Discrete-Time Markov Chains: Definitions
Covers the definitions and state probabilities of discrete-time Markov chains.
Birth & Death Chains: Analysis & Probabilities
Explores birth and death chains, hitting probabilities, and expected game durations in Markov chains.
Discrete-Time Markov Chains: Definitions
Covers the definitions and state probabilities of discrete-time Markov chains.
Stochastic Models for Communications
Covers the fundamentals of stochastic models for communications, focusing on Markov chains and Poisson processes.
Stochastic Models for Communications
Covers stochastic models for communication systems, including concepts like stochastic processes and Markov chains.
Applied Probability & Stochastic Processes
Covers applied probability, Markov chains, and stochastic processes, including transition matrices, eigenvalues, and communication classes.
Stochastic Models for Communications: Discrete-Time Markov Chains - First Passage Time
Explores discrete-time Markov chains, emphasizing first passage time probabilities and minimal solutions.
Invariant Distributions: Markov Chains
Explores invariant distributions, recurrent states, and convergence in Markov chains, including practical applications like PageRank in Google.
Asymptotic Behavior of Markov Chains
Explores recurrent states, invariant distributions, convergence to equilibrium, and PageRank algorithm.