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A Markov chain (discrete-time Markov chain or DTMC[1]) named after Andrey
Markov, is a mathematical system that undergoes transitions from one state to another on a state
space. It is a random process usually characterized as memoryless: the next state depends only on
the current state and not on the sequence of events that preceded it. This specific kind of
"memorylessness" is called the Markov property. Markov chains have many applications as
statistical models of real-world processes.
Solution
A Markov chain (discrete-time Markov chain or DTMC[1]) named after Andrey
Markov, is a mathematical system that undergoes transitions from one state to another on a state
space. It is a random process usually characterized as memoryless: the next state depends only on
the current state and not on the sequence of events that preceded it. This specific kind of
"memorylessness" is called the Markov property. Markov chains have many applications as
statistical models of real-world processes.

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A Markov chain (discrete-time Markov chain or DTM.pdf

  • 1. A Markov chain (discrete-time Markov chain or DTMC[1]) named after Andrey Markov, is a mathematical system that undergoes transitions from one state to another on a state space. It is a random process usually characterized as memoryless: the next state depends only on the current state and not on the sequence of events that preceded it. This specific kind of "memorylessness" is called the Markov property. Markov chains have many applications as statistical models of real-world processes. Solution A Markov chain (discrete-time Markov chain or DTMC[1]) named after Andrey Markov, is a mathematical system that undergoes transitions from one state to another on a state space. It is a random process usually characterized as memoryless: the next state depends only on the current state and not on the sequence of events that preceded it. This specific kind of "memorylessness" is called the Markov property. Markov chains have many applications as statistical models of real-world processes.