July 2025
Beginner to intermediate
448 pages
15h 1m
English
Content preview from Statistics Every Programmer Needs
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11 Predicting future states with Markov analysis
This chapter covers
- States, state probabilities, and transition matrices
- Vector of state probabilities
- Equilibrium conditions
- Absorbing states
- Matrix operations in Markov chains
Markov analysis is a mathematical technique used to predict future states of a system—such as a market, a machine, or a population—based on its current state and the probabilities of transitioning from one state to another. It is applicable specifically to systems that exhibit the Markov property, meaning future states depend only on the present state and not on the sequence of past events. This memoryless characteristic makes Markov analysis particularly useful for modeling dynamic processes where past influences ...
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