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The book delves into the intricate theory of Markov chains and processes, emphasizing their probabilistic foundations rather than merely viewing them as a subset of matrix theory. It explores the implications of raising transition probability matrices to higher powers and the significance of exponentiating R(P - I), where R is a diagonal matrix. The author aims to highlight the essential role of probability in understanding these concepts, arguing that dismissing this relationship undermines the richness of the theory and its applications in modeling real-world scenarios.
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An Introduction to Markov Processes, Daniel W. Stroock
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- Année de publication
- 2005
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