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Everything about Markov kernel

Concept in probability theory

In probability theory, a Markov kernel is a map that in the general theory of Markov processes plays the role that the transition matrix does in the theory of Markov processes with a finite state space. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Markov kernelA 5-minute orientation
  2. Skim a recent paper: SMC for Discrete-Time Nonlinear Semi-Markovian Switching Systems With Partly Unknown Semi-Markov KernelInfluential work since 2022
  3. Pick up a classic book: General irreducible Markov chains and non-negative operatorsThe most-reprinted book on the subject
  4. Read the landmark paper: Dynamic output-feedback control of linear semi-Markov jump systems with incomplete semi-Markov kernelCited 113 times
  5. Go sideways: Poisson-type random measureA closely related topic
  6. Go sideways: Giry monadA closely related topic

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🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

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