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I have a presentation to give on Markov Renewal Theory and Semi Markov processes but I cannot really find enough "interesting" examples to talk about, apart from the usual finance-related ones. It seems to be all about equations and integrals and seems quite dull to me.

I am not sure if the book I am referring to, Cinlar, is good for this purpose. Markov chain has many interesting examples and topics to talk about, like card shuffling, random walks, etc. I am not sure if such interesting elements are there in semi markov processes, behind all those limit theorems and equations, it seems.

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  • $\begingroup$ "Interesting" is subjective, but Markov-modulated Poisson processes are one area to look into. $\endgroup$ – Math1000 Nov 28 '17 at 7:38
  • $\begingroup$ Thanks for the reference but a glance at references tells me it deals with Markov chains, not really semi-Markov processes or Markov Renewal Theory. I am really talking about "nice" applications, like modelling something using SMP, or an application to artificial intelligence or something like that $\endgroup$ – Landon Carter Nov 29 '17 at 3:05

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