I was wondering if the holding times are independent in a continuous-time Markov chain?
Similar question in a semi-Markov process?
From what I have read, it is not mentioned that the holding times are independent in both cases, but it is in Poisson processes and in renewal processes. So I would like to know if independent holding times are true in the two more general cases: a continuous-time Markov chain and a semi-Markov process, or if there are some famous counterexamples?
Thanks and regards!