= Nonexplosive continuous-time Markov chain
A continuous-time <Markov chain> with finite <holding rate of a continuous-time Markov chain>[holding rates] is <nonexplosive continuous-time Markov chain>[nonexplosive] when its jump times have no finite accumulation <almost surely>. It then remains in its specified <state space> at every finite time, rather than being lost to a cemetery state after infinitely many jumps. Bounded rates are sufficient for <nonexplosion of a continuous-time Markov chain>[nonexplosion], but finite rates at individual states alone are not.
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