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- W4237291229 abstract "We consider the problem of conditioning a continuous-time Markov chain (on a countably infinite state space) not to hit an absorbing barrier before time T ; and the weak convergence of this conditional process as T → ∞. We prove a characterization of convergence in terms of the distribution of the process at some arbitrary positive time, t , introduce a decay parameter for the time to absorption, give an example where weak convergence fails, and give sufficient conditions for weak convergence in terms of the existence of a quasi-stationary limit, and a recurrence property of the original process." @default.
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- W4237291229 date "1995-12-01" @default.
- W4237291229 modified "2023-10-18" @default.
- W4237291229 title "Weak convergence of conditioned processes on a countable state space" @default.
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- W4237291229 doi "https://doi.org/10.1017/s0021900200103377" @default.
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