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A Markov chain associated with the minimal quasi-stationary distribution of birth–death chains
1995
Journal of Applied Probability
We show that if the limiting conditional distribution for an absorbed birth–death chain exists, then the chain conditioned to non-absorption converges to a Markov chain with transition probabilities given by the matrix associated with the minimal quasi-stationary distribution.
doi:10.2307/3214918
fatcat:uqx5efddcrfbnex4zkrs74uhcq