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Stochastic Approximation of the Paths of Killed Markov Processes Conditioned on Survival

Probability 2022-02-10 v2

Abstract

Reinforced processes are known to provide a stochastic representation for the quasi-stationary distribution of a given killed Markov process - describing the killed Markov process at fixed time instants. In this paper we shall adapt the construction to provide a pathwise description. We also obtain a stochastic approximation for the quasi-limiting distributions of reducible killed Markov processes as a corollary.

Keywords

Cite

@article{arxiv.2112.02941,
  title  = {Stochastic Approximation of the Paths of Killed Markov Processes Conditioned on Survival},
  author = {Oliver Tough},
  journal= {arXiv preprint arXiv:2112.02941},
  year   = {2022}
}

Comments

12 pages, 1 figure