The bivariate maximum process and quasi-stationary structure of birth-death processes

Julian Keilson and Ravi Ramaswamy

Stochastic Processes and their Applications, 1986, vol. 22, issue 1, 27-36

Abstract: Let N(t) be a birth-death process on {0,1,...} with state 0 reflecting and let qTK be the quasi-stationary distribution of the truncated process on {0,1,..., K} with [lambda]K > 0. It is shown that the sequence (qTK) increases stochastically with K. The bivariate Markov chain (M(t), N(t)) where M(t)=max0

Keywords: birth-death; processes; quasi-stationary; structure; stochastic; monotonicity; maximum; process (search for similar items in EconPapers)
Date: 1986
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