Computable bounds for the decay parameter of a birth-death process

2011-09-28T10:55:43Z (GMT) by David Sirl Hanjun Zhang Phil Pollett
We present bounds on the decay parameter for absorbing birth--death processes adapted from results of Chen (2000), (2001). We address numerical issues associated with computing these bounds, and assess their accuracy for several models, including the stochastic logistic model, for which estimates of the decay parameter have been obtained previously by Nåsell (2001).