Ai. Zeifman, UPPER AND LOWER BOUNDS ON THE RATE OF CONVERGENCE FOR NONHOMOGENEOUS BIRTH AND DEATH PROCESSES, Stochastic processes and their applications, 59(1), 1995, pp. 157-173
We consider nonhomogeneous birth and death processes and obtain upper
and lower bounds on the rate of convergence. Homogeneous birth and dea
th processes and birth and death processes on a finite state space are
studied as special cases.