Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 97073, 16 pages
Exact transient solution of a state-dependent birth-death process
Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India
Received 2 December 2004; Revised 12 May 2005; Accepted 13 May 2005
Copyright © 2006 P. R. Parthasarathy and R. Sudhesh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A power series expression in closed form for the transient
probabilities of a state-dependent birth-death
process is presented with suitable illustrations.