Quasi-Stationary Distributions in Linear Birth and Death Processes
Wenbo Liu, Hanjun Zhang · Journal of Mathematics Research · 2011
The quasi-stationary distributions {aj} for a linear birth and death process is determined by two methods. The first methodobtains our desired results by computing directly while the second method bases on the relationship between {aj} and itslimiting of probability generating function. In addition, we also obtain the stationary distribution for a linear birth, deathand immigration process with the second method.