Quasi-Stationary Distributions in Linear Birth and Death Processes

Wenbo Liu, Hanjun Zhang


The quasi-stationary distributions {aj} for a linear birth and death process is determined by two methods. The first method
obtains our desired results by computing directly while the second method bases on the relationship between {aj} and its
limiting of probability generating function. In addition, we also obtain the stationary distribution for a linear birth, death
and immigration process with the second method.

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DOI: http://dx.doi.org/10.5539/jmr.v3n1p27

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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