Existence of Non Trivial Quasi Stationary Distributions in the Birth and Death Chain
نویسنده
چکیده
We study conditions for the existence of non trivial quasi stationary distributions for the birth and death chain with 0 as absorbing state. We reduce our problem to a continued fractions one that can be solved by using extensions of classical results of this theory. We also prove that there exist normalized quasi stationary distributions if and only if 0 is geometrically absorbing.
منابع مشابه
Some Properties of Quasi Stationary Distributions in the Birth and Death Chains: a Dynamical Approach
We study the existence of non-trivial quasi-stationary distributions for birth and death chains by using a dynamical approach. We also furnish an elementary proof of the solidarity property.
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