On a Symmetric, Nonlinear Birth-Death Process with Bimodal Transition Probabilities
نویسندگان
چکیده
We consider a bilateral birth-death process having sigmoidal-type rates. A thorough discussion on its transient behaviour is given, which includes studying symmetry properties of the transition probabilities, finding conditions leading to their bimodality, determining mean and variance of the process, and analyzing absorption problems in the presence of 1 or 2 boundaries. In particular, thanks to the symmetry properties we obtain the avoiding transition probabilities in the presence of a pair of absorbing boundaries, expressed as a series.
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عنوان ژورنال:
- Symmetry
دوره 1 شماره
صفحات -
تاریخ انتشار 2009