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SEPARATION CUT-OFFS FOR BIRTH AND DEATH CHAINS。
The purpose of this paper is to present a probabilistic proof of the well-known result stating that the time needed by a continuous-time finite birth and death process for going from the left en...
At first, the concept of bridge reliability is given, followed with its mathematic model. Then, based on the analysis about the mechanism of the damage and repair of bridges, and the state diversion o...
Given a birth-death process on N with semigroup P_t and a discrete gradient D depending on a positive weight u, we establish intertwining relations of the form D P_t = Q_t D, where Q_t is the Feynman...
A strong negative dependence property for measures on {0, 1}n –stability – was recently developed in [5], by considering the zero set of the probability generating function. We extend this property to...
In this article a stochastic death process in which particles of two types combine and are removed from the system at a rate proportional to the product of their numbers is considered. A simpler app...
Quasi-birth and death processes with block tridiagonal matrices find many applications in various areas. Neuts gave the necessary and sufficient conditions for the ordinary ergodicity and found an exp...

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