Interparticle dependence in a linear death process subjected to a random environment

@inproceedings{Lefvre1990InterparticleDI,
  title={Interparticle dependence in a linear death process subjected to a random environment},
  author={Claude Lef{\`e}vre and Gy{\"o}rgy Michaletzky},
  year={1990}
}
Recently, Ball and Donnelly (1987) investigated the nature of the interparticle dependence in a death process with non-linear rates. In this note, after some remarks on their result, a similar problem is examined for a linear death process where the death rate per particle is a monotone function of the current state of a random environment. It is proved that if the exterior process involved is a homogeneous birth-and-death process valued in N, then the survival times of any subset of particles… CONTINUE READING

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