An Extended Birth-Death Processes with Catastrophes——Stochastically Monotone, Feller and Symmetric Properties

具有突变率的广义生—灭过程——随机单调性、Feller性及可配称性(英文)

A new structure with the special property that catastrophes is imposed to ordinary Birth_Death processes is considered. The necessary and sufficient conditions of stochastically monotone, Feller and symmetric properties for the extended birth_death processes with catastrophes are obtained.