Construction of Ito's excursion theory on birth and death processes
Wang Zhen-hui · Journal of Nanyang Normal University · 2010
This paper combines birth and death processes with Ito's excursion theory,and builds it's frame structure under Ito's excursion which mainly includes local time,inverse local time,excursion,excursion space,excursion measure.It shows that {Yt,t∈DY} is a poisson point processe,and birth and death processes have Markov property under P(·).The excursion theory for birth and death processes is established.