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Quasi-stationarity and quasi-ergodicity of general Markov processes
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作者 ZHANG JunFei LI ShouMei SONG RenMing 《Science China Mathematics》 SCIE 2014年第10期2013-2024,共12页
In this paper,we study the quasi-stationarity and quasi-ergodicity of general Markov processes.We show,among other things,that if X is a standard Markov process admitting a dual with respect to a finite measure m and ... In this paper,we study the quasi-stationarity and quasi-ergodicity of general Markov processes.We show,among other things,that if X is a standard Markov process admitting a dual with respect to a finite measure m and if X admits a strictly positive continuous transition density p(t,x,y)(with respect to m)which is bounded in(x,y)for every t>0,then X has a unique quasi-stationary distribution and a unique quasi-ergodic distribution.We also present several classes of Markov processes satisfying the above conditions. 展开更多
关键词 Markov processes quasi-stationary distributions mean ratio quasi-stationary distributions quasiergodicity distributions
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