Supported by the National Natural Science Foundation of China (Grant No. 10571051 and 10871064 );the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20040542006);the Key Labor. of Coput.Stoch.Math.Univ. of Hunan (No. 09K026)
The state 0 of a birth and death process with state space E = {0, 1, 2,....} is a barrier which can be classified into four kinds: reflection, absorption, leaping reflection, quasi-leaping reflection. For the first, ...