作者：Dou; Dou; LI; Mei; ZHANGcriticalbranchingprocessimmigrationlargedeviations
摘要：In this paper, we investigate the asymptotic behaviors of the critical branching process with immigration {Zn, n ≥ 0}. First we get some estimation for the probability generating function of Zn. Based on it, we get a large deviation for Zn+1/Zn. Lower and upper deviations for Zn are also studied. As a by-product, an upper deviation for max1≤i≤n Zi is obtained.
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