共查询到3条相似文献,搜索用时 0 毫秒
1.
A new class of branching models, the general collision branching processes with two parameters, is considered in this paper.
For such models, it is necessary to evaluate the absorbing probabilities and mean extinction times for both absorbing states.
Regularity and uniqueness criteria are firstly established. Explicit expressions are then obtained for the extinction probability
vector, the mean extinction times and the conditional mean extinction times. The explosion behavior of these models is investigated
and an explicit expression for mean explosion time is established. The mean global holding time is also obtained. It is revealed
that these properties are substantially different between the super-explosive and sub-explosive cases.
This work was partially supported by National Natural Science Foundation of China (Grant No. 10771216), Research Grants Council
of Hong Kong (Grant No. HKU 7010/06P) and Scientific Research Foundation for Returned Overseas Chinese Scholars, State Education
Ministry of China (Grant No. [2007]1108) 相似文献
2.
We study multi-type Bienaymé–Galton–Watson processes with linear-fractional reproduction laws using various analytical tools like the contour process, spinal representation, Perron–Frobenius theorem for countable matrices, and renewal theory. For this special class of branching processes with countably many types we present a transparent criterion for R-positive recurrence with respect to the type space. This criterion appeals to the Malthusian parameter and the mean age at childbearing of the associated linear-fractional Crump-Mode-Jagers process. 相似文献