Galton-Watson分支过程的谱半径

The spectral radiuses of Galton-Watson branching processes which describes the speed of the process escaping from any state are calculated.Under the condition of irreducibility,it is show that this is equal to the spectral radius of Jacobi matrix of its generating function.     

人口数相依的两性分支过程的极限性质

本文研究了后代分布依赖于人口数的两性Galton-Watson分支过程, 在对后代分布的适当假设下,对于上临界的情况, 我们研究了有关过程的几乎处处收敛的极限性质.     

SOME PROPERTIES OF GALTON-WATSON BRANCHING PROCESSES IN VARYING ENVIRONMENTS

This article deals with some properties of Galton-Watson branching processes in varying environments. A necessary and suffcient condition for relative recurrent state is presented, and a series of ratio limit properties of the transition probabilities are showed.     

左截断右删失下一类泛函估计的渐近性质

在左截断右删失下,本文讨论了一类广义Von－Mises泛函估计的渐近性质．在一定条件下,得到了此类泛函估计的强逼近和U-统计量表示,并由此得出它的强相合性、渐近正态性及重对数律．