关于$E(Z_+ \log Z_+) = \infty$的超临界Bellman-Harris过程的Seneta常数
概率论
2007-05-23 v2
摘要
对于有限均值的超临界Bellman-Harris过程,存在数(Seneta常数),使得乘以时刻的种群大小几乎必然收敛于一个非退化极限。在粒子寿命分布为强非格点的假设下,我们获得了Seneta常数缓慢变部分的刻画。
引用
@article{arxiv.math/0512458,
title = {On Seneta's constants for the supercritical Bellman-Harris process with $E(Z_+ \log Z_+) = \infty$},
author = {Wolfgang P. Angerer},
journal= {arXiv preprint arXiv:math/0512458},
year = {2007}
}
备注
8 pages, final part of proof rewritten