随机环境中纯生过程的一个极限性质

A Limit Property about Pure Birth Process in Random Environments

本文证明了随机环境中纯生过程的一个强极限性质，假设环境为一混合序列，不必平稳，且具有有限均值，混合系数由环境序列中一对随机变量而定．

In this article, we investigate the pure-birth processes in random environments. The environments are mixing sequences with finite mean and not necessarily stationary The mixing coefficient is involved only a pair of variables in the sequences. We prove an almost surely limit property about the process, which is generalization of a result given in [1,2].