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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
【摘要】 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.
【Abstract】 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].
【基金】 国家自然科学基金和广东省自然科学基金!(编号:980287); 广发证券博士后科研基金
- 【文献出处】 应用概率统计 ,Chinese Journal of Applied Probability and Statisties , 编辑部邮箱 ,2001年01期
- 【分类号】O211.62
- 【被引频次】1
- 【下载频次】52