BI Qiuxiang, HE Fengxia. A Limit Property about Pure Birth Process in Random Environments[J]. Chinese Journal of Applied Probability and Statistics, 2001, 17(1): 34-38.
Citation: BI Qiuxiang, HE Fengxia. A Limit Property about Pure Birth Process in Random Environments[J]. Chinese Journal of Applied Probability and Statistics, 2001, 17(1): 34-38.

A Limit Property about Pure Birth Process in Random Environments

  • 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.
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