期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Some Studies on the Compound Poisson Sheethspace
摘要/Abstract
复合Poisson单是一种特殊的2参数独立增量过程,也是最典型的状态离散的2参数马氏过程.定义了复合Poisson单,讨论了它的基本性质和2参数马氏性,得到了一系列重要结果,分析了复合Poisson单不存在3点转移函数族的原因,利用扩大状态空间的方法,得到了扩状复合Poisson单及其性质定理,列举了复合Poisson单的应用实例.
The compound Poisson sheet is a special two-parameter independent incremental process,and it is also one of the most typical discrete two-parameter Markov processes.The compound Po isson sheet is defined,the basic properties and the Markov propert ies of the compound Poisson sheet are discussed.A series of important results are gotten.The reasons why there is no three-point transfer function family are given.The def inition properties and theories of the extended compound Poisson sheet by expanding the state space are obtained,and the application examples of the compound Poisson sheet are quoted.