| Poisson 点过程及其性质 |
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| 引用本文： | 陈丽,王桂花. Poisson 点过程及其性质[J]. 新乡学院学报(自然科学版), 2012, 0(6): 483-484,494 |
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| 作者姓名： | 陈丽 王桂花 |
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| 作者单位： | 郑州师范学院数学与统计学院 |
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| 基金项目： | 河南省科技厅软科学研究项目(122400450526) |
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| 摘 要： | 研究了 Possion 点过程和 Levy 过程，得到了以下结论：Possion 点过程是平稳过程，其特征测度是有限的；Levy 过程是适应于滤子的强 Markov 过程；最后得到了 Levy 过程的概率测度与 Possion 点过程的概率测度之间的关系.
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| 关 键 词： | 点过程 测度 概率空间 |
Poisson Point Process and its Properties |
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| CHEN Li,WANG Gui-hua. Poisson Point Process and its Properties[J]. , 2012, 0(6): 483-484,494 |
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| Authors: | CHEN Li WANG Gui-hua |
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| Affiliation: | (School of Mathematics and Statistics,Zhengzhou Normal University,Zhengzhou 450044,China) |
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| Abstract: | Through studying of Possion process and Levy process, some conclusions are obtained： eossion point process is stationary point process, and its characteristic measurement is finite measure; Levy process is adapted to filter the strong Markov process; the intrinsic relationship between non-negative measurable function and nonnegative predictable processes. Finally, the relationship of the probability measure between Levy process and Possion process is got. |
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| Keywords: | point process measure probability space |
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