| 一类重随机Poisson过程的等待时间的分布密度公式及其在害虫预测预报中的应用 |
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| 引用本文： | 李时银.一类重随机Poisson过程的等待时间的分布密度公式及其在害虫预测预报中的应用[J].生物数学学报,2000,15(2):211-216. |
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| 作者姓名： | 李时银 |
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| 作者单位： | 厦门大学数学系厦门 361005 |
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| 摘 要： | 对具有强度过程λｔ（Ｘ）＝Ｘ＾αＶ（ｔ）（α∈Ｒ＋）的重随机Ｐｏｉｓｓｏｎ过程「Ｎｔ：ｔ≥ｔ０」，推导出其等待时间Ｗｎ的分布密度函数ｆＷｎ（ｔ）的表达式；讨论了进一步推广所得结果的途径；利用所得结果解决了一个预测害虫最适防治时刻的问题。
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| 关 键 词： | 重随机Poisson过程 Wn fwn（t） 害虫 预测预报 |
| 文章编号： | 1001-9626(2000)02-0211-06 |
| 修稿时间： | 1998年10月31 |
A Formula of the Distribution Density of Waiting Time for a Class of Doubly Stochastic Poisson Process and It's Application in Forecasting Insects |
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| Li Shiyin.A Formula of the Distribution Density of Waiting Time for a Class of Doubly Stochastic Poisson Process and It's Application in Forecasting Insects[J].Journal of Biomathematics,2000,15(2):211-216. |
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| Authors: | Li Shiyin |
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| Abstract: | In this paper, a formula of distribution density function fwn(t) of waiting time for the doubly stochastic poisson process{Nt:t≥t0} with intensity process λt(X)=Xa V(t)(a∈R+) is deduced; the way to extend the results is discussed and the problem of forecasting the optimal time of preventing pests is solved by applying the results acquired. |
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| Keywords: | Doubly stochastic Poisson process Waiting moment Distribution density function Quantity of pest tribes Optimal moment of preventing insects |
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