| 引用本文: | 唐有荣,刘再明,候振挺.广生灭过程的积分型随机泛函.[J].国防科技大学学报,1998,20(4):97-100.[点击复制] |
| Tang Yourong,Lu Zaiming,Hou Zhenting.The Integral Random Functional of the Generalized Birth And Death Process[J].Journal of National University of Defense Technology,1998,20(4):97-100[点击复制] |
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| 广生灭过程的积分型随机泛函 |
| 唐有荣1, 刘再明2, 候振挺2 |
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(1.国防科技大学 系统工程与数学系 湖南 长沙 410073;2.长沙铁道学院科研所 湖南 长沙 410075)
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| 摘要: |
| 讨论了广生灭过程的积分型随机泛函的概率分布, 给出了分布的拉氏变换所满足的差分方程, 且求出了它们的解 |
| 关键词: 广生灭过程, 积分型随机泛函, 首达时间 |
| DOI： |
| 投稿日期：1997-12-05 |
| 基金项目: |
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| The Integral Random Functional of the Generalized Birth And Death Process |
| Tang Yourong1, Lu Zaiming2, Hou Zhenting2 |
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(1.Department of Systems Engineering and Mathematics, NUDT, Changsha, 410073;2.Research Department, Changsha Railway University, Changsha, 410075)
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| Abstract: |
| In this paper, the probability distribution of the integral random functional of the gerneralized birth and death processes is discussed, while their Laplace transform proper difference equation and their solution are offered. |
| Keywords: Generalized birth and death porcesses, integral random functional, first arrive time |
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