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Markov骨架过程积分型泛函的分布和矩及其应用举例

THE DISTRIBUTIONS AND MOMENTS OF INTEGRAL-TYPE FUNCTIONAL FOR MARKOV SKELETON PROCESSES AND THEIR APPLICATIONS

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【作者】 李俊平侯振挺

【Author】 LI JUNPING,HOU ZHENTING (Research Department, Changsha Railway University, Changsha 410075)

【机构】 长沙铁道学院科研所!410075

【摘要】 侯振挺等[1]引入了一类具有广泛应用前景的随机过程-Marboy骨架过程.本文研究这类过程积分型泛函的分布和矩及其计算问题.作为应用,我们得到了Doob过程,生灭过程积分型泛函的分布和矩的公式,尤其对于生灭过程,利用本文的方法也得到了[4]中定理1-3的结果.

【Abstract】 Z.T. Hou, Z.M. Liu, J.Z. Zou~[l] introduced a kind of stochastic processes with wide prospect on application. This paper is devoted to the distributions and moments of integral-type functional for this kind of processes and their calculation. As for application, we obtain the formulas of the distributions and moments for Doob-processes, Birth and Death processes. Particularly, for Birth and Death processes, we also obtain the same results as [4; theorem 1-3] by using the present methods.

【基金】 国家自然科学基金资助项目
  • 【文献出处】 应用数学学报 ,Acta Mathematicae Applicatae Sinica , 编辑部邮箱 ,2001年02期
  • 【分类号】O211
  • 【被引频次】8
  • 【下载频次】72
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