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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
【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.
【关键词】 Markov骨架过程;
积分型泛函;
分布;
【Key words】 Markov Skeleton process; integral-type functional; distribution;
【Key words】 Markov Skeleton process; integral-type functional; distribution;
【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