摘要
本文讨论的两个时偶问题涉及来一个泊松过程与一个更新过程穿越时间和更新数的联合分布.利用向量马氏过程方法得到了这些联合分布的变换,给出了一个与分布均值有关量的数值结果.
In this paper, two dual problems how to find some joint distributions ofcrossing time and renewal numbers related with a Poisson and a renewal process are discussed.The joint transform functions of these joint distributions are obtained by means of the vectorMarkov process method. Numerical results of a related quantity with the mean of distributionare given.
出处
《系统科学与数学》
CSCD
北大核心
1997年第2期116-127,共12页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金
关键词
向量马氏过程
更新过程
联合分布
泊松过程
Vector Markov process, renewal process, joint distribution, reliability, queueing theory.