论文标题
分布式疾病检测模型
A Model of Distributed Disorders Detection
论文作者
论文摘要
本文处理多元随机过程中的疾病检测。我们考虑多维泊松过程或多元更新过程。这类过程可以用作分布式检测系统的描述。多元更新过程可以看作是随机向量的序列,其中一部分坐标是保持时间的,其他则是跳跃的大小和流的索引,在此出现新事件。假定在每流中,可以进行两种更改:在保持时间或跳跃分布的大小中。变化点之间的各种特定相互关系是可能的。研究的目的是得出实现指定标准最佳价值的检测器。在某些情况下,已经获得了变化点力矩的估计。对于不指定的变更点顺序的依赖流已经出现了困难。提出的结果表明,对通用模型中检测器的构建的进一步研究。
The paper deals with disorders detection in the multivariate stochastic process. We consider the multidimensional Poisson process or the multivariate renewal process. This class of processes can be used as a description of the distributed detection system. The multivariate renewal process can be seen as the sequence of random vectors, where parts of its coordinates are holding times, others are the size of jumps and the index of stream, at which the new event appears. It is assumed that at each stream two kinds of changes are possible: in the holding time or in the size of jumps distribution. The various specific mutual relations between the change points are possible. The aim of the research is to derive the detectors which realize the optimal value of the specified criterion. The change point moment estimates have been obtained in some cases. The difficulties have appeared for the dependent streams with unspecified order of change points. The presented results suggest further research on the construction of detectors in the general model.