可靠性分析与数据探测

Reliability Analysis and Data Snooping

首先从方差比检验出发 ,建立了用于可靠性分析和数据探测的统一基本关系式 ,由此导出了在相关权情况下的可靠性指标Ri 的表达式 ,证明在权阵为对角阵时其特例就是常用的多余观测分量内可靠性指标ri,其一致性说明了Ri 的合理性。同时 ,提出了与可靠性度量密切联系的一种新的数据探测方法 ,实现了可靠性分析和数据探测在理论上的统一和实用上的一致。

Reliability analysis and data snooping are important contents in quality control of adjustment system.Baarda's reliability analysis and data snooping method is designed for independent observations and it is quite consummate both in theory and in practice.But they are researched respectively and constitute different systems.In this paper,we establish a uniform basic equation used for reliability analysis and data snooping from verifying the ratio of variance,then the expression of reliability index based on the correlation weight is obttained.We also prove that the expression applied to find minimal model errors and the weight matrix is not restricted to diagonal matrix.When the weight matrix is diagonally,the redundant observations' inner reliability index r i is a particular case of R i .The consistency proves that R i is reasonable.At the same time,a new data snooping method is presented,which is related to reliability analysis measurement.The consistency of reliability analysis and data snooping both in theory and in practice is a new viewpoint,which will be used in other fields of surveying data processing.