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On the Reliability for the Situation of Correlated Observations

Ou Jikun (Institute of Geodesy and Geophysics, Laboratory of Dynamical Geodesy, Chinese Academy of Sciences, Wuhan,Hubei, 430077)  
The reliability is one of the important factors considered in the optimal design of surveying networks and the control of data quality. For the independent observations, the reliability of a surveying network may be indicated by the redundancy measure (or called as component of the number of redundant observations). But for correlated observations, the redundancy measures is over [0,1], at times even some of them are negative, so that the redundancy measures may not reflect the characteristics of the reliability. A new measurable indication of reliability is suggested in this paper, i.e. γ i=(PR) ii /p ii , here P is the weight matrix of observations, R the adjustment factor matrix, the subscript i represents the place of the observation i.γ i is in [0,1]. The smaller γ i is, the poorer the reliability corresponding to the observation i is. The new indication γ i is united one. It is suitable not only for independent observations, but also correlated. In addition, it may unite the internal and external reliability. The opinion of the author is that the reliability of surveying network is completely determined by the matrices by R and P, so that the noncentral parameter λ 0 is not needed to be included in the indication of reliability.
【Fund】: 国家自然科学基金 中科院资源与生态环境研究重点项目 国家攀登项目子课题 中科院动力大地测量学开放研究实验室项目
【CateGory Index】: P207
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