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OUTLIER DETECTION AND RELIABILITY OF ADJUSTMENT MODELS WITH SINGULAR COVARIANCE MATRICES
Authors:WANG JinlingCHENG YongqiTAO BenzaoWANG Jinling  lecturer  school of Geo-science and Surveying Engineering  WTUSM  Wuhan  China
Institution:WANG JinlingCHENG YongqiTAO BenzaoWANG Jinling,lecturer,school of Geo-science and Surveying Engineering,WTUSM,Wuhan,China,430079
Abstract:Up to now, outlier detection and reliability theory are generally based on the regular Gauss-Markov models, in which the covariance matrix of observations is positively definite. For the adjustment models with singular covariance matrix, the statistics for outlier detection are derived by the authors. The corresponding reliability theory is developed. And the application of the theory is demonstrated with a practical example.
Keywords:singular adjustment models  outliers  reliability theory
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