Gross Error Detection and Reliability Theory of Singular Adjustment Models

Up to now,gross error detection and reliability theory are generally baed on the Gauss-Markov models, in which the covariance mains of obeervations is positive definite.For the adjustment models with singular covariance matrix,the statistics of gross error detection are derived by the author.The corresponding reliability theory is developed from hypothesis test and the application of the theory is demonstrated with a practical example.