奇异平差模型的粗差检验与可靠性理论

Gross Error Detection and Reliability Theory of Singular Adjustment Models

本文推导了奇异平差模型参数估计的一般公式，构造了粗差检验的统计量，通过假设检验研究了相应的可靠性理论，并借助于一个实例阐述了这一理论的应用。

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.