On separability for deformations and gross errors

According to the testing theory with two alternative hypotheses, the theory of detectability for a deformation monitoring network has been extended to the theory of separability for deformations and gross errors. With this theory it can be evaluated whether deformations and gross errors can be statistically distinguished each other, which is very important for deformation analysis. General formulas are established and the separability between deformations and gross errors for some typical deformation models is investigated. An example of separating gross errors from deformations is given.