Abstract: On the basis of reference1, the paper presents a linear biased estimation, which is called the corrective estimation of pseudo-inverse adjustment of rank-defect net of unknown parameter vectors in the model of rank-defect surveying adjustment with weight. It also discusses in great detail the superiority, admissibility and new bias of the estimation in improving the results of least squares adjustment in terms of the mean squared error. Finally, the results mentioned above are tested by an example.