Review of PEIV Model Parameter Estimation Theory and Its Applications

  Objectives  Partial errors-in-variables(PEIV) model is a more general form of errors in variables(EIV) model. It has been widely used in the data processing of global navigation satellite system(GNSS), coordinate conversion, deformation monitoring and data fitting in the past ten years.

  Methods  First, the development history of PEIV model is reviewed. Then, five core problems of PEIV model are summarized and analyzed, including parameter estimation algorithm, precision estimation, random model estimation, expansion algorithm and data processing application. Finally, the applications of PEIV model are outlined.

  Results  We point out three questions for further research, including how to process big data by PEIV parameter estimation method, how to correct the bias of weighted total least squares(WTLS) adjustment by sampling method, and how to derive the formula of higher order parameter estimation covariance matrix are.

  Conclusions  This review paper aims to further promote the development of surveying and mapping data processing and provide readers with suggestions and references.