Variance-Covariance Estimation and Statistical Testing of Satellite Networks

摘要

Variance-covariance estimates for satellite networks are estimated for single-session solutions and also for the signal components of the control points. The combination of these two estimates form an efficient expression for a simultaneous network adjustment for satellite networks. The second part of this work deals with the statistical analysis of the residuals using analysis of variance test and hypothesis test in least-squares collocation. The analysis of variance test depends on the discrepancies within each session of independently observed baselines and the discrepancies between the session of independently observed baselines. An independent test of the multi-session network adjustment was applied using least squares collocation. Here, the applications of the hypothesis tests to the estimated parameters, signals and covariance functions are discussed. A numerical example, using the Bass Strait survey is demonstrated.