ABSTRACT
This implies the temporally independent characteristic of εk .
2.2 Bayesian estimation considering spatial correlation structure
In order to improve the estimation and to enable local estimation, utilization of Bayesian estimation considering spatial correlation is proposed in this paper. This approach uses prior information of the parameters and the observed settlement data from all observation points to search for the best estimates of the unknown parameters, i.e. model parameters
(m1 and m0), auto-correlation distance (η), and the variance of the observation-model error (σ2ε ). The formulation consists of two statistical components, namely, the observation model and the prior information model. These two models will then be combined by Bayes’ theorem to obtain the solution.
