Optimal Recursive Estimation of Raw Data

We present a new approach to the optimal estimation of random vectors. The approach is based on a combination of a specific iterative procedure and the solution of a best approximation problem with a polynomial approximant. We show that the combination of these new techniques allow us to build a computationally effective and flexible estimator. The strict justification of the proposed technique is provided. This work was supported by the Australian Research Council under the ARC Large Grant Scheme.