Approximations with least maximum error

Approximations of the GOCE error variance-covariance matrix for least-squares estimation of height datum offsets

One main geodetic objective of the European Space Agency’s satellite mission GOCE (gravity eld and steady-state ocean circulation explorer) is the contribution to global height system uni cation. This can be achieved by applying the Geodetic Boundary Value Problem (GBVP) approach. Thereby one estimates the unknown datum offsets between different height networks (datum zones) by comparing the ph...

Adaptive Least Error Rate

Least squares and maximum likelihood

Least squares approximations of power series

The classical least squares solutions in C[−1,1] in terms of linear combinations of ul-traspherical polynomials are extended in order to estimate power series on (−1,1). Approximate rates of uniform and pointwise convergence are obtained, which correspond to recent results of U. Luther and G. Mastroianni on Fourier projections with respect to Jacobi polynomials.

The dual parameterization approach to optimal least square FIR filter design subject to maximum error constraints