1. ARCGICE WP 1.4 ERROR ESTIMATES IN SPATIAL AND SPECTRAL DOMAINS C.C.Tscherning, University of Copenhagen, 2005-03-01 1

2. Observations: Parameter is equal to N 0 mean sea surface height A i = 1 if bias only for all values of i which are associated with geoid heights. Parameter and error-estimation C.C.Tscherning, University of Copenhagen, 2005-01-13 2

3. Then an estimate of T and of the parameters X are obtained as where W is the a-priori weight matrix for the parameters (Generally the zero matrix). Parameter estimate C.C.Tscherning, University of Copenhagen, 2005-01-13 3

4. The associated error estimates are with the mean square error of the parameter vector and the mean square error of an estimated quantity. Error-estimates C.C.Tscherning, University of Copenhagen, 2005-01-13 4

5. 1.From knowledge of survey type or data- collection method. 2.From comparison with independent sources such as MSS from WP 1.2 3.From comparison of two sources in same area. 4.From covariance-function of data Spatial errors C.C.Tscherning, University of Copenhagen, 2005-01-13 5

6. From comparison of two sources in same area. Covariance function and PSD of errors will be computed using covariance-propagation. Spectral errors C.C.Tscherning, University of Copenhagen, 2005-01-13 6

7. 1.From knowledge of survey type or data- collection method. 2.From comparison with independent sources such as MSS from WP 1.2 3.From comparison of two sources in same area. Spatial errors C.C.Tscherning, University of Copenhagen, 2005-01-13 7

8. Least-squares collocation with parameters may be used to combine data dependent on gravity field and a few other physical parameters. Data-combination C.C.Tscherning, University of Copenhagen, 2005-01-13 8