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ARCGICE WP 2.2

ARCGICE WP 2.2. ERROR ESTIMATION OF NEW GEOID. C.C.Tscherning, University of Copenhagen, 2005-03-01 1. Parameter and error-estimation. Observations: Parameter is equal to N 0 mean sea surface height

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ARCGICE WP 2.2

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  1. ARCGICE WP 2.2 ERROR ESTIMATION OF NEW GEOID C.C.Tscherning, University of Copenhagen, 2005-03-01 1

  2. Parameter and error-estimation Observations: • Parameter is equal to N0 mean sea surface height • Ai = 1 if bias only • for all values of i which are associated with geoid heights. C.C.Tscherning, University of Copenhagen, 2005-01-13 2

  3. Parameter estimate • 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). C.C.Tscherning, University of Copenhagen, 2005-01-13 3

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

  5. Error-covariance estimates • The associated error covariance estimates are with • Equal to. C.C.Tscherning, University of Copenhagen, 2005-01-13 5

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