Integral formulas for heterogeneous data in physical geodesy |
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Authors: | Lars Sjoberg |
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Institution: | (1) Division of Geodesy, The Royal Institute of Technology, S-100 44 Stockholm, Sweden |
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Abstract: | The least squares estimator is derived for a random stochastic process implied by one or two heterogeneous random stochastic
processes on a sphere. The solution can be regarded as least squares collocation in the continuous case. When the method is
applied in physical geodesy the statistical expectation is usually substituted by the global average and the method will then
give the minimum mean squares errors of the estimated quantities. The solutions can also be considered as generalizations
of the classical integral formulas in physical geodesy for heterogeneous data information. |
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Keywords: | |
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