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### Contents

Parameter estimation and the associated mean square error | 5 |

Quality measures | 23 |

Gravity field observations | 33 |

Copyright | |

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### Common terms and phrases

approximate ATPA bias biased estimation chapter combination of SGG compact operator computed condition number contribution measure degree and order degree coefficients degree-order variances diagonal discussed downward continuation Earth eigenvalues equations error covariance error degree variances error propagation figure filter finite frequencies function generalised singular values geoid errors global gravity field gravimetry gravity anomalies gravity field model gravity field solution ill-posed ill-posed problem interpolation error inverse problem iteration L-curve least-squares solution linear low order coefficients maximum bsr maximum degree mean square error mGal minimising minimum MSE mission 2a model error MSEM normal matrix operator parameter choice rules polar gap potential coefficients Propagated errors quality description regularisation methods regularisation parameter Rummel Schrama second derivative constraint SGG only solution shown signal constraint simulated singular value decomposition solved spherical harmonic spherical harmonic coefficients SST observations Tikhonov regularisation TR with signal variance-covariance matrix white noise yields zero