A Monte-Carlo technique for weight estimation in satellite geodesy

Journal of Geodesy

Volumn 76, Issue 11-12, 2003, Pages 641-652

  Kusche, J ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Gravity field modelling; Monte Carlo method; Satellite geodesy; Variance component estimation; Weight estimation

Indexed keywords

GEODESY; GRAVITY FIELD; MONTE CARLO ANALYSIS; OPTIMIZATION; SATELLITE ALTIMETRY; WEIGHT;

EID: 0037367015     PISSN: 09497714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00190-002-0302-5     Document Type: Article

References (29)

1. Crocetto N, Gatti M, Russo P (2000) Simplified formulae for the BIQUE estimation of variance components in disjunctive observation groups. J Geod 74: 447-457
2. European Space Agency (1999) Gravity Field and Steady-State Ocean Circulation Mission. Reports for mission selection, ESA SP-1233(1). ESTEC, Noordwijk
3. Förstner W (1979) Ein Verfahren zur Schätzung von Varianz- und Kovarianzkomponenten. Allg Vermess-Nachr 86: 446-453
4. Girard DA (1989) A fast 'Monte-Carlo Cross-Validation' procedure for large least squares problems with noisy data. Numer Math 56: 1-23
5. Golub, GH, van Loan CF (1996) Matrix computations. John Hopkins University Press, Baltimore, MD
6. Grafarend EW, d'Hone A (1978) Gewichtsschätzung in geodätischen Netzen. Series A, no. 88, German Geodetic Commission, Munich
7. Grafarend EW, Schaffrin B (1993) Ausgleichungsrechnung in linearen Modellen. BI Wissenschaftsverlag, Mannheim
8. Helmert FR (1924) Die Ausgleichungsrechnung nach der Methode der kleinsten Quadrate, 3rd edn. Teubner, Leipzig
9. Hutchinson MF (1990) A stochastic estimator of the trace of the influence matrix for Laplacian smoothing splines. Commun Statist Simulat Comput 19: 433-450
10. Kizilsu G, Sahin M (2000) SLR precision analysis for LAGEOS I and II. Earth Plan Space 52: 789-794
11. Koch K-R (1986) Maximum likelihood estimate of variance components. Bull Geod 60: 329-338
12. Koch K-R (1990) Bayesian inference with geodetic applications. Lecture Notes in Earth Sciences. Springer, Berlin Heidelberg New York
13. Koch K-R, Kusche J (2002) Regularization of geopotential determination from satellite data by variance components. J Geod 76: 259-268
14. Kusche J, Klees R (2002). Regularization of gravity field estimation from satellite gravity gradients. J Geod 76: 359-368
15. Lerch FJ (1991) Optimum data weighting and error calibration for estimation of gravitational parameters. Bull Geod 65: 44-52
16. Lucas JR, Dillinger WH (1998) MINQUE for block diagonal bordered systems such as those encountered in VLBI data analysis. J Geod 72: 343-349
17. Marsh JG, Lerch FJ, Putney BH, Christodoulis DC, Smith DE, Felsentreger TL, Sanchez BV, Klosko, SM, Pavlis EC, Martin TV, Robbins JW, Williamson RG, Colombo OL, Rowlands DD, Eddy WF, Chandler NL, Rachlin KE, Patel GB, Bhati S. Chinn, DS (1988) A new gravitational model for the Earth from satellite tracking data: GEM-TI. J Geophys Res 93(B6): 6169-6215
18. McCarthy JJ, Rowton S, Moore D, Pavlis DE, Luthcke SB, Tsaoussi LS (1993) GEODYN II systems description. NASA Goddard Space Flight Center, Greenbelt, MD
19. Purser RJ, Parrish DF (2000) A Bayesian technique for estimating continuously varying statistical parameters of a variational assimilation. Office note 429, NOAA National Weather Service/ National Centers for Environmental Prediction
20. Rao CR (1973) Linear statistical inference and its applications. Wiley, New York
21. Rao CR, Kleffe J (1988) Estimation of variance components and applications. Elsevier, Amsterdam
22. Reigber C (1989) Gravity field recovery from satellite tracking data. In: Sanso F, Rummel R (eds) Theory of satellite geodesy and gravity field determination. Lecture Notes in Earth Sciences, 25. Springer, Berlin Heidelberg New York
23. Sahin M, Cross PA, Sellers PC (1992) Variance component estimation applied to satellite laser ranging. Bull Geod 66: 284-295
24. Schaffrin B (1983) Varianz-Kovarianz-Komponenten-Schätzung bei der Ausgleichung heterogener Wiederholungsmessungen. Series C, no. 282, German Geodetic Commission, Munich
25. Schwintzer P (1990) Sensitivity analysis in least squares gravity field modelling - redundancy decomposition of stochastic a priori information. Internal rep Deutsches Geodätisches Forschungsinstitut, Munich
26. Schwintzer P, Reigber C, Bode A, Kang Z, Zhu SY, Massmann F-H, Raimondo JC, Biancale R, Balmino G, Lemoine JM, Moynot B, Marty JC, Barlier F, Boudon Y (1997) Longwavelength global gravity field models: GRIM4-S4, GRIM4-C4. J Geod 71: 189-208
27. Visser P, van den IJssel J (2000) GPS-based precise orbit determination of the very low Earth-orbiting gravity mission GOCE. J Geod 74: 590-602
28. Visser P, van den IJssel J, Koop R, Klees R (2001) Exploring gravity field determination from orbit perturbations of the European gravity mission GOCE. J Geod 75: 89-98
29. Zhang F, Huang C, Feng C, Dong X, Liao X (2001). Application of variance component estimation to precise orbit determination for ERS-2. Chin Astron Astrophys 25: 478-489