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In: Contributions to Geophysics and Geodesy, vol. 40, no. 1
Mehdi Eshagh

Error calibration of quasi-geoidal, normal and ellipsoidal heights of Sweden using variance component estimation

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Year, pages: 2010, 1 - 30
Keywords: combined adjustment, error calibration, singularity, stochastic model

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Errors of estimated parameters in an adjustment process should be scaled according to the size of the estimated residuals or misclosures. After computing a quasi-geoid (geoid), its biases and tilts, due to existence of systematic errors in the terrestrial data, are removed by fitting a corrective surface to the misclosures of the differences between the GNSS/levelling data and the quasi-geoid (geoid). Variance component estimation can be used to re-scale or calibrate the error of the GNSS/levelling data and the quasi-geoid (geoid) model. This paper uses this method to calibrate the errors of the recent quasi-geoid model, the GNSS and the normal heights of Sweden. Different stochastic models are investigated in this study and based on a 7-parameter corrective surface model and a three-variance component stochastic model, the calibrated error of the quasi-geoid and the normal heights are 6 mm and 5 mm, respectively and the re-scaled error of the GNSS heights is 18 mm.

How to cite:

ISO 690:
Eshagh, M. 2010. Error calibration of quasi-geoidal, normal and ellipsoidal heights of Sweden using variance component estimation. In Contributions to Geophysics and Geodesy, vol. 40, no.1, pp. 1-30.

APA:
Eshagh, M. (2010). Error calibration of quasi-geoidal, normal and ellipsoidal heights of Sweden using variance component estimation. Contributions to Geophysics and Geodesy, 40(1), 1-30.