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The cross-validation technique is a popular method to assess and improve the quality of prediction by least squares collocation (LSC). We present a formula for direct estimation of the vector of cross-validation errors (CVEs) in LSC which is much faster than element-wise CVE computation. We show that a quadratic form of CVEs follows Chi-squared dis...
Least squares collocation (LSC) is one of the usual methods for the interpolation of the GPS displacement field and computation of the surface deformations. The goal of this research is to improve the quality of prediction by LSC using anisotropic covariance model in which the covariance depends on azimuth and the distance of points. The Restricted...
Outlier is an observation which has a blunder and can make bias for the estimated parameters derived by LS adjustment. Post adjustment blunder detection methods are generally based on residual testing. Two conventionally accepted methods are Baarda's data snooping and Pope's Tau test. Both of them are efficient only when one outlier is present in t...
The Cartesian to geodetic coordinate transformation problem is modeled as a minimization problem for the height of an object above the reference ellipsoid. Cartesian coordinate of footprint of the object is directly derived and a new closed form solution to transform geocentric rectangular coordinates to geodetic Coordinates is found. This formula...