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Article

Tuček, Pavel ; Marek, Jaroslav
Uncertainty of coordinates and looking for dispersion of GPS receiver. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 45 (2006), issue 1, pp. 159-173
MSC: 62F10, 62F30, 62H12, 62J05, 62J10, 62P30 | MR 2321308 | Zbl 1117.62502
Keywords:
two stage regression models; BLUE; uncertainty of the type A and B; confidence ellipsoids; variance components
Summary:
The aim of the paper is to show some possible statistical solution of the estimation of the dispersion of the GPS receiver. The presented method (based on theory of linear model with additional constraints of type I) can serve for an improvement of the accuracy of estimators of coordinates acquired from the GPS receiver.
References:
[1] Kubáček L., Kubáčková L.: Statistics, Metrology. : Publishing House of Palacký University, Olomouc. 2000, (in Czech)
[2] Kubáčková L.: Joint confidence and threshold ellipsoids in regression models. Tatra Mountains Math. Publ. 7 (1996), 157–160. MR 1408465
[3] Marek J.: Estimation in connecting measurements. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 42 (2003), 69–86. MR 2056023 | Zbl 1060.62062
[4] Rao C. R., Mitra S. K.: Generalized Inverse of Matrices, its Applications. : J. Wiley, New York. 1971. MR 0338013
[5] Ryšavý J.: Geodesy: SNTL, Praha. 1953 (in Czech).
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