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Title: Uncertainty of coordinates and looking for dispersion of GPS receiver (English)
Author: Tuček, Pavel
Author: Marek, Jaroslav
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 45
Issue: 1
Year: 2006
Pages: 159-173
Summary lang: English
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Category: math
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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. (English)
Keyword: two stage regression models
Keyword: BLUE
Keyword: uncertainty of the type A and B
Keyword: confidence ellipsoids
Keyword: variance components
MSC: 62F10
MSC: 62F30
MSC: 62H12
MSC: 62J05
MSC: 62J10
MSC: 62P30
idZBL: Zbl 1117.62502
idMR: MR2321308
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Date available: 2009-08-21T07:07:06Z
Last updated: 2012-05-04
Stable URL: http://hdl.handle.net/10338.dmlcz/133453
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Reference: [1] Kubáček L., Kubáčková L.: Statistics, Metrology. : Publishing House of Palacký University, Olomouc.2000, (in Czech)
Reference: [2] Kubáčková L.: Joint confidence and threshold ellipsoids in regression models.Tatra Mountains Math. Publ. 7 (1996), 157–160. MR 1408465
Reference: [3] Marek J.: Estimation in connecting measurements.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 42 (2003), 69–86. Zbl 1060.62062, MR 2056023
Reference: [4] Rao C. R., Mitra S. K.: Generalized Inverse of Matrices, its Applications. : J. Wiley, New York.1971. MR 0338013
Reference: [5] Ryšavý J.: Geodesy: SNTL, Praha.1953 (in Czech).
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