Uncertainty of coordinates and looking for dispersion of GPS receiver

Pavel Tuček; Jaroslav Marek

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2006)

  • Volume: 45, Issue: 1, page 159-173
  • ISSN: 0231-9721

Abstract

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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.

How to cite

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Tuček, Pavel, and Marek, Jaroslav. "Uncertainty of coordinates and looking for dispersion of GPS receiver." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 45.1 (2006): 159-173. <http://eudml.org/doc/32516>.

@article{Tuček2006,
abstract = {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.},
author = {Tuček, Pavel, Marek, Jaroslav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {two stage regression models; BLUE; uncertainty of the type A and B; confidence ellipsoids; variance components; two stage regression models; BLUE; uncertainty of type A and B; confidence ellipsoids; variance components},
language = {eng},
number = {1},
pages = {159-173},
publisher = {Palacký University Olomouc},
title = {Uncertainty of coordinates and looking for dispersion of GPS receiver},
url = {http://eudml.org/doc/32516},
volume = {45},
year = {2006},
}

TY - JOUR
AU - Tuček, Pavel
AU - Marek, Jaroslav
TI - Uncertainty of coordinates and looking for dispersion of GPS receiver
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2006
PB - Palacký University Olomouc
VL - 45
IS - 1
SP - 159
EP - 173
AB - 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.
LA - eng
KW - two stage regression models; BLUE; uncertainty of the type A and B; confidence ellipsoids; variance components; two stage regression models; BLUE; uncertainty of type A and B; confidence ellipsoids; variance components
UR - http://eudml.org/doc/32516
ER -

References

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  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. (1996) MR1408465
  3. Marek J., Estimation in connecting measurements, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 42 (2003), 69–86. Zbl1060.62062MR2056023
  4. Rao C. R., Mitra S. K.: Generalized Inverse of Matrices, its Applications., J. Wiley, New York, 1971. MR0338013
  5. Ryšavý J.: Geodesy, SNTL, Praha, 1953 (in Czech). 

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