Least-Squares Variance Component Estimation Theory and GPS Applications

  title={Least-Squares Variance Component Estimation Theory and GPS Applications},
  author={Alireza Amiri-Simkooei},
Data processing in geodetic applications often relies on the least-squares method, for which one needs a proper stochastic model of the observables. Such a realistic covariance matrix allows one first to obtain the best (minimum variance) linear unbiased estimator of the unknown parameters; second, to determine a realistic precision description of the unknowns; and, third, along with the distribution of the data, to correctly perform hypothesis testing and assess quality control measures such… CONTINUE READING
Highly Cited
This paper has 21 citations. REVIEW CITATIONS


Publications citing this paper.
Showing 1-10 of 15 extracted citations

Extrinsic multi-sensor calibration for mobile robots using the Gauss-Helmert model

2017 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) • 2017
View 1 Excerpt


Publications referenced by this paper.
Showing 1-10 of 121 references

The time domain behavior of power law noises

D Agnew
Geophysical Research Letters, 19: 333–336. • 1992
View 9 Excerpts
Highly Influenced

Ein verfahren zur schätzung von varianz und kovarianzkomponenten

W Förstner
Allgemeine Vermessungs Nachrichten: 446–453. • 1979
View 4 Excerpts
Highly Influenced

Probability and observation theory

PJG Teunissen, DG Simons, CCJM Tiberius
Faculty of Aerospace Engineering, Delft University of Technology: Delft University. Lecture notes AE2-E01. • 2005
View 4 Excerpts
Highly Influenced

Formulation of L1 norm minimization in Gauss-Markov models

AR Amiri-Simkooei
Journal of Surveying Engineering , 129(1): 37–43. • 2003
View 6 Excerpts
Highly Influenced

A comparison of four methods of weighting double difference pseudo range measurements

GP Gerdan
Trans Tasman Surv , 1(1): 60–66. • 1995
View 4 Excerpts
Highly Influenced

Linear algebra and its application (Second ed.)

G Strang
San Diego, • 1988
View 6 Excerpts
Highly Influenced

Concepts of network and deformation analysis

WF Caspary
Technical report, School of Surveying, The University of New South Wales, Kensington. • 1987
View 6 Excerpts
Highly Influenced

Calibration of geoid error models via a combined adjustment of ellipsoidal, orthometric and gravimetric geoid height data

G Fotopoulos
Journal of Geodesy , 79: 111–123. • 2005
View 1 Excerpt
Highly Influenced

Similar Papers

Loading similar papers…