This article describes the procedure of obtaining variance component estimates with the Minimum Norm Quadratic Unbiased Estimator (MINQUE). Using the examples of simulated measurements, variance components are estimated in geodetic two-dimensional network models. The efficiency of the estimators was tested using simulated data in three different structures of variance component models. Additive, group and mixed models were analyzed using distance and direction measurements, and the efficiency of the estimator was analyzed in all three cases, focusing in particular on the impact of various ratios of the initial variance components and geodetic network characteristics on the variance components estimation.
TY - JOUR
AU - Božić, Branko
AU - Gospavić, Zagorka
AU - Milosavljević, Zoran
PY - 2011
UR - http://grafar.grf.bg.ac.rs/handle/123456789/406
AB - This article describes the procedure of obtaining variance component estimates with the Minimum Norm Quadratic Unbiased Estimator (MINQUE). Using the examples of simulated measurements, variance components are estimated in geodetic two-dimensional network models. The efficiency of the estimators was tested using simulated data in three different structures of variance component models. Additive, group and mixed models were analyzed using distance and direction measurements, and the efficiency of the estimator was analyzed in all three cases, focusing in particular on the impact of various ratios of the initial variance components and geodetic network characteristics on the variance components estimation.
T2 - Survey Review
T1 - Estimation of the variance components in various covariance matrix structures
EP - 662
IS - 323
SP - 653
VL - 43
DO - 10.1179/003962611X13117748892434
ER -
@article{
author = "Božić, Branko and Gospavić, Zagorka and Milosavljević, Zoran",
year = "2011",
url = "http://grafar.grf.bg.ac.rs/handle/123456789/406",
abstract = "This article describes the procedure of obtaining variance component estimates with the Minimum Norm Quadratic Unbiased Estimator (MINQUE). Using the examples of simulated measurements, variance components are estimated in geodetic two-dimensional network models. The efficiency of the estimators was tested using simulated data in three different structures of variance component models. Additive, group and mixed models were analyzed using distance and direction measurements, and the efficiency of the estimator was analyzed in all three cases, focusing in particular on the impact of various ratios of the initial variance components and geodetic network characteristics on the variance components estimation.",
journal = "Survey Review",
title = "Estimation of the variance components in various covariance matrix structures",
pages = "662-653",
number = "323",
volume = "43",
doi = "10.1179/003962611X13117748892434"
}
Božić, B., Gospavić, Z.,& Milosavljević, Z. (2011). Estimation of the variance components in various covariance matrix structures.
Survey Review, 43(323), 653-662.
https://doi.org/10.1179/003962611X13117748892434
Božić B, Gospavić Z, Milosavljević Z. Estimation of the variance components in various covariance matrix structures. Survey Review. 2011;43(323):653-662
Božić Branko, Gospavić Zagorka, Milosavljević Zoran, "Estimation of the variance components in various covariance matrix structures" Survey Review, 43, no. 323 (2011):653-662,
https://doi.org/10.1179/003962611X13117748892434 .
