Estimation of the variance components in various covariance matrix structures
Apstrakt
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.
Ključne reči:
Stochastic models / Variance components / MINQUE estimatesIzvor:
Survey Review, 2011, 43, 323, 653-662
DOI: 10.1179/003962611X13117748892434
ISSN: 0039-6265
WoS: 000295594400018
Scopus: 2-s2.0-80053343836
Institucija/grupa
GraFarTY - JOUR AU - Božić, Branko AU - Gospavić, Zagorka AU - Milosavljević, Zoran PY - 2011 UR - https://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", 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. in 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. in Survey Review. 2011;43(323):653-662. doi:10.1179/003962611X13117748892434 .
Božić, Branko, Gospavić, Zagorka, Milosavljević, Zoran, "Estimation of the variance components in various covariance matrix structures" in Survey Review, 43, no. 323 (2011):653-662, https://doi.org/10.1179/003962611X13117748892434 . .