Simplified formulae for the BIQUE estimation of variance components in disjunctive observation groups

By N. Crocetto, M. Gatti, P. Russo. 2000

78 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Environmental Engineering, Oceanography

View Paper: https://www.semanticscholar.org/paper/d9dfaf012895f3e0e4c01224dc93a61d6d711259

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. Peter Teunissen
2. Alireza Amiri-Simkooei
3. Georgia Fotopoulos
4. Peiliang Xu
5. Jun Wang
6. Yanming Feng

In Environmental Engineering

1. Alireza Amiri-Simkooei
2. Peiliang Xu
3. Peter Teunissen
4. Yunzhong Shen
5. Yumei Liu
6. Y. Fukuda
7. Georgia Fotopoulos
8. X. Fang

In Oceanography

1. Alireza Amiri-Simkooei
2. Peiliang Xu
3. Peter Teunissen
4. Yunzhong Shen
5. Yumei Liu
6. Y. Fukuda
7. Georgia Fotopoulos
8. Jun Wang

Citations in the corpus

• Least-squares variance component estimation (2008, methodology): “For a review and comparison of some of the VCE methods, we refer to, e.g., Grafarend (1985); Crocetto et al. (2000); Fotopoulos (2003).”
• Application of least squares variance component estimation to errors-in-variables models (2013, result): “…are normally distributed, LS-VCE gives identical results with those of the many of the existing VCE methods such as the BIQUE (Koch 1978, 1999; Crocetto et al. 2000; Schaffrin 1983; Caspary 1987), the MINQUE (Rao 1971; Rao and Kleffe 1988; Sjöberg 1983; Xu et al. 2007), and the REML estimator…”
• Noise in multivariate GPS position time-series (2009, methodology): “When the observables are normally distributed, LS-VCE gives identical results with those of the many of the existing VCE methods such as best invariant quadratic unbiased estimator (BIQUE) (Koch 1978, 1999; Crocetto et al. 2000; Schaffrin 1981a, 1983; Caspary 1987), minimum norm quadratic unbiased e”
• Least-squares variance component estimation: theory and GPS applications (2007, methodology): “A relatively comprehensive review of several rigorous and simplified methods for VCE is given by Grafarend (1985); Crocetto et al. (2000); Fotopoulos (2003). In this chapter we review the methods that were previously developed for estimating the (co)variance components.”
• Calibration of geoid error models via a combined adjustment of ellipsoidal, orthometric and gravimetric geoid height data (2005, methodology): “There are a number of methods available to perform VCE within the context of LS adjustment (Grafarend 1985; Crocetto et al. 2000). A first solution to the problem was provided by Helmert (1924), who proposed a method for unbiased variance estimates.”
• Regularization of geopotential determination from satellite data by variance components (2002, background): “Fo¨ rstner 1979; Crocetto et al. (2000) ; Koch 2000, p. 146)”
• Estimability analysis of variance and covariance components (2007, background): “Although a number of elegant formulae have been derived to estimate variance and covariance components(see,e.g.,Henderson1953;Kubik1966;Rao 1971; Grafarend et al. 1980; Schaffrin 1983; Grafarend 1985;RaoandKleffe1988;Yu1996;Koch1999; Crocetto et al. 2000 ), very little is known about their estimabil”