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

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Abstract.

 General rigorous and simplified formulae are reported for the best invariant quadratic unbiased estimates of the variance–covariance components, which can be applied to all least-squares adjustments with the general linear stochastic model. Simplified procedures are given for two cases frequently recurring in geodetic applications: uncorrelated groups of correlated or uncorrelated observations, with more than one variance component in each group.

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Authors and Affiliations

  1.  Faculty of Engineering, Second University of Naples, Via Roma 29, I-81031 Aversa (Ce), Italy e-mail: nicola.crocetto@unina2.it, , , , , , IT

    N. Crocetto

  2.  Institute of Engineering, University of Ferrara, Via Saragat 1, I-44100 Ferrara, Italy e-mail: prusso@ing.unife.it, , , , , , IT

    M. Gatti & P. Russo

Authors
  1. N. Crocetto
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  2. M. Gatti
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  3. P. Russo
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Received: 19 November 1998 / Accepted: 21 March 2000

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Crocetto, N., Gatti, M. & Russo, P. Simplified formulae for the BIQUE estimation of variance components in disjunctive observation groups. Journal of Geodesy 74, 447–457 (2000). https://doi.org/10.1007/s001900000109

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  • DOI: https://doi.org/10.1007/s001900000109

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