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• W2081927997 abstract "Estimation of variance in an ordinary adjustment model is straightforward, but if the model becomes unstable or ill-conditioned its solution and the variance of the solution will be very sensitive to the errors of observations. This sensitivity can be controlled by stabilizing methods but the results will be distorted due to stabilization. In this paper, stabilizing an unstable condition model using Tikhonov regularization, the estimations of variance of unit weight and variance components are investigated. It will be theoretically proved that the estimator of variance or variance components has not the minimum variance property when the model is stabilized, but unbiased estimation of variance is possible. A simple numerical example is provided to show the performance of the theory." @default.
• W2081927997 created "2016-06-24" @default.
• W2081927997 creator A5080186146 @default.
• W2081927997 date "2011-03-01" @default.
• W2081927997 modified "2023-10-14" @default.
• W2081927997 title "On the estimation of variance in unstable condition adjustment models" @default.
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• W2081927997 doi "https://doi.org/10.1556/ageod.46.2011.1.6" @default.
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