Parameter estimates for a pencil of lines: Bounds and estimators

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Abstract

Estimating the parameters of a pencil of lines is addressed. A statistical model for the measurements is developed, from which the Cramer Rao lower bound is determined. An estimator is derived, and its performance is simulated and compared to the bound. The estimator is shown to be asymptotically efficient, and superior to the classical least squares algorithm.

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Speyer, G., & Werman, M. (2002). Parameter estimates for a pencil of lines: Bounds and estimators. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2350, pp. 432–446). Springer Verlag. https://doi.org/10.1007/3-540-47969-4_29

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