Comparative Performance of Scale Estimators Using GPS Positioning Data

Stelios P . Mertikas

Abstract:	This paper is an investigation into reliable and efficient accuracy measures that summarize uncertainty of one-dimensional position fixes. It evaluates and compares the efficiency and reliability of 20 accuracy estimators using GPS position data for sample sizes n =20 and n=100. At first, the term "accuracy measure" is described for the one-dimensional case. Then the adequacy of the currently used accuracy expressions is examined and the effect of various assumption failures is investigated. Reliable and efficient accuracy measures have been identified and finally the performance of a family of accuracy measures has been assessed under various distribution a l conditions of GPS data. All in all, robust accuracy measures, such a s the biweight, the wave A-estimator, the Hampel's scale seem to satisfy global requirements of good efficiency, reliability and flexibility.
Published in:	Proceedings of the 45th Annual Meeting of The Institute of Navigation (1989) June 27 - 29, 1989 Alexandria, VA
Pages:	161 - 177
Cite this article:	Mertikas, Stelios P ., "Comparative Performance of Scale Estimators Using GPS Positioning Data," Proceedings of the 45th Annual Meeting of The Institute of Navigation (1989), Alexandria, VA, June 1989, pp. 161-177.
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