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The slope of a straight line: a phony estimator [plus comments by M. Werman]

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2 Author(s)
Strackee, J. ; Lab. of Med. Phys., AMC, Amsterdam ; Werman, M.

This note discusses an estimator for the slope of a straight line as proposed by Werman and Geyzel (“Fitting a second degree curve in the presence of error”, ibid., vol. 17, no. 2, p. 207-11, 1995). By computing its frequency distribution, the authors demonstrate that the estimator is a unreliable; it possesses neither a first nor a second moment. Application leads therefore to completely erratic outcomes. Werman replies that the problem is well known, and describes the methods taken to overcome it

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:18 ,  Issue: 10 )