Title :
The slope of a straight line: a phony estimator [plus comments by M. Werman]
Author :
Strackee, J. ; Werman, Michael
Author_Institution :
Lab. of Med. Phys., AMC, Amsterdam
fDate :
10/1/1996 12:00:00 AM
Abstract :
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
Keywords :
curve fitting; second degree curve; straight line slope estimation; Curve fitting; Distributed computing; Frequency estimation; Jacobian matrices; Machine intelligence; Maximum likelihood estimation; Packaging; Pattern analysis; Physics; Stochastic processes;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
