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Showing papers on "Sequential algorithm published in 1964"


ReportDOI
29 Oct 1964
TL;DR: In this article, a sequential algorithm suggested by R. M. Fano, Massachusetts Institute of Technology, is analyzed and its application to measurement problems is described and bounds to the average number of computations needed to estimate one parameter are obtained, and also a bound to the probability of estimating at least one parameter of a set incorrectly.
Abstract: : A sequential algorithm suggested by R. M. Fano, Massachusetts Institute of Technology, is analyzed and its application to measurement problems is described. From the analysis, bounds to the average number of computations needed to estimate one parameter are obtained, and also a bound to the probability of estimating at least one parameter of a set incorrectly. When an attempt is made to differentiate between parameter values that produce too small an effect on the output, relative to the noise, the sequential method will fail. This difficulty determines a limit to the precision obtainable with the sequential method. A series of simulation experiments was performed to test the hypotheses and results of the theory. These experiments consisted of estimating the characteristic impedance values of the sections of a transmission line constructed of many short segments. Although the theoretical and simulated measurement problems were not identical, the theoretical and experimental results agree, at least qualitatively. (Author)