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A Criterion for Comparing Models Approximating Experimental Data and Its Asymptotic Properties

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Measurement Techniques Aims and scope

Abstract

A T k criterion is proposed and investigated, which makes it possible to compare two competing models when restoring a dependence from a single series of measurements. A method is developed for detecting false minima on the graph of the realization of the residual variance. A proof is given of the efficiency of utilizing the T k criterion to resolve questions of the significance of a parameter included in a model. An asymptotic T k criterion is obtained, considered, and recommended for introduction into a physical experiment.

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Authors
  1. G. A. Ivanov
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  2. I. A. Krivosheev
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Ivanov, G.A., Krivosheev, I.A. A Criterion for Comparing Models Approximating Experimental Data and Its Asymptotic Properties. Measurement Techniques 44, 785–794 (2001). https://doi.org/10.1023/A:1012936015681

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  • DOI: https://doi.org/10.1023/A:1012936015681

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