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Uncertainty and data-fitting procedures

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R Willink

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SHORT COMMUNICATION

We discuss an apparent paradox in which the uncertainty of an estimate obtained in a data-based minimization problem with a unique solution seems to depend on the method of minimization. The paradox is explained by showing that the sensitivity coefficients appearing in the law of propagation of uncertainty cannot be calculated by explicitly following the iterative process. A simple experimental evaluation of the sensitivity coefficients seems preferable.


PACS

06.20.Dk Measurement and error theory

02.60.Cb Numerical simulation; solution of equations

02.70.-c Computational techniques

02.60.Lj Ordinary and partial differential equations; boundary value problems

Subjects

Computational physics

Instrumentation and measurement

Dates

Issue 3 (June 2007)

Received 9 March 2007

Published 24 May 2007



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