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Error in the propagation of error formula

✍ Scribed by O. A. Asbjornsen


Publisher
American Institute of Chemical Engineers
Year
1986
Tongue
English
Weight
265 KB
Volume
32
Category
Article
ISSN
0001-1541

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✦ Synopsis


Error in the Propagation of Error Formula

In a paper by Park and Himmelblau (1980), the authors draw the attention to the fact that the widely used formula for error propagation may give systematic errors in the estimation of the mean and the variance of a variable. Their formula for the propagation of errors is a simple truncation of a standard Taylor series, which has a validity as long as the approximation by the truncation is adequate for the application in question.

The phenomenon studied by these authors is mainly due to the curvature of the nonlinear relationship between the input and the response of an experiment and a mathematical model.


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