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Research of the probability of the "flip" of approximating function during the processing of measurement results

2019; EDP Sciences; Volume: 104; Linguagem: Inglês

10.1051/e3sconf/201910402003

2555-0403

В. И. Марчук, D. Chernyshov, Ilya Sadrtdinov, Alexander Minaev,

Scientific Measurement and Uncertainty Evaluation

The paper presents the results of the studies of the probability of a “flip” of the approximating function when processing the measurement results under conditions of a priori uncertainty about the signal function and the statistical characteristics of additive noise. It is analytically proved that the confidence intervals of the probability of the absence and the presence of a “flip” are equal, which is confirmed by the experimental results. The dependences of the “flipping” of the approximating function on the sample length, the dispersion of additive noise and the rate of change of the function itself are obtained.