Research of the probability of the "flip" of approximating function during the processing of measurement results
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2019-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/30/e3sconf_eeests-2019_02003.pdf |
| _version_ | 1819174213460688896 |
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| author | Marchuk Vladimir Chernyshov Dmitry Sadrtdinov Ilya Minaev Alexander |
| author_facet | Marchuk Vladimir Chernyshov Dmitry Sadrtdinov Ilya Minaev Alexander |
| author_sort | Marchuk Vladimir |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-22T20:35:24Z |
| format | Article |
| id | doaj.art-ebe3ac7ecd5e4ad89d9bebb2efe40a1e |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-22T20:35:24Z |
| publishDate | 2019-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-ebe3ac7ecd5e4ad89d9bebb2efe40a1e2022-12-21T18:13:29ZengEDP SciencesE3S Web of Conferences2267-12422019-01-011040200310.1051/e3sconf/201910402003e3sconf_eeests-2019_02003Research of the probability of the "flip" of approximating function during the processing of measurement resultsMarchuk VladimirChernyshov DmitrySadrtdinov IlyaMinaev AlexanderThe 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.https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/30/e3sconf_eeests-2019_02003.pdf |
| spellingShingle | Marchuk Vladimir Chernyshov Dmitry Sadrtdinov Ilya Minaev Alexander Research of the probability of the "flip" of approximating function during the processing of measurement results E3S Web of Conferences |
| title | Research of the probability of the "flip" of approximating function during the processing of measurement results |
| title_full | Research of the probability of the "flip" of approximating function during the processing of measurement results |
| title_fullStr | Research of the probability of the "flip" of approximating function during the processing of measurement results |
| title_full_unstemmed | Research of the probability of the "flip" of approximating function during the processing of measurement results |
| title_short | Research of the probability of the "flip" of approximating function during the processing of measurement results |
| title_sort | research of the probability of the flip of approximating function during the processing of measurement results |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/30/e3sconf_eeests-2019_02003.pdf |
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