Robust properties of the median of absolute differences and family of inter-α-quantile ranges
When studying the properties of various physical objects, experimental data often contain gross errors (outliers) which can lead to significant distortions of the results of statistical processing of such data. For this reason, statistical procedures are being developed that are protected from the p...
| Published in: | Russian physics journal Vol. 63, № 12. P. 2189-2204 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Subjects: | |
| Online Access: | http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000894845 Перейти в каталог НБ ТГУ |
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| 100 | 1 | |a Shulenin, V. P. |d 1944-2021 |9 99640 | |
| 245 | 1 | 0 | |a Robust properties of the median of absolute differences and family of inter-α-quantile ranges |c V. P. Shulenin |
| 336 | |a Текст | ||
| 337 | |a электронный | ||
| 504 | |a Библиогр.: 40 назв. | ||
| 520 | 3 | |a When studying the properties of various physical objects, experimental data often contain gross errors (outliers) which can lead to significant distortions of the results of statistical processing of such data. For this reason, statistical procedures are being developed that are protected from the presence of outliers in observations. In this paper, two types of robust estimates of the scale parameter, which characterizes the spread (variability) of the random variable under study, are considered. The proposed estimates are asymptotically normally distributed, have bounded influence functions, and therefore, unlike the standard deviation estimates, are protected from the presence of outliers in the sample. The results of comparing the estimates of the scale parameter by the efficiency for different observation models, in particular, for the Gauss model with large-scale contamination, are presented. | |
| 653 | |a робастные оценки | ||
| 653 | |a адаптивные оценки | ||
| 653 | |a масштабный параметр | ||
| 653 | |a функция влияния | ||
| 655 | 4 | |a статьи в журналах |9 879358 | |
| 773 | 0 | |t Russian physics journal |d 2021 |g Vol. 63, № 12. P. 2189-2204 |x 1064-8887 | |
| 852 | 4 | |a RU-ToGU | |
| 856 | 4 | |u http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000894845 | |
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| 908 | |a статья | ||
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