Comparative analysis of methods for calculating the mode of a stationary random process

The paper considers methods for calculating the mode of a stationary random process when solving the problem of processing measurement results under conditions of a priori uncertainty. The results of the conducted studies allowed us to conclude that the most effective method for calculating the mode...

Full description

Bibliographic Details
Main Authors: Marchuk Vladimir, Shrayfel Igor, Hripkov Gleb, Nikishin Ivan
Format: Article
Language:English
Published: EDP Sciences 2021-01-01
Series:E3S Web of Conferences
Online Access:https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/55/e3sconf_eeests2021_02004.pdf
_version_ 1818441763643195392
author Marchuk Vladimir
Shrayfel Igor
Hripkov Gleb
Nikishin Ivan
author_facet Marchuk Vladimir
Shrayfel Igor
Hripkov Gleb
Nikishin Ivan
author_sort Marchuk Vladimir
collection DOAJ
description The paper considers methods for calculating the mode of a stationary random process when solving the problem of processing measurement results under conditions of a priori uncertainty. The results of the conducted studies allowed us to conclude that the most effective method for calculating the mode for a given sample is the proposed method, which allows to increase the accuracy of its calculation by at least 8 times, compared to methods based on the construction of histograms. It should be noted that the proposed method allows to provide an estimate with an error of at least 5% for samples with a number of measurements of about 5 value.
first_indexed 2024-12-14T18:33:25Z
format Article
id doaj.art-a51480095b474bb2a00d6676ca9f7cb0
institution Directory Open Access Journal
issn 2267-1242
language English
last_indexed 2024-12-14T18:33:25Z
publishDate 2021-01-01
publisher EDP Sciences
record_format Article
series E3S Web of Conferences
spelling doaj.art-a51480095b474bb2a00d6676ca9f7cb02022-12-21T22:51:43ZengEDP SciencesE3S Web of Conferences2267-12422021-01-012790200410.1051/e3sconf/202127902004e3sconf_eeests2021_02004Comparative analysis of methods for calculating the mode of a stationary random processMarchuk VladimirShrayfel IgorHripkov GlebNikishin IvanThe paper considers methods for calculating the mode of a stationary random process when solving the problem of processing measurement results under conditions of a priori uncertainty. The results of the conducted studies allowed us to conclude that the most effective method for calculating the mode for a given sample is the proposed method, which allows to increase the accuracy of its calculation by at least 8 times, compared to methods based on the construction of histograms. It should be noted that the proposed method allows to provide an estimate with an error of at least 5% for samples with a number of measurements of about 5 value.https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/55/e3sconf_eeests2021_02004.pdf
spellingShingle Marchuk Vladimir
Shrayfel Igor
Hripkov Gleb
Nikishin Ivan
Comparative analysis of methods for calculating the mode of a stationary random process
E3S Web of Conferences
title Comparative analysis of methods for calculating the mode of a stationary random process
title_full Comparative analysis of methods for calculating the mode of a stationary random process
title_fullStr Comparative analysis of methods for calculating the mode of a stationary random process
title_full_unstemmed Comparative analysis of methods for calculating the mode of a stationary random process
title_short Comparative analysis of methods for calculating the mode of a stationary random process
title_sort comparative analysis of methods for calculating the mode of a stationary random process
url https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/55/e3sconf_eeests2021_02004.pdf
work_keys_str_mv AT marchukvladimir comparativeanalysisofmethodsforcalculatingthemodeofastationaryrandomprocess
AT shrayfeligor comparativeanalysisofmethodsforcalculatingthemodeofastationaryrandomprocess
AT hripkovgleb comparativeanalysisofmethodsforcalculatingthemodeofastationaryrandomprocess
AT nikishinivan comparativeanalysisofmethodsforcalculatingthemodeofastationaryrandomprocess