title: Ð Ð¾Ð±Ð°ÑÑÐ½ÑÐ¹ Ð¼ÐµÑÐ¾Ð´ Ð¾ÑÐµÐ½ÐºÐ¸ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ ÑÐµÐ³ÑÐµÑÑÐ¸Ð¸ Ð¢ÐµÐ¹Ð»Ð°-Ð¡ÐµÐ½Ð°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Theil-Sen robust linear regression method
Creators: name: ÐÐ¸Ð»Ð°Ð½Ð¸Ñ, ÐÐ»ÐµÐºÑÐ°Ð½Ð´Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: Ð»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑÐµÐ³ÑÐµÑÑÐ¸Ñ
ÑÐµÐ³ÑÐµÑÑÐ¸Ð¾Ð½Ð½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ
ÑÐ°Ð³Ð¾Ð²ÑÐ¹ Ð´Ð²Ð¸Ð³Ð°ÑÐµÐ»Ñ
ÑÐ¾Ð±Ð°ÑÑÐ½Ð¾ÑÑÑ
linear regression
regression model
stepper motor
robustness

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description: This work is devoted to the study and comparison of the robust Theil-Sen method with non-robust linear regression methods, as well as to find applications for it among different household or industrial tasks. For understanding, theoretical was provided an information about linear regression and considered approaches to building models that allow analyzing the relationship between the dependent and one or more independent variables. A study was conducted on the generated data with errors of varying strength, aimed at comparing the methods and illustrating their advantages and disadvantages described in the theoretical part. Measurements of the performance of stepper motors were selected as real data. As a result of these tests, the use of the Teil-Sen method was proposed to search for possible deviations and instabilities in the process of using the mechanisms under consideration. This can make it possible to diagnose and prevent malfunctions, as well as predict the optimal values of engine parameters, such as current, resistance, acceleration, etc.