Identifying Outlier Observations in Linear - Circular Regression Model

One way to identify outlier observations in regression models, is to measure the difference between the observations and their expected values under fitted model. This identification in circular regression, is possible by using of a circular distance. In this paper, the Difference of Means Circular...

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Main Authors: Seyede Sedighe Azimi, Mohammad Reza Farid Rohani
Format: Article
Language:fas
Published: Kharazmi University 2020-05-01
Series:پژوهش‌های ریاضی
Subjects:
Online Access:http://mmr.khu.ac.ir/article-1-2790-en.html
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author Seyede Sedighe Azimi
Mohammad Reza Farid Rohani
author_facet Seyede Sedighe Azimi
Mohammad Reza Farid Rohani
author_sort Seyede Sedighe Azimi
collection DOAJ
description One way to identify outlier observations in regression models, is to measure the difference between the observations and their expected values under fitted model. This identification in circular regression, is possible by using of a circular distance. In this paper, the Difference of Means Circular Error statistic that was introduced by ‎Abuzaid et al. [1] for outlier detection in simple circular regression, is applied in linear-circular regression model and the cut-off points of this statistic are obtained by Monte Carlo simulations. In addition, the performance of this statistic is investigated with some simulation studies. Finally, this statistic is applied to identify outlier observations in speed and direction wind data set recorded at Mehrabad weather station in Tehran with parametric Bootstrap simulation method../files/site1/files/61/10.pdf
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spelling doaj.art-0a70701542584bfca99cb10c041007452023-03-13T19:21:49ZfasKharazmi Universityپژوهش‌های ریاضی2588-25462588-25542020-05-016199108Identifying Outlier Observations in Linear - Circular Regression ModelSeyede Sedighe Azimi0Mohammad Reza Farid Rohani1 One way to identify outlier observations in regression models, is to measure the difference between the observations and their expected values under fitted model. This identification in circular regression, is possible by using of a circular distance. In this paper, the Difference of Means Circular Error statistic that was introduced by ‎Abuzaid et al. [1] for outlier detection in simple circular regression, is applied in linear-circular regression model and the cut-off points of this statistic are obtained by Monte Carlo simulations. In addition, the performance of this statistic is investigated with some simulation studies. Finally, this statistic is applied to identify outlier observations in speed and direction wind data set recorded at Mehrabad weather station in Tehran with parametric Bootstrap simulation method../files/site1/files/61/10.pdfhttp://mmr.khu.ac.ir/article-1-2790-en.htmllinear - circular regression modeloutlier observationdifference of means circular error
spellingShingle Seyede Sedighe Azimi
Mohammad Reza Farid Rohani
Identifying Outlier Observations in Linear - Circular Regression Model
پژوهش‌های ریاضی
linear - circular regression model
outlier observation
difference of means circular error
title Identifying Outlier Observations in Linear - Circular Regression Model
title_full Identifying Outlier Observations in Linear - Circular Regression Model
title_fullStr Identifying Outlier Observations in Linear - Circular Regression Model
title_full_unstemmed Identifying Outlier Observations in Linear - Circular Regression Model
title_short Identifying Outlier Observations in Linear - Circular Regression Model
title_sort identifying outlier observations in linear circular regression model
topic linear - circular regression model
outlier observation
difference of means circular error
url http://mmr.khu.ac.ir/article-1-2790-en.html
work_keys_str_mv AT seyedesedigheazimi identifyingoutlierobservationsinlinearcircularregressionmodel
AT mohammadrezafaridrohani identifyingoutlierobservationsinlinearcircularregressionmodel