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Robust Mixture Regression Estimation Based on Least Trimmed Sum of Absolute Method by Using Several Models

المصدر: المجلة العلمية لقطاع كليات التجارة
الناشر: جامعة الأزهر - كلية التجارة
المؤلف الرئيسي: Shaaban, Batool (Author)
مؤلفين آخرين: Helmy, Nahed (Co-Author) , Elgohary, Mervat M. (Co-Author)
المجلد/العدد: ع26
محكمة: نعم
الدولة: مصر
التاريخ الميلادي: 2021
الشهر: يونيو
الصفحات: 50 - 72
DOI: 10.21608/jsfc.2021.248605
ISSN: 2636-3674
رقم MD: 1301345
نوع المحتوى: بحوث ومقالات
اللغة: الإنجليزية
قواعد المعلومات: EcoLink
مواضيع:
كلمات المؤلف المفتاحية:
EM Algorithm | LTA - Estimation Method | Mixture Regression Model | Robust Regression
رابط المحتوى:
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المستخلص: The present study deals with one of the most important methods of the robust mixture regression estimators, least trimmed sum of absolute deviations LTA method. It is known that mixture regression models are used to investigate the relationship between variables that come from unknown latent groups and to model heterogenous datasets. In general, the error terms are assumed to be normal in the mixture regression model. However, the estimators under normality assumption are sensitive to the outliers. Therefore, we introduce a robust mixture regression procedure based on the LTAestimation method to combat with the outliers in the data. In this paper, we handle LTA method by using three mixture regression models; Laplace, and normal distributions. We give a simulation study to illustrate the performance of the proposed estimators over the counterparts in terms of dealing with outliers.

ISSN: 2636-3674

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