DOAJ Open Access 2020

Robust Mixture Regression Based on the Mixture of Slash Distributions

Hadi Saboori Ghobad Barmalzan Mahdi Doostparast

Abstrak

The traditional estimation of Mixture regression models is based on the normal assumption of component errors and thus is sensitive to outliers and heavy-tailed errors. In this paper, we propose a robust Mixture regression models in which a mixture of slash distributions is assumed for the errors. Using the fact that the slash distribution can be written as a scale mixture of a normal and a latent distribution, we also estimate model parameters an expectation-maximization (EM) algorithm. The results of our simulation show that based on AIC and BIC criterion, the proposed robust regression model mixture on slash distribution dominates the robust regression based the normal and the t distribution. Finally, the proposed model is compared with other procedures, based on a real data set.

Penulis (3)

H

Hadi Saboori

G

Ghobad Barmalzan

M

Mahdi Doostparast

Format Sitasi

Saboori, H., Barmalzan, G., Doostparast, M. (2020). Robust Mixture Regression Based on the Mixture of Slash Distributions. https://doi.org/10.2991/jsta.d.200304.001

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Informasi Jurnal
Tahun Terbit
2020
Sumber Database
DOAJ
DOI
10.2991/jsta.d.200304.001
Akses
Open Access ✓