Robust Liu-type estimator for regression based on M-estimator

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Tarih

2017

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Taylor and Francis Ltd.

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The problem of multicollinearity and outliers in the dataset can strongly distort ordinary least-square estimates and lead to unreliable results. We propose a new Robust Liu-type M-estimator to cope with this combined problem of multicollinearity and outliers in the y-direction. Our new estimator has advantages over two-parameter Liu-type estimator, Ridge-type M-estimator, and M-estimator. Furthermore, we give a numerical example and a simulation study to illustrate some of the theoretical results.

Açıklama

Hasan Ertas was supported by Cukurova University Academic Research Projects (FEF2013D15).

Anahtar Kelimeler

Biased estimation, Multicollinearity, Outliers, Robust Regression

Kaynak

Communications in Statistics - Simulation and Computation

WoS Q Değeri

N/A

Scopus Q Değeri

N/A

Cilt

46

Sayı

5

Künye

Ertaş, H., Kaçıranlar, S., & Güler, H. (2017). Robust Liu-type estimator for regression based on M-estimator. Communications in Statistics-Simulation and Computation, 46(5), 3907-3932.