Developing a restricted two-parameter Liu-type estimator: A comparison of restricted estimators in the binary logistic regression model
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the context of estimating regression coefficients of an ill-conditioned binary logistic regression model, we develop a new biased estimator having two parameters for estimating the regression vector parameter when it is subjected to lie in the linear subspace restriction H = h. The matrix mean squared error and mean squared error (MSE) functions of these newly defined estimators are derived. Moreover, a method to choose the two parameters is proposed. Then, the performance of the proposed estimator is compared to that of the restricted maximum likelihood estimator and some other existing estimators in the sense of MSE via a Monte Carlo simulation study. According to the simulation results, the performance of the estimators depends on the sample size, number of explanatory variables, and degree of correlation. The superiority region of our proposed estimator is identified based on the biasing parameters, numerically. It is concluded that the new estimator is superior to the others in most of the situations considered and it is recommended to the researchers.
Açıklama
Anahtar Kelimeler
Logistic Regression, Mean Squared Error, Multicollinearity, Restricted Estimators, Primary 62j02, Secondary 62j07
Kaynak
Communications In Statistics-Theory And Methods
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
46
Sayı
14
