New Shrinkage Parameters for the Liu-type Logistic Estimators

Küçük Resim Yok

Tarih

2016

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Taylor & Francis Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The binary logistic regression is a widely used statistical method when the dependent variable has two categories. In most of the situations of logistic regression, independent variables are collinear which is called the multicollinearity problem. It is known that multicollinearity affects the variance of maximum likelihood estimator (MLE) negatively. Therefore, this article introduces new shrinkage parameters for the Liu-type estimators in the Liu (2003) in the logistic regression model defined by Huang (2012) in order to decrease the variance and overcome the problem of multicollinearity. A Monte Carlo study is designed to show the goodness of the proposed estimators over MLE in the sense of mean squared error (MSE) and mean absolute error (MAE). Moreover, a real data case is given to demonstrate the advantages of the new shrinkage parameters.

Açıklama

Anahtar Kelimeler

Logistic Regression, Mle, Multicollinearity, Shrinkage Parameter, Primary 62j07, Secondary 62j02

Kaynak

Communications In Statistics-Simulation And Computation

WoS Q Değeri

Q4

Scopus Q Değeri

Q3

Cilt

45

Sayı

3

Künye