On the restricted almost unbiased Liu estimator in the logistic regression model

Küçük Resim Yok

Tarih

2018

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Taylor & Francis Inc

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

It is known that when the multicollinearity exists in the logistic regression model, variance of maximum likelihood estimator is unstable. As a remedy, in the context of biased shrinkage Liu estimation, Chang introduced an almost unbiased Liu estimator in the logistic regression model. Making use of his approach, when some prior knowledge in the form of linear restrictions are also available, we introduce a restricted almost unbiased Liu estimator in the logistic regression model. Statistical properties of this newly defined estimator are derived and some comparison results are also provided in the form of theorems. A Monte Carlo simulation study along with a real data example are given to investigate the performance of this estimator.

Açıklama

Anahtar Kelimeler

Almost Unbiased Liu Estimator, Eigenvalue, Liu Estimator, Mean Squared Error Matrix, Restricted Almost Unbiased Liu Estimator

Kaynak

Communications In Statistics-Theory And Methods

WoS Q Değeri

Q4

Scopus Q Değeri

Q3

Cilt

47

Sayı

18

Künye