Efficiency of the generalized difference-based Liu estimators in semiparametric regression models with correlated errors

Restricted difference-based Liu estimator in partially linear model

“…When the errors are correlated, Akdeniz et al [5] proposed this estimator (13) and they also discuss the small sample of this estimator (13). In this paper we mainly discuss the asymptotic properties of this estimator.…”

“…If X ′ X is ill-conditioned with a large condition number a Liu regression estimator can be used to estimate β (see e.g. [1][2][3][4][5][6][7]). In this paper, we will examine a biased estimation techniques to be followed when the matrix X ′ X appears to be ill-conditioned in the partial linear model.…”

New Restricted Liu Estimator in a Partially Linear Model

“…After estimating the function f, we use equation 1to obtain the dependent variables. Finally, we estimate the function f again using equation (4). e Gaussian kernel function…”

“…e statisticians have mainly discussed how to estimate the parametric component of β, and many methods have been proposed to estimate β such as methods by Akdeniz and Duran [1], Akdeniz et al [2], Duran and Akdeniz [3], Akdeniz et al [4], Akdeniz et al [5], Heckman [6], Liang [7], Liu et al [8], Speckman [9], Wu [10,11], Wu and Asar [12], Yatchew [13], Yang et al [14], and Yang and Li [15].…”

A weighted stochastic restricted ridge estimator in partially linear model

“…Akdeniz and Tabakan (2009) and Roozhbeh et al (2013) studied the ridge estimator in partially linear model. Akdeniz and Akeniz Duran (2010), Akdeniz et al (2015) and Wu (2015) presented the Liu-type estimators of the parameters components in partially linear model. Wei et al (2014) introduced a stochastic mixed estimator in partially linear model when stochastic linear restrictions are assumed to hold.…”