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A new stochastic mixed Liu estimator in linear regression model
Communications in Statistics - Theory and Methods, 2020To overcome multicollinearity, a new stochastic mixed Liu estimator is presented and its efficiency is considered. We also compare the proposed estimators in the sense of matrix mean squared error criteria.
Yong Li
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A state estimation of Liu equations
AIP Conference Proceedings, 2015This paper is concerned with state estimation problems for so-called Liu equations. These equations are counterparts of well-known Ito ones and they were introduced by B. Liu under elaboration of his uncertain theory. The Liu equations may be solved backward and they represent a more convenient object for the state estimation problem solution ...
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Robust Liu-type estimator for regression based on M-estimator
Communications in Statistics - Simulation and Computation, 2015ABSTRACTThe 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.
Ertaş H., Kaçıranlar S., Güler H.
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Liu and Ridge Estimators-A Comparison
Communications in Statistics - Theory and Methods, 2012Liu (1993) proposed an estimator that is similar in form but different from the ridge regression estimator of Hoerl and Kennard. More recently, Ozkale and Kaciranlar (2007) proposed a two-parameter variation of the Liu estimator. This new estimator has a number of interesting properties.
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Generalized Liu Type Estimators Under Zellner's Balanced Loss Function
Communications in Statistics - Theory and Methods, 2005ABSTRACT In regression analysis, ridge regression estimators and Liu type estimators are often used to overcome the problem of multicollinearity. These estimators have been evaluated using the risk under quadratic loss criterion, which places sole emphasis on estimators′ precision. The traditional mean square error (MSE) as the measure of efficiency of
Akdeniz F., Wan A.T.K., Akdeniz E.
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Using Liu-Type Estimator to Combat Collinearity
Communications in Statistics - Theory and Methods, 2003Linear regression model and least squares method are widely used in many fields of natural and social sciences. In the presence of collinearity, the least squares estimator is unstable and often gives misleading information. Ridge regression is the most common method to overcome this problem.
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Communications in Statistics - Theory and Methods, 2012
In this article, the Stein-type Liu estimator and positive-rule Stein-type Liu estimator are constructed for the parameter vector in a multiple linear model under a multicollinearity situation when it is suspected that the regression coefficients may be restricted to a subspace.
Jianwen Xu, Hu Yang
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In this article, the Stein-type Liu estimator and positive-rule Stein-type Liu estimator are constructed for the parameter vector in a multiple linear model under a multicollinearity situation when it is suspected that the regression coefficients may be restricted to a subspace.
Jianwen Xu, Hu Yang
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Regression diagnostics methods for Liu estimator under the general linear regression model
Communications in statistics. Simulation and computation, 2019This paper introduces the regression diagnostic methods for the Liu estimator under the general linear regression model with the autocorrelated error structure which is modeled by first-order autoregressive process. To identify the leverage observations,
T. Açar, M. Özkale
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Stochastic restricted Liu estimator in linear mixed measurement error models
Communications in statistics. Simulation and computation, 2019This paper is concerned with the Liu estimator, stochastic restricted estimator and stochastic restricted Liu estimator of fixed and random effects in the linear mixed measurement error models.
F. Ghapani
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A new difference-based weighted mixed Liu estimator in partially linear models
Statistics (Berlin), 2018In this paper, a generalized difference-based estimator is introduced for the vector parameter in the partially linear model when the errors are correlated. A generalized difference-based Liu estimator is defined for the vector parameter .
E. Akdeniz, F. Akdeniz, M. Roozbeh
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