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Applications of resampling methods in multivariate Liu estimator
Computational Statistics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pirmohammadi, Shima, Bidram, Hamid
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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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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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Modified Almost Unbiased Liu Estimator in Linear Regression Model
Communications in Mathematics and Statistics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arumairajan, Sivarajah +1 more
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Modified almost unbiased Liu estimator in logistic regression
Communications in Statistics - Simulation and Computation, 2019This paper focuses on introducing a new parameter estimator to the logistic regression model when the multicollinearity presents.
Nagarajah Varathan +1 more
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A New Liu-Ratio Estimator For Linear Regression Models
Istanbul Journal of MathematicsSummary: In statistical modeling, regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables. Although there are various methods for estimating parameters, the most popular is the Ordinary Least Squares (OLS) method.
Giresunlu, İ. M. +2 more
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MODIFICATION OF LIU-TYPE ESTIMATOR FOR TWO SUR MODEL
Advances and Applications in Statistics, 2019Summary: In this paper, we suggest a new biased Liu-Type estimator for the vector of parameters in a two SUR model. This Liu-type two SUR estimator based on ridge estimation. Furthermore, the superiority of this estimator from the ridge estimator and Liu-Type estimator was verified by mean square error (MSE).
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