Large Covariance Estimation by Thresholding Principal Orthogonal Complements [PDF]
, 2013 This paper deals with the estimation of a high-dimensional covariance with a conditional sparsity structure and fast-diverging eigenvalues. By assuming sparse error covariance matrix in an approximate factor model, we allow for the presence of some cross-
Fan, Jianqing +2 more
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On the Performance of Principal Component Liu-Type Estimator under the Mean Square Error Criterion
Journal of Applied Mathematics, 2013 Wu (2013) proposed an estimator, principal component Liu-type estimator, to overcome multicollinearity. This estimator is a general estimator which includes ordinary least squares estimator, principal component regression estimator, ridge estimator, Liu ...
Jibo Wu
doaj +1 more source
Applications of Some Improved Estimators in Linear Regression [PDF]
, 2005 The problem of estimation of the regression coefficients under multicollinearity situation for the restricted linear model is discussed. Some improve estimators are considered, including the unrestricted ridge regression estimator (URRE), restricted ...
Kibria, B. M. Golam
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A New Biased Estimator Derived from Principal Component Regression Estimator [PDF]
, 2010 A new biased estimator obtained by combining the Principal Component Regression Estimator and the special case of Liu-type estimator is proposed.
Low, Heng Chin +2 more
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A new class of Poisson Ridge-type estimator
Scientific Reports, 2023 The Poisson Regression Model (PRM) is one of the benchmark models when analyzing the count data. The Maximum Likelihood Estimator (MLE) is used to estimate the model parameters in PRMs. However, the MLE may suffer from various drawbacks that arise due to
Esra Ertan, Kadri Ulaş Akay
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K-L Estimator: Dealing with Multicollinearity in the Logistic Regression Model
Mathematics, 2023 Multicollinearity negatively affects the efficiency of the maximum likelihood estimator (MLE) in both the linear and generalized linear models. The Kibria and Lukman estimator (KLE) was developed as an alternative to the MLE to handle multicollinearity ...
Adewale F. Lukman +5 more
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A High-Dimensional Counterpart for the Ridge Estimator in Multicollinear Situations
Mathematics, 2021 The ridge regression estimator is a commonly used procedure to deal with multicollinear data. This paper proposes an estimation procedure for high-dimensional multicollinear data that can be alternatively used.
Mohammad Arashi +3 more
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On the Liu and almost unbiased Liu estimators in the presence of multicollinearity with heteroscedastic or correlated errors [PDF]
Surveys in Mathematics and its Applications, 2009 This paper introduces a new biased estimator, namely, almost unbiased Liu estimator (AULE) of β for the multiple linear regression model with heteroscedastics and/or correlated errors and suffers from the problem of multicollinearity.
Mustafa I. Alheety, B. M. Golam Kibria
doaj
Some one and two parameter estimators for the multicollinear gaussian linear regression model: simulations and applications [PDF]
Surveys in Mathematics and its Applications, 2023 The ordinary least square estimator is inefficient when there exists multicollinearity among regressors in linear regression model. There are many methods available in literature to solve the multicollinearity problem. In this study, we consider some one
Md Ariful Hoque , B. M. Golam Kibria
doaj
A new almost unbiased estimator in stochastic linear restriction model [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper, a new almost unbiased estimator is proposed under stochastic linear restrictions model as alternative to mixed estimator. The performance of the proposed estimator compared to mixed estimator is examined using the matrix mean squared ...
Mustafa Ismaeel Naif
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