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1. www.frontiersin.org › journals › applied-mathematicsFrontiers | Generalized Kibria-Lukman Estimator: Method ...

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   The Kibria-Lukman (KL) estimator is a recent estimator that has been proposed to solve the multicollinearity problem. In this paper, a generalized version of the KL estimator is proposed, along with the optimal biasing parameter of our proposed estimator derived by minimizing the scalar mean squared error.

2. www.researchgate.net › publication › 360095086(PDF) Generalized Kibria-Lukman Estimator: Method, Simulation ...

   www.researchgate.net › publication › 360095086

   Apr 1, 2022 · The Kibria-Lukman (KL) estimator is a recent estimator that has been proposed to solve the multicollinearity problem. In this paper, a generalized version of the KL estimator is...

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4. www.sciencedirect.com › science › articleKibria–Lukman estimator for the Conway–Maxwell Poisson ...

   www.sciencedirect.com › science › article

   Mar 1, 2023 · As an alternative to the ridge and Liu estimators, Kibria and Lukman [16] proposed new ridge–type estimator to resolve the issue of multicollinearity in the linear regression model. This estimator is called the Kibria–Lukman (KL) estimator.

5. www.researchgate.net › publication › 360095086GeneralizedKibria-Lukman Estimator:Method,Simulation,and ...

   www.researchgate.net › publication › 360095086

   called the Kibria–Lukman (KL) estimator which is defined by βˆKL = (X′X +kIp)−1(X′X −kIp)βˆ,k > 0 This estimator has been extended for use in different generalized linear models ...

6. www.semanticscholar.org › paper › Generalized-KibriaGeneralized Kibria-Lukman Estimator: Method, Simulation, and ...

   www.semanticscholar.org › paper › Generalized-Kibria

   Apr 20, 2022 · The Kibria-Lukman (KL) estimator is a recent estimator that has been proposed to solve the multicollinearity problem. In this paper, a generalized version of the KL estimator is proposed, along with the optimal biasing parameter of our proposed estimator derived by minimizing the scalar mean squared error.

7. www.tandfonline.com › doi › fullOn the jackknife Kibria-Lukman estimator for the linear ...

   www.tandfonline.com › doi › full

   Nov 26, 2021 · In this paper, we developed a Jackknifed version of the Kibria-Lukman estimator- the estimator is named the Jackknifed KL estimator (JKLE). We derived the statistical properties of the new estimator and compared it theoretically with the KLE and some other existing estimators.

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   What is the Kibria-Lukman estimator?

   • The Kibria-Lukman (KL) estimator is a recent estimator that has been proposed to solve the multicollinearity problem. In this paper, a generalized version of the KL estimator is proposed, along with the optimal biasing parameter of our proposed estimator derived by minimizing the scalar mean squared error.

   (PDF) Generalized Kibria-Lukman Estimator: Method, Simulation, and

   www.researchgate.net/publication/360095086_Generalized_Kibria-Lukman_Estimator_Method_Simulation_and_Application

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   What is Kibria Lukman (KL) estimator?

   • As an alternative to the ridge and Liu estimators, Kibria and Lukman proposed new ridge–type estimator to resolve the issue of multicollinearity in the linear regression model. This estimator is called the Kibria–Lukman (KL) estimator.

   Kibria–Lukman estimator for the Conway–Maxwell Poisson regression m…

   www.sciencedirect.com/science/article/pii/S2468227623000121

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   Does Kibria-Lukman estimator reduce multicollinearity?

   • In this paper, we proposed an extended version of the Kibria–Lukman estimator (COMPKL estimator) to the Conway–Maxwell Poisson regression model to reduce the effect of the multicollinearity problem. We demonstrated that our proposed estimator is more efficient than previous biased estimators proposed in the literature (ridge and Liu estimators).

   Kibria–Lukman estimator for the Conway–Maxwell Poisson regression m…

   www.sciencedirect.com/science/article/pii/S2468227623000121

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   What is a jackknife Kibria-Lukman estimator?

   • On the jackknife Kibria-Lukman estimator .... The linear regression model explores the relationship between the dependent variable and the independent variables. The ordinary least squared estimator (OLSE) is widely applicable to estimate the parameters of the model.

   On the jackknife Kibria-Lukman estimator for the linear regression

   www.tandfonline.com/doi/full/10.1080/03610918.2021.2007401

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   Does the compkl estimator outperform ml Ridge & Liu estimators?

   • Two life applications were analyzed to illustrate the performance of the COMPKL estimator. The results of the simulation study and applications indicated that the COMPKL estimator outperforms the ML, ridge, and Liu estimators, especially when the explanatory variables are highly correlated. No Conflict of interest is declared by the authors.

   Kibria–Lukman estimator for the Conway–Maxwell Poisson regression m…

   www.sciencedirect.com/science/article/pii/S2468227623000121

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   Which estimator has the lowest MSE value?

   • The MSE values of the COMPRR, COMPL, and COMPKL estimators are lower than the MSE value of the COMPML estimator. The COMPKL estimator, on the other hand, has the lowest MSE value. Furthermore, the MSE values of k ^ 1, k ^ 2, and k ^ 4 for the COMPKL estimator are lower than other estimators.

   Kibria–Lukman estimator for the Conway–Maxwell Poisson regression m…

   www.sciencedirect.com/science/article/pii/S2468227623000121

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9. www.ncbi.nlm.nih.gov › pmc › articlesModified Kibria-Lukman (MKL) estimator for the Poisson ...

   www.ncbi.nlm.nih.gov › pmc › articles

   Dec 14, 2021 · MSE(βˆPLE)= ∑P j=1 (λj + d)2 λj(λj + 1)2 + (d − 1)2 ∑p j−1 α2j (λj + 1)2. (2.9) where λj is the j th eigenvalue of X′LˆX and α j is the j th element of α. The KL estimator was proposed by Kibria and Lukman (2020) as a means of mitigating the effect of multicollinearity on parameter estimation.