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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.
In this paper, a jackknifed version of the K-L estimator in the Bell regression model is proposed, which combines the Jackknife process with the K-L estimator to reduce biasedness.
Suppose we have a sample x =( , ,..., )xx x12 n and an estimator θ = s()x. The jackknife focuses on the samples that leave out one observation at a time: x() 1 2 1 1iiin=( , ,..., , ,..., )xx x x x−+ for in=1,2,..., , called jackknife samples. The ith jackknife sample consists of the data set with the ith observation removed. Let
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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.
May 29, 2022 · This study proposed the Robust Jackknife Kibria-Lukman (RJKL) estimator based on the M-estimator to deal with multicollinearity and outliers. We examine the superiority of the estimator...
This study proposed the Robust Jackknife Kibria-Lukman (RJKL) estimator based on the M-estimator to deal with multicollinearity and outliers. We examine the superiority of the estimator over existing estimators using theoretical proofs and Monte Carlo simulations.
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Nov 22, 2022 · To circumvent the problem of multicollinearity in regression models, a ridge-type estimator is recently proposed in the literature, which is named as the Kibria–Lukman estimator (KLE). The KLE has better properties than the conventional ridge regression estimator.