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  1. 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.

  2. 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.

  3. Jackknife. One of the earliest techniques to obtain reliable statistical estimators is the jackknife technique. It requires less computational power than more recent techniques. Suppose we have a sample x ( x , x ,..., 2. x ) and an estimator.

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  4. The bias-corrected jackknife estimate of is b jack = b bias(d b) = n b (n 1) b Mathematically, it can be shown that bias(d b) is an unbiased estimator of the true bias for many statistics. For other statistics, although b jack is a biased estimator of the true bias, the bias of b jack is reduced in comparison to the unadjusted estimate b. 41

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  5. Apr 1, 2022 · To eliminate the adverse effects of multicollinearity in the negative binomial regression model, we propose the use of a jackknife version of the Kibria–Lukman estimator.

  6. 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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  8. 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.

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