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A New biased estimator and variations based on the Kibria Lukman Estimator
Istanbul Journal of Mathematics, 2023Summary: One of the problems encountered in linear regression models is called multicollinearity problem which is an approximately linear relationship between the explanatory variables. This problem causes the estimated parameter values to be highly sensitive to small changes in the data.
AKAY, Kadri Ulaş +2 more
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SummaryThe gamma regression model explores the relationship between a skewed response variable and one or more independent variables. The method of maximum likelihood is popularly adopted to model the relationship. However, the method performance drops when linear dependency exists among the predictors (multicollinearity). In this article, we develop a
Gladys Amos Shewa +1 more
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Modified jackknife Kibria–Lukman estimator for the Poisson regression model
Concurrency and Computation: Practice and Experience, 2021AbstractPoisson regression is one of the methods to analyze count data and, the regression parameters are usually estimated using the maximum likelihood (ML) method. However, the ML method is sensitive to multicollinearity. Multicollinearity occurs when there is linear dependency among the explanatory variables.
Henrietta Ebele Oranye +1 more
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Concurrency and Computation: Practice and Experience, 2022
SummaryTo 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. However, the presence of outliers in the data set may have some adverse effects on
Abdul Majid +3 more
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SummaryTo 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. However, the presence of outliers in the data set may have some adverse effects on
Abdul Majid +3 more
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Communications in Statistics Part B: Simulation and Computation
Bhuiyan Mohammad Golam Kibria +2 more
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Bhuiyan Mohammad Golam Kibria +2 more
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New Class of Kibria–Lukman Estimator for Addressing Multicollinearity in Poisson Regression Model
Chiang Mai Journal of ScienceCount data are prevalent across various disciplines, and the Poisson regression model (PRM) is often employed to analyze such data due to its widespread popularity. The model’s parameters are typically estimated using the maximum likelihood estimator (MLE). However, when multicollinearity exists among the explanatory variables, MLE may lead to unstable
Ohud A. Alqasem +3 more
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On the jackknife Kibria-Lukman estimator for the linear regression model
Communications in Statistics - Simulation and Computation, 2021Fidelis Ifeanyi Ugwuowo +2 more
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Statistical Methods in Medical Research
The Cox proportional hazards regression model is a widely used and valuable tool for modeling survival time with predictors, however its performance can deteriorate in the presence of multicollinearity. It can lead to unreliable estimates from the maximum partial likelihood estimator.
Solmaz Seifollahi, Mohammad Arashi
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The Cox proportional hazards regression model is a widely used and valuable tool for modeling survival time with predictors, however its performance can deteriorate in the presence of multicollinearity. It can lead to unreliable estimates from the maximum partial likelihood estimator.
Solmaz Seifollahi, Mohammad Arashi
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Combination of the modified Kibria–Lukman and the principal component regression estimators
Communications in Statistics - Simulation and Computation, 2023Dan Huang, Jiewu Huang, Dewei Bai
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