On the preliminary test Kibria-Lukman estimator for the linear regression model

Kibria and Lukman introduced the Kibria-Lukman estimator, which in some circumstances performs better than the ridge estimator. In this study, we combined the idea of the Kibria-Lukman estimator with the preliminary test method to produce the preliminary test Kibria-Lukman estimator (PTKLE). We discover the prerequisites for a particular estimator's supremacy over the rest. Finally, a numerical example is provided to demonstrate the theoretical findings.