@article{article_456336, title={On the Adaptive Nadaraya-Watson Kernel Estimator for the Discontinuity in the Presence of Jump Size}, journal={Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi}, volume={22}, pages={511–520}, year={2018}, author={Koyuncu, Nursel and Hanıf, Muhammad and Shahzadı, Shabnam and Shahzad, Usman}, keywords={Adaptive Nadaraya Watson,Jump size; Mean Integrated Square Error; Rate of convergence}, abstract={<span> <span> <span> <span> <span> <span> <span> <span>In this paper, we studied an Adaptive Nadaraya Watson kernel estimator to check the bias effect on both side of the discontinuity in the presence of jump size for regression discontinuity model. We have proposed the modified Adaptive Nadaraya Watson kernel estimator and derived its normality and <br />variance. We have also compared with the asymptotic normality of the Mean Integrated Square Error (MISE) of Adaptive Nadaraya Watson kernel estimator and Nadaraya Watson kernel estimator. The results obtained from the simulation study have showed that Adaptive Nadaraya Watson estimator has better performance than the Nadaraya Watson Kernel estimator. </span> </span> </span> </span> </span> </span> </span> <br /> </span>}, number={2}, publisher={Süleyman Demirel Üniversitesi}