Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=50252#.VDNPhFfHRK0 Author(s) Raid B. Salha 1 , Hazem I. El Shekh Ahmed 2 , Iyad M. Alhoubi 3 Affiliation(s) 1 Department of Mathematics, The Islamic University of Gaza, Gaza, Palestine . 2 Department of Mathematics, Al Quds Open University, Gaza, Palestine . 3 Academic Department, University College of Science and Technology, Gaza, Palestine . ABSTRACT In this paper, we define the Weibull kernel and use it to nonparametric estimation of the probability density function (pdf) and the hazard rate function for independent and identically distributed (iid) data. The bias, variance and the optimal bandwidth of the proposed estimator are investigated. Moreover, th...
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