
handle: 20.500.12358/27130
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, the asymptotic normality of the proposed estimator is investigated. The performance of the proposed estimator is tested using simulation study and real data.
Weibull Kernel, Asymptotic Normality, Hazard Rate Function, Kernel Estimation
Weibull Kernel, Asymptotic Normality, Hazard Rate Function, Kernel Estimation
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