
handle: 20.500.12358/27118
In this paper, we de ne the Erlang kernel and use it to nonparametically estimation of the probability density function (pdf) and the hazard rate function for inde- pendent 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 pro- posed estimator is tested using simulation study and real data. تقدير دالة معدل المخاطرة باستخدام إيرلنك كيرنال
hazard rate function, Erlang kernel, kernel estimation, asymp- totic normality
hazard rate function, Erlang kernel, kernel estimation, asymp- totic normality
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