Salha, R. (2013) Estimating the Density and Hazard Rate Functions Using the Reciprocal Inverse Gaussian Kernel. 15th Applied Stochastic Models and Data Analysis International Conference, Mataro (Barcelona), 25-28 June 2013.

has been cited by the following article:

• TITLE: Hazard Rate Function Estimation Using Weibull Kernel

  AUTHORS: Raid B. Salha, Hazem I. El Shekh Ahmed, Iyad M. Alhoubi

  KEYWORDS: Weibull Kernel, Hazard Rate Function, Kernel Estimation, Asymptotic Normality

  JOURNAL NAME: Open Journal of Statistics, Vol.4 No.8, September 30, 2014

  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, the asymptotic normality of the proposed estimator is investigated. The performance of the proposed estimator is tested using simulation study and real data.