The main aim of our work is to compare nonparametric estimators of the density function f using the three families of asymmetric kernels: Generalized Gamma “GG”, Generalized Birnbaum-Saunders “GBS” and the family of Log-Symmetric kernels “LS”, as well as with estimators of the hazard rate \(\lambda \) using these three families. In order to evaluate the performance of the estimators of f and \(\lambda \) , we will carry out simulations and applications with real data.

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Estimation of Density and Hazard Rate Functions in the Case of Three Families of Asymmetric Kernels

  • Massilva Bourouina,
  • Aicha Bareche,
  • Yasmina Ziane

摘要

The main aim of our work is to compare nonparametric estimators of the density function f using the three families of asymmetric kernels: Generalized Gamma “GG”, Generalized Birnbaum-Saunders “GBS” and the family of Log-Symmetric kernels “LS”, as well as with estimators of the hazard rate \(\lambda \) using these three families. In order to evaluate the performance of the estimators of f and \(\lambda \) , we will carry out simulations and applications with real data.