Density and Risk Function of the Circular Kernel Study

Authors

  • Didier Alain Njamen Njomen University of Maroua
  • Hubert Clovis Yayebga

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i4.3519

Abstract

This article is based on the works of [1], [2] and [3] on the estimation of the survival function and the function of risk in independent cases and identically distributed with and without censorship from which we established the bias and variance of the density of the circular kernel. In addition, we determined the optimal window b ∗ n of this estimator after having first established the mean square error (MSE) and mean integrated squared error (MISE) which are necessary conditions for obtaining the optimal window. Finally, we have established the asymptotic expression of the bias of the risk function of the circular kernel estimator

Author Biography

  • Didier Alain Njamen Njomen, University of Maroua
    Faculty of Science, Departement of Mathematics

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Published

2019-10-31

Issue

Vol. 12 No. 4: (October 2019)

Section

Nonlinear Analysis

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How to Cite

Density and Risk Function of the Circular Kernel Study. (2019). European Journal of Pure and Applied Mathematics, 12(4), 1612-1642. https://doi.org/10.29020/nybg.ejpam.v12i4.3519