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Estimation the Hazard Rate Function using Gumbel Type 2 Kernel

by Ola A. Elsamadony, Ahmed Mattar
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 185 - Number 6
Year of Publication: 2023
Authors: Ola A. Elsamadony, Ahmed Mattar
10.5120/ijca2023922709

Ola A. Elsamadony, Ahmed Mattar . Estimation the Hazard Rate Function using Gumbel Type 2 Kernel. International Journal of Computer Applications. 185, 6 ( May 2023), 12-15. DOI=10.5120/ijca2023922709

@article{ 10.5120/ijca2023922709,
author = { Ola A. Elsamadony, Ahmed Mattar },
title = { Estimation the Hazard Rate Function using Gumbel Type 2 Kernel },
journal = { International Journal of Computer Applications },
issue_date = { May 2023 },
volume = { 185 },
number = { 6 },
month = { May },
year = { 2023 },
issn = { 0975-8887 },
pages = { 12-15 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume185/number6/32704-2023922709/ },
doi = { 10.5120/ijca2023922709 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:25:22.722508+05:30
%A Ola A. Elsamadony
%A Ahmed Mattar
%T Estimation the Hazard Rate Function using Gumbel Type 2 Kernel
%J International Journal of Computer Applications
%@ 0975-8887
%V 185
%N 6
%P 12-15
%D 2023
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Survival analysis is a branch of statistics where it is a collection of statistical procedures for data analysis where the outcome variable of interest is time until an event occurs, such as failure in mechanical systems. Hazard rate estimation for the lifetime event is a basic tool for processing survival analysis. Kernel estimators are boundary effects near the endpoints of the support of the hazard rate and some solutions have been proposed to solve this problem, including the use of asymmetric kernel functions like the Gumbel type 2 kernel function. We study the non-parametric estimation of the hazard rate function using the Gumbel type 2 kernel function for identically independent data. The bias, variance and optimal bandwidth will be investigated, then AMSE of the proposed estimator were obtained.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Nonparametric estimation Kernel functions Gumbel Type 2 Bandwidth Hazard rate function

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