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Article
Kernel density estimation based on progressive type-II censoring
Journal of the Korean Statistical Society
  • Amal Helu, University of Jordan
  • Hani Samawi, Georgia Southern University, Jiann-Ping Hsu College of Public Health
  • Haresh Rochani, Georgia Southern University, Jiann-Ping Hsu College of Public Health
  • Jingjing Yin, Georgia Southern University, Jiann-Ping Hsu College of Public Health
  • Robert Vogel, Georgia Southern University, Jiann-Ping Hsu College of Public Health
Document Type
Article
Publication Date
1-1-2020
DOI
10.1007/s42952-019-00022-y
Abstract

Progressive censoring is essential for researchers in industry as a mean to remove subjects before the final termination point in order to save time and reduce cost. Recently, kernel density estimation has been intensively investigated due to its asymptotic properties and applications. In this paper, we investigate the asymptotic properties of the kernel density estimators based on progressive type-II censoring and their application to hazard function estimation. A bias-adjusted kernel density estimator is also proposed. Our simulation indicates that the kernel density estimates under progressive type-II censoring is competitive compared with kernel density estimates under simple random sampling, depending on the censoring schemes. An example regarding failure times of aircraft windshields is used to illustrate the proposed methods.

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Citation Information
Amal Helu, Hani Samawi, Haresh Rochani, Jingjing Yin, et al.. "Kernel density estimation based on progressive type-II censoring" Journal of the Korean Statistical Society Vol. 49 (2020) p. 475 - 498 ISSN: 2005-2863
Available at: http://works.bepress.com/hani_samawi/261/