학술논문

Kernel density estimation based on progressive type-II censoring.
Document Type
Journal
Author
Helu, Amal (JOR-JOR) AMS Author Profile; Samawi, Hani (1-GSO-PBH) AMS Author Profile; Rochani, Haresh (1-GSO-PBH) AMS Author Profile; Yin, Jingjing (1-GSO-PBH) AMS Author Profile; Vogel, Robert (1-GSO-PBH) AMS Author Profile
Source
Journal of the Korean Statistical Society (J. Korean Statist. Soc.) (20200101), 49, no.~2, 475-498. ISSN: 1226-3192 (print).eISSN: 2005-2863.
Subject
62 Statistics -- 62N Survival analysis and censored data
  62N01 Censored data models
Language
English
Abstract
Summary: ``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.''