Asymptotic properties of Kaplan–Meier estimator and hazard estimator for censored survival time with LENQD data

Yongming Li, Weicai Pang, Ziqing Feng and Naiyi Li

Statistical Theory and Related Fields, 2024, vol. 8, issue 2, 107-116

Abstract: In this paper, we consider the estimators of distribution function and hazard rate for censored survival time. First, some properties and inequalities are established for linearly extended negative quadrant-dependent sequence as auxiliary results. Then by applying the properties and inequalities, we investigate the strong consistency and strong representation for the Kaplan–Meier estimator and hazard rate estimator with censored linearly extended negative quadrant-dependent data. Under some mild conditions, we derive that the rates of strong consistency are near $ O(n^{-1/2}\log ^{1/2} n) $ O(n−1/2log1/2⁡n) and also obtain the strong representations with the remainder of order $ O(n^{-1/2}\log ^{1/2} n) $ O(n−1/2log1/2⁡n). The results established here extend and generalize the corresponding ones in recent literature.

Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/24754269.2024.2302754 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:tstfxx:v:8:y:2024:i:2:p:107-116

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/tstf20

DOI: 10.1080/24754269.2024.2302754

Access Statistics for this article

Statistical Theory and Related Fields is currently edited by Zhao Wei

More articles in Statistical Theory and Related Fields from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().