Improved Kaplan-Meier Estimator in Survival Analysis Based on Partially Rank-Ordered Set Samples
Joint Authors
Ayatollahi, Seyyed Mohammad Taghi
Nematolahi, Samane
Nazari, Sahar
Shayan, Zahra
Amanati, Ali
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-31
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This study presents a novel methodology to investigate the nonparametric estimation of a survival probability under random censoring time using the ranked observations from a Partially Rank-Ordered Set (PROS) sampling design and employs it in a hematological disorder study.
The PROS sampling design has numerous applications in medicine, social sciences and ecology where the exact measurement of the sampling units is costly; however, sampling units can be ordered by using judgment ranking or available concomitant information.
The general estimation methods are not directly applicable to the case where samples are from rank-based sampling designs, because the sampling units do not meet the identically distributed assumption.
We derive asymptotic distribution of a Kaplan-Meier (KM) estimator under PROS sampling design.
Finally, we compare the performance of the suggested estimators via several simulation studies and apply the proposed methods to a real data set.
The results show that the proposed estimator under rank-based sampling designs outperforms its counterpart in a simple random sample (SRS).
American Psychological Association (APA)
Nematolahi, Samane& Nazari, Sahar& Shayan, Zahra& Ayatollahi, Seyyed Mohammad Taghi& Amanati, Ali. 2020. Improved Kaplan-Meier Estimator in Survival Analysis Based on Partially Rank-Ordered Set Samples. Computational and Mathematical Methods in Medicine،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1139582
Modern Language Association (MLA)
Nematolahi, Samane…[et al.]. Improved Kaplan-Meier Estimator in Survival Analysis Based on Partially Rank-Ordered Set Samples. Computational and Mathematical Methods in Medicine No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1139582
American Medical Association (AMA)
Nematolahi, Samane& Nazari, Sahar& Shayan, Zahra& Ayatollahi, Seyyed Mohammad Taghi& Amanati, Ali. Improved Kaplan-Meier Estimator in Survival Analysis Based on Partially Rank-Ordered Set Samples. Computational and Mathematical Methods in Medicine. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1139582
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139582