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A Product-Limit Estimator of the Conditional Survival Function When Cure Status Is Partially Known
dc.contributor.author | Safari, Wende Clarence | |
dc.contributor.author | López-de-Ullibarri, Ignacio | |
dc.contributor.author | Jácome, M. A. | |
dc.date.accessioned | 2023-12-26T10:29:42Z | |
dc.date.available | 2023-12-26T10:29:42Z | |
dc.date.issued | 2021-03-01 | |
dc.identifier.citation | Safari WC, López-de-Ullibarri I, Jácome MA. A product-limit estimator of the conditional survival function when cure status is partially known. Biometrical Journal. 2021; 63: 984–1005. https://doi.org/10.1002/bimj.202000173 | es_ES |
dc.identifier.issn | 1521-4036 | |
dc.identifier.issn | 0323-3847 | |
dc.identifier.uri | http://hdl.handle.net/2183/34630 | |
dc.description | This is the peer reviewed version of the following article: Safari, W. C., López-de-Ullibarri, I., & Jácome, M. A. (2021). Correction: A product-limit estimator of the conditional survival function when cure status is partially known. Biometrical Journal, 63, 1544–1546. https://doi.org/10.1002/bimj.202000173, which has been published in final form at https://doi.org/10.1002/bimj.202000173. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited. | es_ES |
dc.description.abstract | [Abstract] We introduce a nonparametric estimator of the conditional survival function in the mixture cure model for right-censored data when cure status is partially known. The estimator is developed for the setting of a single continuous covariate but it can be extended to multiple covariates. It extends the estimator of Beran, which ignores cure status information. We obtain an almost sure representation, from which the strong consistency and asymptotic normality of the estimator are derived. Asymptotic expressions of the bias and variance demonstrate a reduction in the variance with respect to Beran's estimator. A simulation study shows that, if the bandwidth parameter is suitably chosen, our estimator performs better than others for an ample range of covariate values. A bootstrap bandwidth selector is proposed. Finally, the proposed estimator is applied to a real dataset studying survival of sarcoma patients. | es_ES |
dc.description.sponsorship | We are grateful to Dr. Ángel Díaz-Lagares, Head of Cancer Epigenomics Lab, Translational Medical Oncology Group (IDIS, CHUS), for providing with the sarcoma dataset obtained from the public The Cancer Genome Atlas (TCGA) program. This work has been supported by MINECO grant MTM2017-82724-R, the Xunta de Galicia (Grupos de Referencia Competitiva ED431C-2016-015), and the Centro de Investigación de Galicia “CITIC,” funded by Xunta de Galicia and the European Union (European Regional Development Fund-Galicia 2014-2020 Program), by grant ED431G 2019/01, all of them through the ERDF | es_ES |
dc.description.sponsorship | Xunta de Galicia; ED431C-2016-015 | es_ES |
dc.description.sponsorship | Xunta de Galicia; ED431G 2019/01 | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Wiley | es_ES |
dc.relation | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-82724-R/ES/INFERENCIA ESTADISTICA FLEXIBLE PARA DATOS COMPLEJOS DE GRAN VOLUMEN Y DE ALTA DIMENSION | es_ES |
dc.relation.uri | https://doi.org/10.1002/bimj.202000173 | es_ES |
dc.subject | Bootstrap bandwidth | es_ES |
dc.subject | Censoring | es_ES |
dc.subject | Cure model | es_ES |
dc.subject | Kernel estimator | es_ES |
dc.subject | Nadaraya-Watson weights | es_ES |
dc.title | A Product-Limit Estimator of the Conditional Survival Function When Cure Status Is Partially Known | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.access | info:eu-repo/semantics/openAccess | es_ES |
UDC.journalTitle | Biometrical Journal | es_ES |
UDC.volume | 63 | es_ES |
UDC.issue | 5 | es_ES |
UDC.startPage | 984 | es_ES |
UDC.endPage | 1005 | es_ES |
dc.identifier.doi | 10.1002/bimj.202000173 |
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