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題名 Ultrahigh-dimensional sufficient dimension reduction for censored data with measurement error in covariates
作者 陳立榜
Chen, Li-Pang
貢獻者 統計系
關鍵詞 Cumulative mean estimation; dimension reduction; distance correlation; feature screening; measurement error; survival data; ultrahigh-dimension
日期 2020-11
上傳時間 21-Sep-2022 11:46:13 (UTC+8)
摘要 In this paper, we consider the ultrahigh-dimensional sufficient dimension reduction (SDR) for censored data and measurement error in covariates. We first propose the feature screening procedure based on censored data and the covariates subject to measurement error. With the suitable correction of mismeasurement, the error-contaminated variables detected by the proposed feature screening procedure are the same as the truly important variables. Based on the selected active variables, we develop the SDR method to estimate the central subspace and the structural dimension with both censored data and measurement error incorporated. The theoretical results of the proposed method are established. Simulation studies are reported to assess the performance of the proposed method. The proposed method is implemented to NKI breast cancer data.
關聯 Journal of Applied Statistics, Vol.49, No.5, pp.1154-1178
資料類型 article
DOI https://doi.org/10.1080/02664763.2020.1856352
dc.contributor 統計系
dc.creator (作者) 陳立榜
dc.creator (作者) Chen, Li-Pang
dc.date (日期) 2020-11
dc.date.accessioned 21-Sep-2022 11:46:13 (UTC+8)-
dc.date.available 21-Sep-2022 11:46:13 (UTC+8)-
dc.date.issued (上傳時間) 21-Sep-2022 11:46:13 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/142028-
dc.description.abstract (摘要) In this paper, we consider the ultrahigh-dimensional sufficient dimension reduction (SDR) for censored data and measurement error in covariates. We first propose the feature screening procedure based on censored data and the covariates subject to measurement error. With the suitable correction of mismeasurement, the error-contaminated variables detected by the proposed feature screening procedure are the same as the truly important variables. Based on the selected active variables, we develop the SDR method to estimate the central subspace and the structural dimension with both censored data and measurement error incorporated. The theoretical results of the proposed method are established. Simulation studies are reported to assess the performance of the proposed method. The proposed method is implemented to NKI breast cancer data.
dc.format.extent 109 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Journal of Applied Statistics, Vol.49, No.5, pp.1154-1178
dc.subject (關鍵詞) Cumulative mean estimation; dimension reduction; distance correlation; feature screening; measurement error; survival data; ultrahigh-dimension
dc.title (題名) Ultrahigh-dimensional sufficient dimension reduction for censored data with measurement error in covariates
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1080/02664763.2020.1856352
dc.doi.uri (DOI) https://doi.org/10.1080/02664763.2020.1856352