請用此 Handle URI 來引用此文件:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/28847
完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 鄭明燕 | |
dc.contributor.author | Szu-cheng Lin | en |
dc.contributor.author | 林思成 | zh_TW |
dc.date.accessioned | 2021-06-13T00:25:41Z | - |
dc.date.available | 2009-07-31 | |
dc.date.copyright | 2007-07-31 | |
dc.date.issued | 2007 | |
dc.date.submitted | 2007-07-27 | |
dc.identifier.citation | Cheng, M.-Y. and Wu, J.-S. (2007). “Design adaptive local polynomial curve estimators. “ Manuscript.
Fan, J. (1993). “Local linear regression smoothers and their minimax efficiencies.“ Ann. of Statist., 21, 196-216. Gonzalez-Manteiga, W., Cao, R., and Marron, J.S. (1996). “Bootstrap selection of the smoothing parameter in nonparametric hazard rate estimation.” J. Amer. Statist. Assoc., 91, 1130-1140. Jiang, J. and Doksum, K. (2003). “On local polynomial estimation of hazard rates and their derivatives under random censoring.” In Mathematical Statistics and Applications: Festscrafts for Constance van Eeden. IMS, Monograph and Lecture Notes. Seifert, B. and Gasser, Th. (1996). “Finite-sample variance of local polynomials: analysis and solutions. “ J. Amer. Statist. Assoc., 91, 267-275. Seifert, B. and Gasser, Th. (2000). “Data adaptive ridging in local polynomial regression. “ J. Comput. Graphical Statist., 9, 338-360. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/28847 | - |
dc.description.abstract | 存活分析當中,真實的存活時間可能因其他事件先發生而無法觀察得到。本文考慮隨機右設限資料(right censoring survival data),並假設存活時間與設限時間互相獨立。我們改良Jiang and Doksum (2003) 的方法,同樣對一般化的經驗風險函數作局部多項式逼近,而進一步把每筆資料的訊息,分到其鄰近的區間,以改善資料稀少的問題。最後,我們利用模擬所得資料比較Jiang and Doksum的原始方法與我們改良後的方法。 | zh_TW |
dc.description.abstract | In survival studies, observations on the occurrence of the event of interest (called a failure) may be preceded by the previous occurrence of another event (called a censoring event). We assume the random censorship model, and consider Jiang and Doksum (2003) method to estimate the hazard function. By averaging each observation to its neighborhood, we adapt the estimator to sparse data. Finally, we compare our adaptive method with the original one by simulation studies. | en |
dc.description.provenance | Made available in DSpace on 2021-06-13T00:25:41Z (GMT). No. of bitstreams: 1 ntu-96-R90221009-1.pdf: 682467 bytes, checksum: bb13832fe563b39bf0adcb6845c8826f (MD5) Previous issue date: 2007 | en |
dc.description.tableofcontents | 致謝 i
摘要 ii Abstract iii 目錄 iv 引言 1 估計方法 3 模擬與比較 5 結論與展望 20 參考文獻 21 | |
dc.language.iso | zh-TW | |
dc.title | 風險函數之局部多項式估計:針對資料稀少問題之改良 | zh_TW |
dc.title | Hazard Rate Estimation by Local Polynomial Method: Adaption to Data Sparsity | en |
dc.type | Thesis | |
dc.date.schoolyear | 95-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 丘政民,陳秀熙,張淑惠,戴政 | |
dc.subject.keyword | 風險函數,局部多項式,資料稀少, | zh_TW |
dc.subject.keyword | Hazard rate,Local polynomial,Sparsity, | en |
dc.relation.page | 21 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2007-07-27 | |
dc.contributor.author-college | 理學院 | zh_TW |
dc.contributor.author-dept | 數學研究所 | zh_TW |
顯示於系所單位: | 數學系 |
文件中的檔案:
檔案 | 大小 | 格式 | |
---|---|---|---|
ntu-96-1.pdf 目前未授權公開取用 | 666.47 kB | Adobe PDF |
系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。