請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/54249完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 江金倉 | |
| dc.contributor.author | Li-Pang Chen | en |
| dc.contributor.author | 陳立榜 | zh_TW |
| dc.date.accessioned | 2021-06-16T02:46:42Z | - |
| dc.date.available | 2019-02-15 | |
| dc.date.copyright | 2016-02-15 | |
| dc.date.issued | 2015 | |
| dc.date.submitted | 2015-07-17 | |
| dc.identifier.citation | Heath, M. T. (2005). Scientific computing: an introductory survey. McGraw-Hill, Singapore.
Horowitz, J. L. (2009). Semiparametric and nonparametric methods in econometrics. Springer Dordrecht Heidelberg London New York. Huang, C. Y., and Qin, J. (2011). Nonparametric estimation for length-biased and right-censored data. Biometrika 98, 177-186. Huang, C. Y. and Qin, J. (2013). Semiparametric estimation for the additive hazards model with left-truncated and right-censored data. Biometrika 1-12. Huang, C. Y., Follmann, D. A., and Qin, J. (2012). A maximum pseudo-profile likelihood estimator for the Cox model under length-biased sampling. Biometrika 99, 199-210. Lawless, J. F. (2003). Statistical models and methods for lifetime data. Wiley Hoboken, New Jersey. Lin, D. Y. and Ying, Z. (1994). Semiparametric analysis of the additive risk model. Biometrika 81, 61-71. Owen, A. B. (2001). Empirical likelihood. Chapman & Hall/CRC, Boca Raton. Qin, J. and Shen, Y. (2010). Statistical methods for analyzing right-censored length-biased data under Cox model. Biometrics 66, 382-92. Shen, P. S. (2009). Semiparametric analysis of survival data with left-truncation and right-censoring. Computational Statistics and Data Analysis 53, 4417-4432. Tsai, W. Y., Jewell, N. P. and Wang, M. C. (1987). A note on the product-limit estimator under right-censoring and left-truncation. Biometrika 74, 883-6. Wang, M. C. (1991). Nonparametric Estimation from cross-sectional survival data. J. Am. Statist. Assoc. 86, 130-43. Wang, M. C., Brookmeyer, R. and Jewell, N.P. (1993). Statistical models for prevalent cohort data. Biometrics 49, 1-11. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/54249 | - |
| dc.description.abstract | 本文主要探討左截斷右設限的存活資料並利用此資料來建構加法性的模型。本文將提供極大化擬概似函數的方式得到參數與非參數的估計量。並且從模擬中可以發現本文提及之方法所得到的標準誤會比文獻還要小。 | zh_TW |
| dc.description.abstract | This study focuses on investigating the additive hazards model with left-truncated and right-censored data. More specifically, we develop a pseudo likelihood estimation approach for the parameters of primary interests. Through the conducted simulations, the proposed estimator is further found to outperform the existing competitors in the literature. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-16T02:46:42Z (GMT). No. of bitstreams: 1 ntu-104-R02246006-1.pdf: 1036715 bytes, checksum: 3414e8483b9f8f2ce876a3b16bb0d53f (MD5) Previous issue date: 2015 | en |
| dc.description.tableofcontents | Acknowledgements i
Abstract (in Chinese) ii Abstract (in English) iii Table of Contents iv List of Figures v List of Tables vii 1 Introduction 1 2 LTRC Data and Existing Approaches 4 2.1 LTRC Data and Model Assumptions 4 2.2 Likelihood Function 5 2.3 The Existing Methods 7 3 Pseudo Likelihood Estimation 10 3.1 Estimation for H(a) 10 3.2 Smoothing Estimation for λ_0 12 3.3 Pseudo Likelihood Estimation for β 13 4 Simulations 14 4.1 Model Settings for (Z*,A*,T*) and C 14 4.2 Simulation Results 15 5 Conclusion 29 Appendix 30 References 32 | |
| dc.language.iso | en | |
| dc.subject | 條件概似函數 | zh_TW |
| dc.subject | 邊際概似函數 | zh_TW |
| dc.subject | Prevalent抽樣 | zh_TW |
| dc.subject | 擬概似函數 | zh_TW |
| dc.subject | 左截斷 | zh_TW |
| dc.subject | 右設限 | zh_TW |
| dc.subject | 核估計 | zh_TW |
| dc.subject | 條件概似函數 | zh_TW |
| dc.subject | 右設限 | zh_TW |
| dc.subject | 擬概似函數 | zh_TW |
| dc.subject | Prevalent抽樣 | zh_TW |
| dc.subject | 邊際概似函數 | zh_TW |
| dc.subject | 左截斷 | zh_TW |
| dc.subject | 核估計 | zh_TW |
| dc.subject | Prevalent sampling | en |
| dc.subject | Conditional likelihood | en |
| dc.subject | kernel estimator | en |
| dc.subject | Left-truncation | en |
| dc.subject | Marginal likelihood | en |
| dc.subject | pseudo likelihood | en |
| dc.subject | Right-censoring | en |
| dc.subject | Conditional likelihood | en |
| dc.subject | kernel estimator | en |
| dc.subject | Left-truncation | en |
| dc.subject | Marginal likelihood | en |
| dc.subject | Prevalent sampling | en |
| dc.subject | pseudo likelihood | en |
| dc.subject | Right-censoring | en |
| dc.title | 加法性模型在左截斷右設限資料結構下之擬概似函數估計 | zh_TW |
| dc.title | Pseudo Likelihood Estimation for the Additive Hazards Model with Data subject to Left-Truncation and Right-Censoring | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 103-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 黃禮珊,張子貴 | |
| dc.subject.keyword | 條件概似函數,核估計,左截斷,邊際概似函數,Prevalent抽樣,擬概似函數,右設限, | zh_TW |
| dc.subject.keyword | Conditional likelihood,kernel estimator,Left-truncation,Marginal likelihood,Prevalent sampling,pseudo likelihood,Right-censoring, | en |
| dc.relation.page | 33 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2015-07-17 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 應用數學科學研究所 | zh_TW |
| 顯示於系所單位： | 應用數學科學研究所 | |
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