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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
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dc.contributor.advisor | 江金倉 | |
dc.contributor.author | Ren-Hong Bai | en |
dc.contributor.author | 白任宏 | zh_TW |
dc.date.accessioned | 2021-06-13T16:38:35Z | - |
dc.date.available | 2011-07-26 | |
dc.date.copyright | 2011-07-26 | |
dc.date.issued | 2011 | |
dc.date.submitted | 2011-07-18 | |
dc.identifier.citation | REFERENCES
Anderson, J. A. (1972). Separate sample logistic discrimination. Biometrika. 59, 19-35. Bellman, R. (1961). Adaptive control processes: a guide tour. Princeton. New Jersey. Breslow, N. E., McNeney, B., and Wellner, J. A. (2003). Large sample theory for semiparametric regression models with two-phase, outcome dependent sampling. Annals of Statistics. 31, 1110-1139. Chiang, C. T. and Huang, M. Y. (2011). New estimation and inference procedures for a single-index conditional distribution model. Submitted. Efron, B. (1979). Bootstrap methods: another look at the Jackknife. Annals of Statistics. 7, 1-26. Han, A. K. (1987). Nonparametric analysis of a generalized regression model. Journal of Econometrics. 35, 303-316. Ichimura, H. (1993). Semiparametric least squares (SLS) and weighted SLS estimation of single-index models. Journal of Econometrics. 58, 71-120. Jiang, Y., Scott, A. J. and Wild, C. J. (2009). Case-control analysis with a continuous outcome variable. Statistics in Medicine. 28, 194-204. Klein, R. W. and Spady, R. H. (1993). An efficient semiparametric estimator for binary response models. Econometrica. 61, 387-421. Lee, A. J., Scott, A. J., and Wild, C. J. (2010). Efficient estimation in multi-phase case-control studies. Biometrika. 97, 361-374. Pakes, A. and Pollard, D. (1989). Simulation and the asymptotics of optimization estimators. Econometrica 57, 1027-1057. Pollard, D. (1984). Convergence of stochastic processes. Springer. New York. Prentice, R. L. and Pyke, R. (1979). Logistic disease incidence models and case-control studies. Biometrika. 66, 403-11. Scott, A. J. and Wild, C. J. (1997). Fitting regression models to case-control data. Biometrika. 84, 57-71. Sherman, R. P. (1993). The limiting distribution of the maximum rank correlation estimator. Econometrica. 61, 123-137. Serfling, R. J. (1980). Approximation theorems for mathematical statistics. Wiley. New York. Thompson J. M. D., Clark P. M., Robinson E., Becroft D. M. O., Pattison N. S., Glavish N., Pryor J. E., Wild C. J., Rees K., and Mitchell E. A. (2001). Risk factors for small-for-gestational-age babies: The Auckland Birthweight Collaborative Study. Journal of Paediatrics and Child Health. 37, 369-375. Wild, C. J. (1991). Fitting prospective regression models to case-control data. Biometrika. 78, 705-717. Xia, Y. (2009). Model checking in regression via dimension reduction. Biometrika. 96, 133-148. Zou, H. (2006). The adaptive Lasso and its oracle properties. Journal of the American Statistical Association. 101, 1418-1428. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/38595 | - |
dc.description.abstract | The present study aimed to characterize the relationship between a binary response and covariates of interest through a more general single-index regression model. Based on case-control data supplemented by information on population totals, we primarily propose a pseudo likelihood estimation for the index coefficients of the considered semiparametric model. Two additional estimation procedures are further provided for different research purposes although the resulting estimators are relatively inefficient compared to the pseudo maximum likelihood one in general situations. Under the assumption of strictly increasing response function, an accuracy measure in the receiver operating characteristic curve analysis is borrowed to build an estimation criterion in which only those subjects with complete covariate information are included in estimation. To check the model correctness, a pseudo least squares estimation is employed as an aid to devising a suitable testing procedure. In addition, the general large sample properties of the proposed estimators and the related bootstrap inference procedures are developed. To assess the finite-sample performance of the estimation and inference procedures, an extensive simulation experiment is conducted. An empirical example from a lowbirthweight study in Auckland is also used to illustrate the applicability of our methodologies. | en |
dc.description.provenance | Made available in DSpace on 2021-06-13T16:38:35Z (GMT). No. of bitstreams: 1 ntu-100-R98221024-1.pdf: 320104 bytes, checksum: c807493b5be293276b0dc9c7ca0aed23 (MD5) Previous issue date: 2011 | en |
dc.description.tableofcontents | Contents
Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . i Abstract (in Chinese) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ii Abstract (in English) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iii Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iv List of Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v 1 Introduction 1 2 Estimation and Model Checking 4 2.1 Pseudo Maximum Likelihood Estimation . . . . . . . . . . . . . . . . . . 4 2.2 Estimation Through Accuracy Measures . . . . . . . . . . . . . . . . . . 6 2.3 Pseudo Least Squares Estimation and Model Ch-ecking . . . . . . . . . . 8 3 Inference Procedures 10 3.1 Consistency and Asymptotic Normality of βh and βh . . . . . . . . . . . 10 3.2 Bootstrap Inferences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 4 Simulations and Application 19 4.1 Simulation I - Estimation and Confidence Interval . . . . . . . . . . . . . 19 4.2 Simulation II - Model Checking . . . . . . . . . . . . . . . . . . . . . . . 20 4.3 Application to Auckland Birthweight Collaborative Study . . . . . . . . 21 5 Concluding Remarks and Future Research 27 Reference 28 | |
dc.language.iso | en | |
dc.title | 針對半參數二元反應模型在補充性對照資料下之研究 | zh_TW |
dc.title | Semiparametric Binary Response Models with Supplementary Case-Control Data | en |
dc.type | Thesis | |
dc.date.schoolyear | 99-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 陳宏,周若珍,林正祥 | |
dc.subject.keyword | 精確測度,自助重取法,交互驗證法,虛擬最小平方估計法,虛擬最大概似估計法,單指標模型,接受者操作特徵曲線,補充性對照資料, | zh_TW |
dc.subject.keyword | accuracy measure,bootstrap,cross-validation,pseudo least squares estimator,pseudo maximum likelihood estimator,single-index model,receiver operating characteristic curve,supplementary case-control data., | en |
dc.relation.page | 29 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2011-07-18 | |
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 |
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