| 区间数据情形下线性模型的经验似然推断 |
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| 作者姓名： | He Qixiang Zheng Ming |
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| 作者单位： | [1]Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai 200433,China. [2]Department of Statistics,Fudan University,Shanghai 200433,China |
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| 摘 要： | §1Introduction Instatisticalapplications,weoftenencounterintervalcensoreddatawhenafailure timeYcannotbeobserved,butcanonlybedeterminedtolieinanintervalobtainedfroma sequenceofexaminationtimes.Forinstance,themaximumdosagewhichpatientscan endureisconcerned.LetYibethemaximumdosagewhichtheithpatientcanendure,Ui,j(j=1,2,...,k)bethedosagewhichthepatienthasbeentested.ItisobviousthatYiis unobservable.SupposetheithpatientisnormalwhenthedosageisUi,j,andhe(orshe)is abnormalwhenthedosageisUi,j+1.Then…
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| 关 键 词： | 经验主义 可能性 评估系数 线性模型 数据分析 |
| 收稿时间： | 2005-01-19 |
Empirical likelihood-based inference in linear models with interval censored data |
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| He Qixiang Zheng Ming.Empirical likelihood-based inference in linear models with interval censored data[J].Applied Mathematics A Journal of Chinese Universities,2005,20(3):338-346. |
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| Authors: | He Qixiang Zheng Ming |
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| Institution: | (1) Department of Applied Mathematics, Shanghai University of Finance and Economics, 200433 Shanghai, China;(2) Department of Statistics, Fudan University, 200433 Shanghai, China |
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| Abstract: | An empirical likelihood approach to estimate the coefficients in linear model with interval censored responses is developed in this paper. By constructing unbiased transformation of interval censored data,an empirical log-likelihood function with asymptotic X^2 is derived. The confidence regions for the coefficients are constructed. Some simulation results indicate that the method performs better than the normal approximation method in term of coverage accuracies. |
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| Keywords: | interval censored data linear model empirical likelihood unbiased transformation |
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