检索结果-南通市图书馆

Measurement Error in Proportional Hazards Models for Survival Data with Long-term Survivors

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2012年第2期28卷 275-288页

作者： Xiao-bing ZHAO Xian ZHOU School of Mathematics and Statistics Zhejiang University of Finance and Economics Hangzhou 310018 China Department of Applied Finance and Actuarial Studies Macquarie University North Ryde Sydney NSW 2109Australia

This work studies a proportional hazards model for survival data with ＂long-term survivors＂, in which covariates are subject to linear measurement error. It is well known that the naive estimators from both partial and full likelihood methods are inconsistent under this measurement error model. For measurement error models, methods of unbiased estimating function and corrected likelihood have been proposed in the literature. In this paper, we apply the corrected partial and full likelihood approaches to estimate the model and obtain statistical inference from survival data with long-term survivors. The asymptotic properties of the estimators are established. Simulation results illustrate that the proposed approaches provide useful tools for the models considered.

关键词： proportional hazards counting process long-term survivor measurement error corrected scorefunction

Semiparametric Additive Intensity Model with Frailty for Recurrent Events

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2011年第9期27卷 1831-1842页

作者： Yah Yah LIU Yuan Shan WU School of Mathematics and Statistics Wuhan University Wuhan 430072 P. R. China

The seminal Cox＇s proportional intensity model with multiplicative frailty is a popular approach to analyzing the frequently encountered recurrent event data in scientific studies. In the case of violating the proportional intensity assumption, the additive intensity model is a useful alternative. Both the additive and proportional intensity models provide two principal frameworks for studying the association between the risk factors and the disease recurrences. However, methodology devel- opment on the additive intensity model with frailty is lacking, although would be valuable. In this paper, we propose an additive intensity model with additive frailty to formulate the effects of possibly time-dependent covariates on recurrent events as well as to evaluate the intra-class dependence within recurrent events which is captured by the frailty variable. The asymptotic properties for both the regression parameters and the association parameters in frailty distribution are established. Fhrthermore, we also investigate the large-sample properties of the estimator for the cumulative baseline intensity function.

关键词： Additive intensity model counting process Donsker class frailty recurrent events

A general additive-multiplicative rates model for recurrent event data

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Science China Mathematics 2009年第10期52卷 2257-2265页

作者： DAI JiaJia SUN LiuQuan YANG ZhenHai College of Science Guizhou UniversityGuiyang 550025China College of Applied Sciences Beijing University of TechnologyBeijing 100124China Institute of Applied Mathematics Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China

In this article, we propose a general additive-multiplicative rates model for recurrent event data. The proposed model includes the additive rates and multiplicative rates models as special cases. For the inference on the model parameters, estimating equation approaches are developed, and asymptotic properties of the proposed estimators are established through modern empirical process theory. In addition, an illustration with multiple-infection data from a clinic study on chronic granulomatous disease is provided.

关键词： recurrent event marginal model counting process generalized estimating equation 62G05 62N01

Case-cohort Analysis with General Additive-multiplicative Hazard Models

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2016年第4期32卷 851-866页

作者： Yi SUN Wen YU Ming ZHENG Department of Statistics School of ManagementFudan University

The case-cohort design is widely used in large epidemiological studms and prevention trials for cost reduction. In such a design, covariates are assembled only for a subcohort which is a random subset of the entire cohort and any additional cases outside the subcohort. In this paper, we discuss the case-cohort analysis with a class of general additive-multiplicative hazard models which includes the commonly used Cox model and additive hazard model as special cases. Two sampling schemes for the subcohort, Bernoulli sampling with arbitrary selection probabilities and stratified simple random sampling with fixed subcohort sizes, are discussed. In each setting, an estimating function is constructed to estimate the regression parameters. The resulting estimator is shown to be consistent and asymptotically normally distributed. The limiting variance-covariance matrix can be consistently estimated by the case-cohort data. A simulation study is conducted to assess the finite sample performances of the proposed method and a real example is provided.

关键词： additive-multipticative hazard case-cohort design counting process pseudo-score survival data

运用Anderson-GilI计数过程模型评价多类血清生物酶与非小细胞肺癌总体生存的关联

在线全文

学校读者我要写书评

暂无评论

运用Anderson-GilI计数过程模型评价多类血清生物酶与非小细胞肺...

作者：冉海良昆明医科大学

学位级别：硕士

[目的]本研究旨在考察动态生存分析方法在应对时依性协变量时的表现和统计特征,主要利用多结局生存模型评价生存期间多类动态变化的血清生物酶对非小细胞肺癌总体生存的影响。其次,比较动态生存分析模型与传统Cox比例风险模型结果的差... 详细信息

[目的]本研究旨在考察动态生存分析方法在应对时依性协变量时的表现和统计特征,主要利用多结局生存模型评价生存期间多类动态变化的血清生物酶对非小细胞肺癌总体生存的影响。其次,比较动态生存分析模型与传统Cox比例风险模型结果的差异。最后基于限制性立方样条函数,观察血清生物酶取值的变化与非小细胞肺癌病人死亡风险的剂量反应关系。[方法]研究对象为2013年1月1日至2018年12月31日期间在昆明医科大学第三附属医院就诊,经组织病理学诊断首诊为非小细胞肺癌并收治入院的病人。在评价生存期内动态变化的血清生物酶对非小细胞肺癌病人预后的影响时,我们根据多结局生存分析模型中counting process的思路,对生存数据进行重构,产生多条子观测,来构建包含时依性协变量的生存分析模型,以实现对血清生物酶动态效应的捕捉,并采用“夹心方差估计”调整组内相关性后,实现对总体生存关联效应值和可信区间的估计。Cox 比例风险模型用于估计诊断时刻下血清生物酶与非小细胞肺癌的总体生存关联效应值和可信区间。限制性立方样条函数分别拟合生存期间和诊断时刻下血清生物酶与非小细胞肺癌病人死亡风险的剂量反应关系。[结果]当前研究分别采用Cox比例风险模型和Anderson-Gill计数过程模型估计了 5种血清生物酶与非小细胞肺癌病人的生存关联。研究结果表明:乳酸脱氢酶、胆碱酯酶、γ-谷氨酰基转移酶以及碱性磷酸酯酶均与非小细胞肺癌的总体生存显著关联。我们发现:基线时乳酸脱氢酶高于正常水平的非小细胞肺癌患者,其预后更差（HR:1.51,95%CI:1.24-1.84,p＜0.001）;生存期内乳酸脱氢酶水平的升高会显著增加非小细胞肺癌病人的死亡风险（HR:1.94,95%CI:1.55-2.43,p＜0.001）;基线时胆碱酯酶水平更高的非小细胞肺癌患者,其预后更好（HR:0.75,95%CI:0.62-0.91,p=0.003）;生存期内胆碱酯酶水平的降低会显著增加非小细胞肺癌病人的死亡风险（HR:0.78,95%CI:0.62-0.98,p=0.032）;基线时γ-谷氨酰基转移酶高于正常水平的非小细胞肺癌患者,其平均死亡风险是正常水平组的1.33倍（HR:1.33,95%CI:1.10-1.60,p=0.003）;生存期间γ-谷氨酰基转移酶水平高于正常水平组的非小细胞肺癌病例,其平均死亡风险为正常患者的 1.85 倍（HR:1.85,95%CI:1.56-2.20,p＜0.001）;基线时碱性磷酸酯酶与非小细胞肺癌患者的预后不存在统计学关联（HR:1.19,95%CI:0.95-1.48,p=0.131）;生存期间碱性磷酸酯酶水平高于正常水平组的非小细胞肺癌病例,其平均死亡风险为正常患者的1.73倍（HR:1.73,95%CI:1.37-2.18,p＜0.001）;基线时α-L-岩藻糖苷酶与非小细胞肺癌的预后不存在统计学关联,（HR:0.91,95%CI:0.77-1.09,p=0.299）;生存期间α-L-岩藻糖苷酶与非小细胞肺癌病人的死亡风险关联也无统计学意义（HR:0.89,95%CI:0.74-1.08,p=0.231）。[结论]在生存期间,乳酸脱氢酶、胆碱酯酶、γ-谷氨酰基转移酶以及碱性磷酸酯酶与非小细胞肺癌病人的总体生存关联显著,提示监测这些常见的血清生物酶指标对了解非小细胞肺癌病人的预后有积极的意义。然而,上述指标与总体生存关联的机制仍需要进一步的研究,以明确干预的途径和效果,进而指导非小细胞肺癌的临床治疗策略。

关键词：非小细胞肺癌血清生物酶总体生存 counting process Cox比例风险模型 Anderson-Gill计数过程模型