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An Additive Hazards Model for Clustered Recurrent Gap Times

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Journal of Systems Science & Complexity 2018年第5期31卷 1377-1390页

作者： KANG Fangyuan sun liuquan CHENG Ximing School of Applied Science Beijing Information Science and Technology University Beijing 100192 China Institute of Applied Mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China

In this article, clustered recurrent gap time is investigated. A marginal additive haz- ards model is proposed without specifying the association of the individuals within the same cluster. The relationship among the gap times for the same individual is also left unspecified. An estimating equation-based inference procedure is developed for the model parameters, and the asymptotic proper- ties of the resulting estimators are established. In addition, a lack-of-fit test is presented to assess the adequacy of the model. The finite sample behavior of the proposed estimators is evaluated through simulation studies, and an application to a clinic study on chronic granulomatous disease （CGD） is illustrated.

关键词： Additive hazards model cluster gap time model checking recurrent event

A class of weighted estimating equations for additive hazards models with covariates missing at random

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Science China Mathematics 2022年第3期65卷 583-602页

作者： Jin Jin Peng Ye liuquan sun Institute of Applied Mathematics Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China School of Mathematical Sciences University of Chinese Academy of SciencesBeijing 100049China School of Statistics University of International Business and EconomicsBeijing 100029China

Missing covariate data arise frequently in biomedical *** this article,we propose a class of weighted estimating equations for the additive hazards regression model when some of the covariates are missing at ***-specific and subject-specific weights are incorporated into the formulation of weighted estimating *** results are established for estimating selection probabilities that cover both parametric and non-parametric modelling *** resulting estimators have closed forms and are shown to be consistent and asymptotically *** studies indicate that the proposed estimators perform well for practical *** application to a mouse leukemia study is illustrated.

关键词： additive hazards model censored data kernel smoothing missing at random weighted estimating equation

Time-varying latent model for longitudinal data with informative observation and terminal event times

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Science China Mathematics 2016年第12期59卷 2393-2410页

作者： PEI YanBo DU Ting sun liuquan School of Statistics Capital University of Economics and BusinessBeijing 100070China Academy of Mathematics and Systems Science Chinese Academy of SciencesBeijing 100190China

Longitudinal data often occur in follow-up studies, and in many situations, there may exist informative observation times and a dependent terminal event such as death that stops the follow-up. We propose a semiparametric mixed effect model with time-varying latent effects in the analysis of longitudinal data with informative observation times and a dependent terminal event. Estimating equation approaches are developed for parameter estimation, and asymptotic properties of the resulting estimators are established. The finite sample behavior of the proposed estimators is evaluated through simulation studies, and an application to a bladder cancer study is provided.

关键词： estimating equations informative observation times joint modeling longitudinal data terminal event time-varying effect

A general additive-multiplicative rates model for recurrent event data

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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

An additive-multiplicative rates model for multivariate recurrent events with event categories missing at random

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Science China Mathematics 2015年第6期58卷 1163-1178页

作者： YE Peng sun liuquan ZHAO XingQiu XU Wei Institute of Applied Mathematics Academy of Mathematics and Systems ScienceChinese Academy of Sciences Department of Applied Mathematics The Hong Kong Polytechnic University Shenzhen Research Institute The Hong Kong Polytechnic University Dalla Lana School of Public Health University of Toronto

Multivariate recurrent event data arises when study subjects may experience more than one type of recurrent events. In some situations, however, although event times are always observed, event categories may be partially missing. In this paper, an additive-multiplicative rates model is proposed for the analysis of multivariate recurrent event data when event categories are missing at random. A weighted estimating equations approach is developed for parameter estimation, and the resulting estimators are shown to be consistent and asymptotically normal. In addition, a model-checking technique is presented to assess the adequacy of the model. Simulation studies are conducted to evaluate the finite sample behavior of the proposed estimators, and an application to a platelet transfusion reaction study is provided.

关键词： additive-multiplicative rates model missing data multivariate recurrent events semiparametricmodel weighted estimating equation

Strong Limit Theorems for Oscillation Moduli of PL-Process and Cumulative Hazard Process under Truncation and Censorship with Applications

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Acta Mathematica Sinica,English Series 1999年第2期15卷 235-244页

作者： liuquan sun Yong Zhou, Institute of Applied Mathematics, Academia Sinica, Beijing 100080, P. R. China Institute of Applied Mathematics Academia Sinica Beijing P. R. China

In this paper we obtain exact rates of uniform convergence for oscillation moduli and Lipschitz-1/2 moduli of PL-process and cumulative hazard process when the data are subject to left truncation and right censorship. Based on these results, the exact rates of uniform convergence for various types of density and hazard function estimators are derived.

关键词： Truncation and censorship Oscillation modulus PL-process Cumulative hazard process Kernel estimator

THE RATE OF UNIFORM CONVERGENCE OF THE SURVIVAL FUNCTION ESTIMATOR FOR TRUNCATED AND CENSORED DATA

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Journal of Systems Science & Complexity 2001年第1期14卷 93-105页

作者： sun liuquan (Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China) 中科院应用数学所北京 100080

For left truncated and right censored data, based on a strong representation of the product-limit estimator of the survival function, we derive the sufficient and necessary condition for the rate of strong uniform con... 详细信息

关键词： Truncated and censored data product-limit estimator strong representation rate of uniform convergence.

LOCAL ASYMPTOTIC PROPERTIES OF HAZARD RATE ESTIMATORS FOR TRUNCATED AND CENSORED DATA

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Journal of Systems Science & Complexity 2001年第4期14卷 413-424页

作者： sun liuquan, WU Guofu, WEI Xianhua (Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China) 中科院应用数学所北京 100080

Functional laws of the iterated logarithm are obtained for cumulative hazard processes in the neighborhood of a fixed point when the data are subject to left truncation and right censorship. On the basis of these results the exact rates of pointwise almost sure convergence for various types of kernel hazard rate estimators are derived.

关键词： Truncated and censored data hazard rate kernel estimation nearest neighbor estimation law of the iterated logarithm.

STRONG REPRESENTATIONS OF THE SURVIVAL FUNCTION ESTIMATOR ON INCREASING SETS FOR TRUNCATED AND CENSORED DATA

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Acta Mathematica Scientia 1999年第3期19卷 251-260页

作者：孙六全郑忠国 Chinese Acad Sci Inst Appl Math Beijing 100080 Peoples R China Peking Univ Dept Stat & Probabil Beijing 100871 Peoples R China

In this paper, based on random left truncated and right censored data, the authors derive strong representations of the cumulative hazard function estimator and the product-limit estimator of the survival function. which are valid up to a given order statistic of the observations. A precise bound for the errors is obtained which only depends on the index of the last order statistic to be included.

关键词： truncated and censored data cumulative hazard function product-limit estimator strong representations