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| 1 | A general additive-multiplicative rates model for recurrent event data显示文摘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. | DAI JiaJia SUN LiuQuan YANG ZhenHai | 2009 | Science China Mathematics2009，52，10： | 5 |
| 2 | A class of additive-accelerated means regression models for recurrent event data显示文摘In this article, we propose a class of additive-accelerated means regression models for analyzing recurrent event data. The class includes the proportional means model, the additive rates model, the accelerated failure time model, the accelerated rates model and the additive-accelerated rate model as special cases. The new model offers great flexibility in formulating the effects of covariates on the mean functions of counting processes while leaving the stochastic structure completely unspecified. For the inference on the model parameters, estimating equation approaches are derived and asymptotic properties of the proposed estimators are established. In addition, a technique is provided for model checking. The finite-sample behavior of the proposed methods is examined through Monte Carlo simulation studies, and an application to a bladder cancer study is illustrated. | LIU Li 1, MU XiaoYun 2 & SUN LiuQuan 2 1 School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China 2 Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China | 2010 | Science China Mathematics2010，53，12： | 3 |
| 3 | An Additive Hazards Model for Clustered Recurrent Gap Times显示文摘 | KANG Fangyuan SUN Liuquan CHENG Ximing | 2018 | Journal of Systems Science & Complexity2018，31，5： | 2 |
| 4 | THE ASYMPTOTICS OF THE INTEGRATEDSQUARE ERROR FOR THE KERNEL HAZARD RATEESTIMATORS WITH LEFT TRENCATED ANDRIGHT CENSORED DATA显示文摘A central limit theorem for the integrated square error (ISE) of the kernelhazard rate estimators is obtained based on left truncated and right censored data. Anasymptotic representation of the mean integrated square error (MISE) for the kernel hazardrate estimators is also presented. | SUN Liuquan(Institute of Applied Mathematics, Academia Sinica, Beijing 100080, China)ZHENG Zhongguo(Department of Probability and Statistics, Peking University, Beijing 100871, China) | 1999 | Systems Science and Mathematical Sciences1999，12，3： | 1 |
| 5 | A multi-objective power flow optimization control strategy for a power split plug-in hybrid electric vehicle using game theory显示文摘Power flow optimization control,which governs the energy flow among engine,battery,and motor,plays a very important role in plug-in hybrid electric vehicles(PHEVs).Its performance directly affects the fuel economy of PHEVs.For the purpose of improving fuel economy,the electric system including battery and motor will be frequently scheduled,which would affect battery life.Therefore,a multi-objective optimization mechanism taking fuel economy and battery life into account is necessary,which is also a research focus in field of hybrid vehicles.Motivated by this issue,this paper proposes a multi-objective power flow optimization control strategy for a power split PHEV using game theory.Firstly,since the demand power of driver which is necessary for the power flow optimization control,cannot be known in advance,the demand power of driver can be modelled using a Markov chain to obtain predicted demand power.Secondly,based on the predicted demand power,the multi-objective optimization control problem is transformed into a game problem.A novel non-cooperative game model between engine and battery is established,and the benefit function with fuel economy and battery life as the optimization objective is proposed.Thirdly,under the premise of satisfying various constraints,the participants of the above game maximize their own benefit function to obtain the Nash equilibrium,which comprises of optimal power split scheme.Finally,the proposed strategy is verified compared with two baseline strategies,and results show that the proposed strategy can reduce equivalent fuel consumption by about 15%compared with baseline strategy 1,and achieve similar fuel economy while greatly extend battery life simultaneously compared with baseline strategy 2. | WANG WeiDa WANG WeiQi YANG Chao LIU Cheng YANG LiuQuan SUN XiaoXia XIANG ChangLe | 2021 | Science China(Technological Sciences)2021，64，12： | 1 |
| 6 | An additive-multiplicative rates model for multivariate recurrent events with event categories missing at random显示文摘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. | YE Peng SUN LiuQuan ZHAO XingQiu XU Wei | 2015 | Science China Mathematics2015，58，6： | 1 |
| 7 | Nonpara- metric estimation of current status data with dependent censoring显示文摘 | WANG Chunjie SUN Jianguo SUN Liuquan | 2012 | Lifetime Data Analysis2012，18，4： | 1 |
| 8 | THE RATE OF UNIFORM CONVERGENCE OF THE SURVIVAL FUNCTION ESTIMATOR FOR TRUNCATED AND CENSORED DATA显示文摘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 convergence of the product-limit estimator over the whole line. | SUN Liuquan (Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China) | 2001 | Journal of Systems Science & Complexity2001，14，1： | 1 |
| 9 | A class of accelerated means regression models for recurrent event data显示文摘 | Liuquan Sun Bin Su | 2008 | Lifetime Data Analysis2008，，3： | 1 |
| 10 | Estimating Cumulative Treatment Effect Under an Additive Hazards Model显示文摘In clinical and epidemiologic studies of time to event,the treatment effect is often of direct interest,and the treatment effect is not constant over time.In this paper,the authors propose an estimator for the cumulative hazard difference under a stratified additive hazards model.The asymptotic properties of the resulting estimator are established,and the finite-sample properties are examined through simulation studies.An application to a liver cirrhosis data set from the Copenhagen Study Group for Liver Diseases is provided. | LU Xiaoliang ZHANG Baoxue SUN Liuquan | 2021 | Journal of Systems Science & Complexity2021，34，2： | 0 |
| 11 | LOCAL ASYMPTOTIC PROPERTIES OF HAZARD RATE ESTIMATORS FOR TRUNCATED AND CENSORED DATA显示文摘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. | SUN Liuquan, WU Guofu, WEI Xianhua (Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China) | 2001 | Journal of Systems Science & Complexity2001，14，4： | 0 |
| 12 | Time-varying latent model for longitudinal data with informative observation and terminal event times显示文摘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. | PEI YanBo DU Ting SUN LiuQuan | 2016 | Science China Mathematics2016，59，12： | 0 |
| 13 | A novel predictive braking energy recovery strategy for electric vehicles considering motor thermal protection显示文摘Braking energy recovery(BER)aims to recover the vehicle's kinetic energy by coordinating the motor and mechanical braking torque to extend the driving range of the electric vehicle(EV).To achieve this goal,the motor/generator mode requires frequent switching and prolonged operation during driving.In this case,the motor temperature will unavoidably rise,potentially triggering motor thermal protection(MTP).Activating MTP increases the risk of motor component failure,and the EV typically disables the BER function.Thus,maximizing BER while reducing the risk of motor overheating is a challenging problem.To address this issue,this article proposes a predictive BER strategy with MTP using the non-smooth Pontryagin Minimum Principle(NSPMP)for EVs.Firstly,a Markov long short-term memory(MLSTM)model is designed to obtain future velocity information.Secondly,the BER problem with MTP in the studied EV is embedded in a model predictive control(MPC)framework.Then,under the MPC framework,the NSPMP strategy is proposed to resolve the problem of MTP.Finally,the performance of the proposed strategy is verified through simulation and a hardware-in-loop test.The results show that in two real-world driving cycles,compared to the rule-based strategy,the proposed strategy reduced power consumption by 1.24%and0.96%,respectively,and effectively limited motor temperature.Additionally,under global cycle conditions,this strategy demonstrated better MTP control performance compared to other benchmark strategies. | YANG Chao SUN TongLin YANG LiuQuan ZHANG YuHang WANG WeiDa | 2024 | Science China(Technological Sciences)2024，67，4： | 0 |
| 14 | A class of weighted estimating equations for additive hazards models with covariates missing at random显示文摘Missing covariate data arise frequently in biomedical studies.In this article,we propose a class of weighted estimating equations for the additive hazards regression model when some of the covariates are missing at random.Time-specific and subject-specific weights are incorporated into the formulation of weighted estimating equations.Unified results are established for estimating selection probabilities that cover both parametric and non-parametric modelling schemes.The resulting estimators have closed forms and are shown to be consistent and asymptotically normal.Simulation studies indicate that the proposed estimators perform well for practical settings.An application to a mouse leukemia study is illustrated. | Jin Jin Peng Ye Liuquan Sun | 2022 | Science China Mathematics2022，65，3： | 0 |
| 15 | Strong Limit Theorems for Oscillation Moduli of PL-Process and Cumulative Hazard Process under Truncation and Censorship with Applications | Liuquan Sun Yong Zhou, Institute of Applied Mathematics, Academia Sinica, Beijing 100080, P. R. China | 1999 | Acta Mathematica Sinica,English Series1999，15，2： | 0 |
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