A strong law of large number for negatively dependent and non identical distributed random variables in the framework of sublinear expectation

Abstract

In this article, in the framework of sublinear expectation initiated by Peng, we derive a strong law of large numbers (SLLN) for negatively dependent and non identical distributed random variables. This result includes and extends some existing results. Furthermore, we give two examples of our result for applications.     

Empirical Analysis of Interval-Censored Failure Time Data with Linear Transformation Models

Interval-censored data naturally arise in many studies. For their regression analysis, many approaches have been proposed under various models and for most of them, the inference is carried out based on the asymptotic normality. In particular, Zhang et al. (2005) discussed the procedure under the linear transformation model. It is well-known that the symmetric property implied by the normal distribution may not be appropriate sometimes. Also the method could underestimate the variance of estimated parameters. This paper proposes an empirical likelihood-based procedure for the problem. Simulation and the analysis of a real data set are conducted to assess the performance of the procedure.     

A Multiple Imputation Approach to the Analysis of Current Status Data with the Additive Hazards Model

This article discusses regression analysis of current status data, which occur in many fields including cross-sectional studies, demographical investigations, and tumorigenicity experiments (Keiding, 1991 Keiding , N. ( 1991 ). Age-specific incidence and prevalence: a statistical perspective (with discussion) . J. Roy. Statist. Soc. Ser. A 154 : 371 – 412 .[Crossref] , [Google Scholar]; Sun 2006 Sun , J. ( 2006 ). The Statistical Analysis of Interval-Censored Failure Time Data . New York : Springer-Verlag . [Google Scholar]). For the problem, we focus on the situation where the survival time of interest can be described by the additive hazards model and a multiple imputation approach is presented for inference. A major advantage of the approach is its simplicity and it can be easily implemented by using the existing software packages for right-censored failure time data. Extensive simulation studies are conducted and indicate that the approach performs well for practical situations and is comparable to the existing methods. The methodology is applied to a set of current status data arising from a tumorigenicity experiment and the model checking is discussed.     

Nonparametric Tests for Stratum Effects in the Cox Model

Thispaper considers the stratified proportional hazards model witha focus on the assessment of stratum effects. The assessmentof such effects is often of interest, for example, in clinicaltrials. In this case, two relevant tests are the test of stratuminteraction with covariates and the test of stratum interactionwith baseline hazard functions. For the test of stratum interactionwith covariates, one can use the partial likelihood method (Kalbfleischand Prentice, 1980; Lin, 1994). For the test of stratum interactionwith baseline hazard functions, however, there seems to be noformal test available. We consider this problem and propose aclass of nonparametric tests. The asymptotic distributions ofthe tests are derived using the martingale theory. The proposedtests can also be used for survival comparisons which need tobe adjusted for covariate effects. The method is illustratedwith data from a lung cancer clinical trial.     

Designing and integrating composite networks for monitoring multivariate gaussian pollution fields

Networks of ambient monitoring stations are used to monitor environmental pollution fields such as those for acid rain and air pollution. Such stations provide regular measurements of pollutant concentrations. The networks are established for a variety of purposes at various times so often several stations measuring different subsets of pollutant concentrations can be found in compact geographical regions. The problem of statistically combining these disparate information sources into a single 'network' then arises. Capitalizing on the efficiencies so achieved can then lead to the secondary problem of extending this network. The subject of this paper is a set of 31 air pollution monitoring stations in southern Ontario. Each of these regularly measures a particular subset of ionic sulphate, sulphite, nitrite and ozone. However, this subset varies from station to station. For example only two stations measure all four. Some measure just one. We describe a Bayesian framework for integrating the measurements of these stations to yield a spatial predictive distribution for unmonitored sites and unmeasured concentrations at existing stations. Furthermore we show how this network can be extended by using an entropy maximization criterion. The methods assume that the multivariate response field being measured has a joint Gaussian distribution conditional on its mean and covariance function. A conjugate prior is used for these parameters, some of its hyperparameters being fitted empirically.     

保持党的旺盛生命力的关键在于坚持党的宗旨

中国共产党的宗旨———“全心全意为人民服务” ,是毛泽东根据马克思主义的基本原理 ,继承中华民族优秀传统文化 ,批判唯心史观 ,在革命实践中提出来的。邓小平、江泽民坚持和发展了毛泽东关于“全心全意为人民服务”党的宗旨思想。新形势下党本身确实存在一个如何使其始终保持旺盛的生命力的重大课题。江泽民关于“三个代表”的思想 ,为解决保持党的旺盛生命力指明了方向。要解决党在坚持宗旨方面存在的诸多问题 ,最根本的措施是要使广大党员特别是党员领导干部树立正确的世界观、人生观和价值观。最有力的措施是各级领导率先垂范 ,给下级做出样子     

我国地方食品安全监管体系研究——以江苏省为例

食品安全一直是每个国民心中的中国梦。随着政府机构改革对食品安全问题的日益重视,新的监管体系正在形成。而地方政府作为国家食品安全监管的具体执行者,其所处的地位、所承担的责任、所拥有的权限决定了它是整个监管工作的关键。本文通过对江苏省食品安全监管体系的研究,尝试提出解决食品安全监管问题的建议。     

《政治经济学批判大纲》的哲学性质

在马克思主义哲学的创立过程中,恩格斯的《政治经济学批判大纲》具有特殊的地位和作用。就其哲学的性质,中外哲学界存在着许多不同的看法,这些不同的看法,直接影响着人们对马克思主义哲学的实质的理解。我们认为,恩格斯在《政治经济学批判大纲》中所表现出的哲学立场,一方面表明他完成了从唯心主义向唯物主义的根本转变,另一方面也表明,恩格斯此时的哲学世界观还停留在"费尔巴哈派"的阶段。     

灵活就业流动人口养老保险服务研究——基于社会融合视角

户籍制度引致的城乡二元结构让灵活就业流动人口难以真正融入城市公共服务体系,也给养老保险扩面工作带来困难。区别于既有研究侧重于流动人口养老保险政策和制度的调整,并基于经济融合、心理融合、社会接纳三个社会融合的维度,我们对浙江、四川进行了专项调研,分析了灵活就业流动人口参加社会养老保险意愿不高的原因,发现缴费能力低、城市归属感不强、就业地政策排斥是制约该群体在城市长期居留和养老参保的主要因素。为此,政府应着力提升该人群的个体人力资本,搭建社区交流平台,拓宽其社会融合的意见表达渠道,进而推动养老保险扩面服务。