A Comparison of Survival Function Estimators in the Koziol–Green Model

In this paper, three competing survival function estimators are compared under the assumptions of the so-called Koziol– Green model, which is a simple model of informative random censoring. It is shown that the model specific estimators of Ebrahimi and Abdushukurov, Cheng, and Lin are asymptotically equivalent. Further, exact expressions for the (noncentral) moments of these estimators are given, and their biases are analytically compared with the bias of the familiar Kaplan–Meier estimator. Finally, MSE comparisons of the three estimators are given for some selected rates of censoring.     

Modified minimax estimation of regression coefficients

Working with the linear regression model (1.1) and having the extraneous information (1.2) about regression coefficients the problem exists how to build estimators (1.3) with the risk (1.4) which enable to utilize the known information in order to reduce their risk as compared with the risk (1.6) of the LSE (1.5). Solution of this problem is known for the positive definite matrix T, namely in form for estimators (1.8) and (1.10).First, it is shown that the proposed estimators (2.6),(2.9) and (2.16) based on psedoinversions of the matrix L represent the solution of the problem of the positive semidefinite matrix T=L'L.Further, the problem of interpretability of estimators in the sense of the inequality (3.1) exists; it is shown that all mentioned estimators are at least partially interpretable in the sense of requirements (3.2) or (3.10).     

论3G时代高校图书馆的发展

3G时代图书馆工作面临新的考验。为了应对这一革命性的冲击，高校图书馆要做好数字化的核心准备工作，逐步建立并完善例如“手机图书馆”的建设。一方面可以提高数字化图书的普及与使用率，另一方面也可以在演进的过程中确实保护高校的既得利益。     

Estimation with right‐censored observations under a semi‐Markov model

The semi‐Markov process often provides a better framework than the classical Markov process for the analysis of events with multiple states. The purpose of this paper is twofold. First, we show that in the presence of right censoring, when the right end‐point of the support of the censoring time is strictly less than the right end‐point of the support of the semi‐Markov kernel, the transition probability of the semi‐Markov process is nonidentifiable, and the estimators proposed in the literature are inconsistent in general. We derive the set of all attainable values for the transition probability based on the censored data, and we propose a nonparametric inference procedure for the transition probability using this set. Second, the conventional approach to constructing confidence bands is not applicable for the semi‐Markov kernel and the sojourn time distribution. We propose new perturbation resampling methods to construct these confidence bands. Different weights and transformations are explored in the construction. We use simulation to examine our proposals and illustrate them with hospitalization data from a recent cancer survivor study. The Canadian Journal of Statistics 41: 237–256; 2013 © 2013 Statistical Society of Canada     

Hugh George Brennan: Glasgow University’s First Lecturer in Russian

To date little has been known, and less written, about the life of Hugh George Brennan, Glasgow University's first lecturer in Russian. The uncovering of previously unused Russian and British sources throwing fresh light on his life, intellectual development and occupations has made possible a fuller assessment of a significant figure in Glasgow's contribution to Slavonic Studies. Brennan lived and taught in Russia for 20 years. The resulting intense and unusually intimate experience of Russian life probably explains unconventional aspects of his Glasgow appointment. Brennan was an undoubted educational and social success in Russia. Events in the shape of the February Revolution of 1917 forced him to return to Britain. Glasgow's timely offer of a new position was the start of a very different life. This aspect of Brennan's career is reviewed mainly through his commitment to extensive public activities.     

Consumer bankruptcy and default: The role of individual social capital

In this paper, we empirically assess the role of individual social capital on personal bankruptcy and default outcomes in the consumer credit market. After controlling for a borrower’s risk score, debt, income, wealth, and legal and economic environments, we find that default/bankruptcy risk rises and then falls over the lifecycle, while a borrower who owns a home or is married has a lower risk of default/bankruptcy. Moreover, a borrower who migrates 190 miles from his “state of birth” is 17% more likely to default and 15% more likely to file for bankruptcy, while a borrower who continues to live in his state of birth is 14% and 10% less likely to default and file for bankruptcy, respectively. A borrower who moves to a rural area is 9% and 7% less likely to default and declare bankruptcy, respectively. We also find that measures of social networks, norms, and cooperation and trust (i.e., aggregate social capital) are inversely related to consumer bankruptcy.     

Parameter estimation of state space models for univariate observations

This paper contributes to the problem of estimation of state space model parameters by proposing estimators for the mean, the autoregressive parameters and the noise variances which, contrarily to maximum likelihood, may be calculated without assuming any specific distribution for the errors. The estimators suggested widen the scope of the application of the generalized method of moments to some heteroscedastic models, as in the case of state-space models with varying coefficients, and give sufficient conditions for their consistency. The paper includes a simulation study comparing the proposed estimators with maximum likelihood estimators. Finally, these methods are applied to the calibration of the meteorological radar and estimation of area rainfall.     

高校二级教代会权能建设的新突破——民主评议院系领导干部的实践与思考

高校二级教代会作为＂四项职权＂的基层权能主体,要保证＂评议监督权＂的有效落实,力求实现权利效能的最大化,必须全方位加强权能建设：突破顾虑心理,不折不扣地开展民主评议院系领导干部;突破简单思维,对评议内容作出具有＂画像＂功能的具体设计;突破习惯做法,科学设置评议程序,准确把控评议重点;突破低效运行,使＂评议结果＂成为考核、评价、录用干部的重要依据。     

基于市场营销课程的体验式教学方法的研究

体验式教学作为一种新的教学模式,对于中职学校市场营销课程教育具有积极的意义。在基于中职学校市场营销课程教学的实践基础上,分析了目前营销教学存在的问题、阐述了应开展体验式教学的理论依据和特征,论述了几种有效的体验式教学的应用方法,并指出实施体验式教学注意的问题。     

Methods for calculating stationary distribution in linear models of time series

The article deals with methods for computing the stationary marginal distribution in linear models of time series. Two approaches are described. First, an algorithm based on approximation of solution of the corresponding integral equation is briefly reviewed. Then, we study the limit behaviour of the partial sums c ₁ η₁+c ₂ η₂+···+c _n η _n where η _i are i.i.d. random variables and c _i real constants. We generalize procedure of Haiman (1998) [Haiman, G., 1998, Upper and lower bounds for the tail of the invariant distribution of some AR(1) processes. Asymptotic Methods in Probability and Statistics, 45, 723–730.] to an arbitrary causal linear process and relax the assumptions of his result significantly. This is achieved by investigating the properties of convolution of densities.