A Necessary Condition for the Strong Oracle Property

A problem of using a non‐convex penalty for sparse regression is that there are multiple local minima of the penalized sum of squared residuals, and it is not known which one is a good estimator. The aim of this paper is to give a guide to design a non‐convex penalty that has the strong oracle property. Here, the strong oracle property means that the oracle estimator is the unique local minimum of the objective function. We summarize three definitions of the oracle property – the global, weak and strong oracle properties. Then, we give sufficient conditions for the weak oracle property, which means that the oracle estimator becomes a local minimum. We give an example of non‐convex penalties that possess the weak oracle property but not the strong oracle property. Finally, we give a necessary condition for the strong oracle property.     

An Automatic Test for the Umbrella Alternatives

The paper proposes a new test for detecting the umbrella pattern under a general non‐parametric scheme. The alternative asserts that the umbrella ordering holds while the hypothesis is its complement. The main focus is put on controlling the power function of the test outside the alternative. As a result, the asymptotic error of the first kind of the constructed solution is smaller than or equal to the fixed significance level α on the whole set where the umbrella ordering does not hold. Also, under finite sample sizes, this error is controlled to a satisfactory extent. A simulation study shows, among other things, that the new test improves upon the solution widely recommended in the literature of the subject. A routine, written in R, is attached as the Supporting Information file.     

Functional Partial Linear Single‐index Model

This paper deals with the problem of predicting the real‐valued response variable using explanatory variables containing both multivariate random variable and random curve. The proposed functional partial linear single‐index model treats the multivariate random variable as linear part and the random curve as functional single‐index part, respectively. To estimate the non‐parametric link function, the functional single‐index and the parameters in the linear part, a two‐stage estimation procedure is proposed. Compared with existing semi‐parametric methods, the proposed approach requires no initial estimation and iteration. Asymptotical properties are established for both the parameters in the linear part and the functional single‐index. The convergence rate for the non‐parametric link function is also given. In addition, asymptotical normality of the error variance is obtained that facilitates the construction of confidence region and hypothesis testing for the unknown parameter. Numerical experiments including simulation studies and a real‐data analysis are conducted to evaluate the empirical performance of the proposed method.     

大型科研项目的风险管理流程与风险决策

针对大型科研项目风险管理的特点,设计了其风险管理流程;根据风险决策原理,结合实例探讨了灰局势决策法在大型科研项目中的应用,所获得的决策结果是进行风险处理的基础和重要依据,对风险管理实践有一定的指导意义。     

Connecting the gendered door: women, violence and doorwork

This paper explores the emerging role of women who work as 'bouncers', or doorstaff, in the night-time economy and examines how the cultural capital of the female bouncer is connected to the methods utilized to control licensed premises. It is drawn from a study that combined ethnographic observations and interviews in five major UK cities which explored a diverse range of issues such as gendered bodies, femininities and violence; the changing needs of the night-time economy in the UK and the experiences of women engaged in 'non-traditional' occupations. In this paper, we draw on interview data with one particular category of female door staff; women who share similar histories of exposure to violence and violent cultures, and we examine how their experiential knowledge of violence equips them with the resources to 'work the doors'. Our attention focuses on this group of women, who we refer to as 'The Connected', and examine how they are 'doing gender' when they negotiate violence 'on the door'     

Analysing non-doctrinal socialization: re-assessing the role of cognition to account for social cohesion in the Religious Society of Friends

To incorporate newcomers into membership, a group employs socialization strategies to transform the characteristics of the newcomers, so that it can admit them with the confidence that their behaviour will not endanger group unity. Analyses of socialization emphasize that novices' interiorization of an institutional definition of group behaviour is a necessary condition to ensure successful socialization. The contemporary Religious Society of Friends in Britain, however, is a non-doctrinal religious movement that avoids defining the content of its beliefs and practices. To analyse the socializing interaction between members and newcomers in this movement in Britain, and among co-religionists in the USA, this inquiry applies a model of socialization that does not include assumptions about the role played by cognition in socialization (Long and Hadden 1983). My results show that: (a) the diffuseness in Friends' collective explanations of institutional conduct supports novices' identification with institutional practice, and (b) experimental and affective components in socialization motivate novices to imitate institutional behaviour despite the fact that Friends have no authoritative explanations of such behaviour. The data suggest that socialization and social cohesion are not necessarily as strongly cognitive-oriented phenomena as they were previously thought to be. This finding has important implications for thinking about social cohesion in postmodern society.     

沉默权制度应予确立

沉默权是无罪推定的核心内容,是保障犯罪嫌疑人、被告人的正当权利,实现司法公正的重要体现。根据沉默权的起源、发展的历程,借鉴国际社会采用沉默权制度的经验,分析法学界对沉默权的不同观点和态度,结合我国的国情和司法实践,所得结论是应当在我国确立沉默权制度,以推进我国的法治建设,体现人权保障和人文关怀。同时,对沉默权制度不可照抄照搬,盲目采用,而应充分考虑我国的国情和司法实践,创立有中国特色的沉默权制度,从而构建社会主义和谐社会。     

Correlation in a Bayesian framework

The authors consider the correlation between two arbitrary functions of the data and a parameter when the parameter is regarded as a random variable with given prior distribution. They show how to compute such a correlation and use closed form expressions to assess the dependence between parameters and various classical or robust estimators thereof, as well as between p‐values and posterior probabilities of the null hypothesis in the one‐sided testing problem. Other applications involve the Dirichlet process and stationary Gaussian processes. Using this approach, the authors also derive a general nonparametric upper bound on Bayes risks.     

Differential equation models for statistical functions

Differential equations have been used in statistics to define functions such as probability densities. But the idea of using differential equation formulations of stochastic models has a much wider scope. The author gives several examples, including simultaneous estimation of a regression model and residual density, monotone smoothing, specification of a link function, differential equation models of data, and smoothing over complicated multidimensional domains. This paper aims to stimulate interest in this approach to functional estimation problems, rather than provide carefully worked out methods.