Rényi entropy of m-generalized order statistics

Abstract

Characterizing relations via Rényi entropy of m-generalized order statistics are considered along with examples and related stochastic orderings. Previous results for common order statistics are included.     

Scientific consensus,the law,and same sex parenting outcomes

While the US Supreme Court was considering two related cases involving the constitutionality of same-sex marriage, one major question informing that decision was whether scientific research had achieved consensus regarding how children of same-sex couples fare. Determining the extent of consensus has become a key aspect of how social science evidence and testimony is accepted by the courts. Here, we show how a method of analyzing temporal patterns in citation networks can be used to assess the state of social scientific literature as a means to inform just such a question. Patterns of clustering within these citation networks reveal whether and when consensus arises within a scientific field. We find that the literature on outcomes for children of same-sex parents is marked by scientific consensus that they experience “no differences” compared to children from other parental configurations.     

Interval estimation for conformance proportions of multiple quality characteristics

A conformance proportion is an important and useful index to assess industrial quality improvement. Statistical confidence limits for a conformance proportion are usually required not only to perform statistical significance tests, but also to provide useful information for determining practical significance. In this article, we propose approaches for constructing statistical confidence limits for a conformance proportion of multiple quality characteristics. Under the assumption that the variables of interest are distributed with a multivariate normal distribution, we develop an approach based on the concept of a fiducial generalized pivotal quantity (FGPQ). Without any distribution assumption on the variables, we apply some confidence interval construction methods for the conformance proportion by treating it as the probability of a success in a binomial distribution. The performance of the proposed methods is evaluated through detailed simulation studies. The results reveal that the simulated coverage probability (cp) for the FGPQ-based method is generally larger than the claimed value. On the other hand, one of the binomial distribution-based methods, that is, the standard method suggested in classical textbooks, appears to have smaller simulated cps than the nominal level. Two alternatives to the standard method are found to maintain their simulated cps sufficiently close to the claimed level, and hence their performances are judged to be satisfactory. In addition, three examples are given to illustrate the application of the proposed methods.     

Modeling spatial overdispersion via the generalized Waring point process

Modeling spatial overdispersion requires point process models with finite‐dimensional distributions that are overdisperse relative to the Poisson distribution. Fitting such models usually heavily relies on the properties of stationarity, ergodicity, and orderliness. In addition, although processes based on negative binomial finite‐dimensional distributions have been widely considered, they typically fail to simultaneously satisfy the three required properties for fitting. Indeed, it has been conjectured by Diggle and Milne that no negative binomial model can satisfy all three properties. In light of this, we change perspective and construct a new process based on a different overdisperse count model, namely, the generalized Waring (GW) distribution. While comparably tractable and flexible to negative binomial processes, the GW process is shown to possess all required properties and additionally span the negative binomial and Poisson processes as limiting cases. In this sense, the GW process provides an approximate resolution to the conundrum highlighted by Diggle and Milne.     

章公祖师佛像跨国追索诉讼国际私法问题研究

从章公祖师佛像跨国追索诉讼主体资格问题切入,分析佛像的法律性质,探讨涉案物权准据法的确定及适用问题。该案原告应由阳春村全体村民担任。涉案佛像属于文物,建议村民在荷兰法院提起原物返还之诉。受案法院应当适用物权冲突法确定准据法,即可能适用中国内地、中国香港或荷兰法律。被告在购买时应当对涉案佛像来源产生合理怀疑,因此不构成“善意”;原告应尽可能搜集证据证明《荷兰民法典》规定的20年消灭时效因起诉而中断。依据《香港货品售卖条例》和中国内地物权法理论与实践,被告均不能取得系争佛像的所有权。     

China’s Choice of Analytical Models for Its Anti-Monopoly Law

Modern analytical models for anti-monopoly laws are a core element of the application of those laws. Since the Anti-Monopoly Law of the People’s Republic of China was promulgated in 2008, law enforcement and judicial authorities have applied different analytical models, leading to divergent legal and regulatory outcomes as similar cases receive different verdicts. To select a suitable analytical model for China’s Anti-Monopoly Law, we need to consider the possible contribution of both economic analysis and legal formalism and to learn from the mature systems and experience of foreign countries. It is also necessary to take into account such binding constraints as the current composition of China’s anti-monopoly legal system, the ability of implementing agencies and the supply of economic analysis, in order to ensure complementarity between the analytical model chosen and the complexity of economic analysis and between the professionalism of implementing agencies and the cost of compliance for participants in economic activities. In terms of institutional design, the models should provide a considered explanation of the legislative aims of the law’s provisions. It is necessary, therefore, to establish a processing model of behavioral classification that is based on China’s national conditions, applies analytical models using normative comprehensive analysis, makes use of the distribution rule of burden of proof, improves supporting systems related to analytical models and enhances the ability of public authorities to implement the law.     

为合法经营活动而侵犯公民个人信息的刑法规制

最高人民法院、最高人民检察院《关于办理侵犯公民个人信息刑事案件适用法律若干问题的解释》第六条对为合法经营活动而侵犯公民个人信息行为进行独立规制,是新型犯罪罪状表述抽象化与罪状解释具体化、信息时代信息价值多元化与危害行为多样化、现代社会犯罪治理精细化与刑法评价精准化的内在要求.为合法经营活动而侵犯公民个人信息行为相关规范要素中的“为合法经营活动”应理解为主观超过要素,“获利五万元”应作严格解释,“曾因侵犯公民个人信息”应作广义解释,“其他情节严重”应包括信息数量标准.     

Inference and optimal design of multiple constant-stress testing for generalized half-normal distribution under type-II progressive censoring

The generalized half-normal (GHN) distribution and progressive type-II censoring are considered in this article for studying some statistical inferences of constant-stress accelerated life testing. The EM algorithm is considered to calculate the maximum likelihood estimates. Fisher information matrix is formed depending on the missing information law and it is utilized for structuring the asymptomatic confidence intervals. Further, interval estimation is discussed through bootstrap intervals. The Tierney and Kadane method, importance sampling procedure and Metropolis-Hastings algorithm are utilized to compute Bayesian estimates. Furthermore, predictive estimates for censored data and the related prediction intervals are obtained. We consider three optimality criteria to find out the optimal stress level. A real data set is used to illustrate the importance of GHN distribution as an alternative lifetime model for well-known distributions. Finally, a simulation study is provided with discussion.     

Enterprising? Disabled? The status and potential for disabled people’s microenterprise in South Korea

This article explores the position, potential and scope for self-employment and microenterprise for disabled South Koreans. The chronic barriers experienced in disabled people gaining paid work suggest that self-employment and enterprise might offer a good alternative to paid work. The self-determined nature of running a microenterprise has been shown to connect with disabled people who may not conform to standardised notions of body and brain that underpin many mainstream work contexts. Despite this promise, several barriers continue to beset disabled people’s access to micro-enterprise activity; barriers ranging from Confucian precepts, to employment protections that are geared largely towards paid employment and to the lack of training, finance and business support for disabled people starting up and sustaining microenterprise in Korea. The extension of legal protections, meaningful start-up subsidies, better business support and bridges between paid work and microenterprise are all seen as important policy correctives that would better support disabled people.     

君主专制与政治抵制:早期现代英国法律语境中的《复仇者悲剧》

英国自都铎王朝后期至斯图亚特早期，立宪君主论或混合君主论者抵制君权神授论，坚持家庭是一个自治的、涉及臣民私人权益的小政府，受到自然法、古代宪法或神圣法的保护。《复仇者悲剧》中公爵王室言行映射詹姆士一世在《皇家礼物》中所宣扬的君权神授论，温迪斯兄弟俩及追随者的复仇隐含当时的政治抵制学说，公爵王室与温迪斯兄弟俩的对立象征君权神授论与普通法理论的对峙。温迪斯兄弟俩却以威胁新君为由被处死，司法斗争简约为复仇冲动，维权英雄陡变为暴徒，暴君化身为明君，这暴露出君权神授论的悖论性和剧作家含混的复仇伦理。