“青天”考释

结合古代诗词和文献语料并参考辞书，对“青天”之“青”的意义提出新的看法：“青天”之“青”不表示蓝颜色，而是描述天空呈现出的状态。反映了古代人对天的视觉和心理意象，包括：高远辽阔、神秘静穆的神性特质，也包括清明透彻的世俗观念。     

A surplus process involving a compound Poisson counting process and applications

Abstract

In this paper, we introduce a surplus process involving a compound Poisson counting process, which is a generalization of the classical ruin model where the claim-counting process is a homogeneous Poisson process. The incentive is to model batch arrival of claims using a counting process that is based on a compound distribution. This reduces the difficulty of modeling claim amounts and is consistent with industrial data. Recursive formula, some properties and relevant main ruin theory results are provided. Further, we consider applications involving zero-truncated negative binomial and zero-truncated binomial batch arrivals when the claim amounts follow exponential or Erlang distribution.     

词序像似性研究及实例分析

像似性是相对任意性而言的。语言像似性是指语言形式或结构与其所表达的概念之间存在对应关系,而词序像似性是指词的组织形式和人的认知结构之间有某种对应关系,主要受四个原则支配:顺序像似原则、距离像似原则、与说话人接近原则和文化规约像似原则。正确理解词序像似性的概念和原则,对目标语的学习有重要的指导意义。     

Optimal control strategies for dividend payments and capital injections in compound Markov binomial risk model with penalties for deficits

We consider the compound Markov binomial risk model. The company controls the amount of dividends paid to the shareholders as well as the capital injections in order to maximize the cumulative expected discounted dividends minus the discounted capital injections and the discounted penalties for deficits prior to ruin. We show that the optimal value function is the unique solution of an HJB equation, and the optimal control strategy is a two-barriers strategy given the current state of the Markov chain. We obtain some properties of the optimal strategy and the optimal condition for ruining the company. We offer a high-efficiency algorithm for obtaining the optimal strategy and the optimal value function. In addition, we also discuss the optimal control problem under a restriction of bounded dividend rates. Numerical results are provided to illustrate the algorithm and the impact of the penalties.     

论《齐民要术》新生复合词中的同义词

《齐民要术》是中古时期口语性较强的一部农业科技著作，书中使用了较多复合词，有的复合词意义相近或相关，彼此聚合成群，形成了不同的同义词词场。这些同义词词场中的复合词在构词上都有相同的特点：即构成复合词的两个语素单用时意义相近或相关，这样的复合词应是当时的语言社团根据已有的并列式构词法创造的新词。在汉语词汇的历时发展中，《齐民要术》中使用的同义复合词呈现出不同的发展结果：由曾经常用的单音词作语素构成的复合词或易于通过隐喻机制形成新义的复合词使用频率相对较高，生命力相对较强，在竞争中也相对较容易发展成汉语中的常用复合词；使用频率低或难以产生隐喻引申义的复合词很容易退出语言交际领域，从而成为汉语词汇历史发展中某阶段的陈迹。     

Cumulants of random sum distributions

Consider a random variable S being the sum of a number N of independent and identically distributed random variables X_j (j = 1, 2, ...) where the number N is itself a non-negative integer-valued random variable independent of the X_j An explicit expression of the r-th cumulant of S is given in terms of the cumulants of N and X_j, Asymptotic properties of the distribution of S are also discussed.     

A generalization of the compound rayleigh distribution: using a bayesian method on cancer survival times

In this paper the generalized compound Rayleigh model, exhibiting flexible hazard rate, is high¬lighted. This makes it attractive for modelling survival times of patients showing characteristics of a random hazard rate. The Bayes estimators are derived for the parameters of this model and some survival time parameters from a right censored sample. This is done with respect to conjugate and discrete priors on the parameters of this model, under the squared error loss function, Varian's asymmetric linear-exponential (linex) loss function and a weighted linex loss function. The future survival time of a patient is estimated under these loss functions. A Monte Carlo simu¬lation procedure is used where closed form expressions of the estimators cannot be obtained. An example illustrates the proposed estimators for this model.     

Risk aggregation with dependence and overdispersion based on the compound Poisson INAR(1) process

Abstract

This paper considers an extension of the classical discrete time risk model for which the claim numbers are assumed to be temporal dependence and overdispersion. The risk model proposed is based on the first-order integer-valued autoregressive (INAR(1)) process with discrete compound Poisson distributed innovations. The explicit expression for the moment generating function of the discounted aggregate claim amount is derived. Some numerical examples are provided to illustrate the impacts of dependence and overdispersion on related quantities such as the stop-loss premium, the value at risk and the tail value at risk.     

基于文献关键词统计分析的我国开放与远程教育研究现状探析

以中国知网（CNKI）为平台,利用共词分析方法,对2006年1月至2015年6月间公开发表在开放与远程教育领域期刊论文的关键词进行统计分析,结合SATI软件和UCINET软件进行数据处理,探讨高频关键词之间的内在联系,揭示我国开放与远程教育研究的主题结构和核心领域。结果表明：此间我国开放与远程教育领域主要存在七大研究主题;远程学习、网络课程、学习支持服务、学习者是该领域的研究核心;移动学习、内容分析、学习科学和远程学习者将成为未来的研究热点。     

国外环境风险感知跨学科研究的知识谱系

自20世纪80年代开始,环境风险感知研究成为国际学者关注的重点和热点。国内外大量学者基于不同学科视角对环境风险感知进行研究,但这一研究领域仍存在较大争议。以1982—2019年公开发表的关于环境风险感知的415篇WOS期刊相关论文为样本,运用SATI软件构建知识单元共现矩阵,将矩阵导入 Ucinet 社会网络分析软件生成环境风险感知关键词共现知识图谱,采用SPSS软件对高频关键词相异矩阵进行因子分析、聚类分析和多维尺度分析,呈现环境风险感知的9个研究流派和4个维度的知识谱系,并在此基础上割裂为实存论和建构论。多学科路径下环境风险感知研究在“概念阐释”“内容统一”“理论整合”呈现相互渗透,彼此交融特征,但是由于实存论和建构论的互异性和隔膜,导致环境风险感知研究难以实质融合,由此可为我国的环境风险感知研究提供借鉴和反思。