Estimating chance reproducibility in Guttman Scaling

A definition of reproducibility in Guttman Scaling and two chance measures of reproducibility are suggested. The first measure assumes that the items are independent. The second method assumes nonindependent items and fits respondent and item margins by an iterative method used in fitting log-linear models. Chance reproducibility is conceptualized in terms of assumptions about respondent variability.     

孙悟空的名号与《西游记》的主旨

《西游记》中,孙悟空的名号有一个美猴王-孙悟空-弼马温-齐天大圣-孙行者-斗战胜佛的变化,亦可称之为心与魔之间相交的变化。二者相交反映着孙悟空的心路历程,即求心-束心-放心-收心-正心的过程,而这也正是小说的主旨。且心魔相交之说在《西游记》主旨探求过程中始终是一条重要支脉而延绵不断,这与晚明大行其道的心学思潮有着紧密关联。     

Elementary renewal theorems for widely dependent random variables with applications to precise large deviations

Abstract

On the basis of Wang and Cheng (J. Math. Anal. Appl. 384 (2011) 597–606), this paper further investigates elementary renewal theorems for counting processes generated by random walks with widely orthant dependent increments. The obtained results improve the corresponding ones of the above-mentioned paper mainly in the sense of weakening the moment conditions on the positive parts of the increments. Meanwhile, a revised version of strong law of large numbers for random walks with widely orthant dependent increments is established, which improves Theorem 1.4 of Wang and Cheng (2011 Wang, Y., and D. Cheng. 2011. Basic renewal theorems for a random walk with widely dependent increments and their applications. Journal of Mathematical Analysis and Applications 384 (2):597–606. doi:10.1016/j.jmaa.2011.06.010.[Crossref], [Web of Science ®] , [Google Scholar]) by enlarging the regions of dominating coefficients. Finally, by using the above results, some precise large deviation results for a nonstandard renewal risk model are established, in which the innovations are widely orthant dependent random variables with common heavy tails, and the inter-arrival times are also widely orthant dependent.     

《回回原来》及其相关研究述评

本文对已往学术界对有关《回回原来》的研究作了较为细致的梳理,并将有关研究从方法上分为实证史学研究和民族民间文学研究两类。同时,对两种不同研究策略作了比较和评价。     

A strong law of large numbers for independent random variables under non-additive probabilities

Abstract

Under non‐additive probabilities, cluster points of the empirical average have been proved to quasi-surely fall into the interval constructed by either the lower and upper expectations or the lower and upper Choquet expectations. In this paper, based on the initiated notion of independence, we obtain a different Marcinkiewicz-Zygmund type strong law of large numbers. Then the Kolmogorov type strong law of large numbers can be derived from it directly, stating that the closed interval between the lower and upper expectations is the smallest one that covers cluster points of the empirical average quasi-surely.     

基于自组织的大型建筑企业控制力协同进化研究

针对大型建筑企业控制力动态协同的定量化仿真问题,基于复杂系统视角,应用自组织理论分析大型建筑企业控制力自组织耦合网络作用关系,选择有效朗之万方程构建大型建筑企业控制力系统的自组织协同进化模型,通过线性近似法的性态稳定求解非线性方程的稳定性,得出大型建筑企业控制力系统协同进化演化过程的四个决定性参数,并通过MATLAB软件进行参数枚举取值,具体分析企业控制力协同演化。案例验证该模型可对大型建筑企业控制力协同演化最佳状态实现更加精确的参数取值,并发现大型建筑企业控制力协同演化最佳状态的充要条件,以及一种新的大型建筑企业控制力协同演化状态。     

习近平外交思想指向下中日关系发展的新定位

近年来中日关系逐步转寒回暖,无论政治交流氛围,还是经济合作环境都得到了较大改善,这离不开中国政府根据国际形势及中日关系的变化及时调整对日政策,也充分体现了习近平新时代中国特色社会主义外交思想对中日关系缓和发展的引领作用。在安倍首相访华及习近平主席出席大阪G20峰会之后,两国政府在努力建设契合新时代要求的中日关系上达成多点共识。中日双方将依托“一带一路”倡议和第三方市场合作的平台,进一步致力于深化经济合作,维护多边主义和自由贸易体制,共同培育新动能和新的增长点,加速东北亚区域命运共同体的构建。     

The laws of large numbers for Pareto-type random variables with infinite means

In this paper, we consider the laws of large numbers for NSD random variables satisfying Pareto-type distributions with infinite means. Based on the Pareto-Zipf distributions, some weak laws of large numbers for weighted sums of NSD random variables are obtained. Meanwhile, we show that a weak law for Pareto-Zipf distributions cannot be extended to a strong law. Furthermore, based on the two tailed Pareto distribution, a strong law of large numbers for weighed NSD random variables is presented. Our results extend the corresponding earlier ones.     

Closure property of consistently varying random variables based on precise large deviation principles

Let X = {X₁, X₂, …} be a sequence of independent but not necessarily identically distributed random variables, and let η be a counting random variable independent of X. Consider randomly stopped sum S_η = ∑^η_{k = 1}X_k and random maximum S_(η) ? max?{S₀, …, S_η}. Assuming that each X_k belongs to the class of consistently varying distributions, on the basis of the well-known precise large deviation principles, we prove that the distributions of S_η and S_(η) belong to the same class under some mild conditions. Our approach is new and the obtained results are further studies of Kizinevi?, Sprindys, and ?iaulys (2016) and Andrulyt?, Manstavi?ius, and ?iaulys (2017).     

十年一觉迷考据,赢得红楼梦魇名:张爱玲的红学研究——港台及海外学人的红学研究综论之七

张爱玲红学观点和思想集中体现在《红楼梦魇》之中,这部著作集中考辨了《红楼梦》的成书问题,旨在申明其《红楼梦》"是创作不是自传"的红学主张。这一研究的终极目标是值得肯定的,即"洗出《红楼梦》的本来面目",彰显《红楼梦》真实的艺术魅力。《红楼梦魇》是对俞平伯文学考证路向的承继,因其更加地贴近《红楼梦》,所以显得多姿多彩。当然,这种"贴近"究竟多大程度上印证了曹雪芹创作时的真实想法,却难以证实。因为"看不懂"的缘故,学者对《红楼梦魇》的批评并不多,其中周汝昌的批评最具个性。