A strong law of large number for negatively dependent and non identical distributed random variables in the framework of sublinear expectation

Abstract

In this article, in the framework of sublinear expectation initiated by Peng, we derive a strong law of large numbers (SLLN) for negatively dependent and non identical distributed random variables. This result includes and extends some existing results. Furthermore, we give two examples of our result for applications.     

飞机产业发展的法律和政策支持——以巴西经验为参考

1970年以来,中国大飞机项目经历了上马、中途遇挫和中止的过程,直到2006年再次被列为国家高技术产业重大专项。目前业界和学者均建议国务院尽快制定大型民用飞机产业发展条例,从法律上对项目的可持续性给予保障。巴西航空工业自1969年以来在政府的干预和扶持下迅速发展,巴西航空工业公司目前已成为世界第四大飞机制造商。巴西民机产业发展中的法律和政策支持的经验可以给中国民用飞机发展条例的制定以及该产业的发展提供参考。     

分析电磁散射问题的MGFFT方法

采用多重网格法（ＭＧ）分析电大尺寸物体的电磁散射，这种ＭＧ方法与已有的几种多重矩量法有本质的不同，与其他多层方法相比，它是一种高效率的迭代方法。再利用积分方程的卷积特性引入ＦＦＴ方法快速计算迭代过程中矩阵与矢量的乘积，从而构成ＭＧＦＦＴ新算法，数值结果表明ＭＧＦＦＴ方法具有很高的计算效率，适用于电大尺寸问题的分析。     

阶的估计方法及应用

文章对阶的估计作了一些探讨,给出了一些有用的性质定理,并在此基础上简要地讨论了阶的估计在分析中的应用。     

Nonparametric M-regression with free knot splines

Many problems of practical interest can be formulated as the nonparametric estimation of a certain function such as a regression function, logistic or other generalized regression function, density function, conditional density function, hazard function, or conditional hazard function. Extended linear modeling provides a convenient theoretical framework for using polynomial splines and their selected tensor products in such function estimation problems and especially for obtaining rates of convergence of the resulting estimates in a unified manner. For a long time the theoretical results were restricted to fixed knot splines and to log-likelihood functions that were twice continuously differentiable. Recently, Stone and Huang extended the theory to handle free knot splines. In the present paper, the theory is further extended to handle contexts in which the log-likelihood function may not be differentiable. Specifically, we establish rates of convergence for estimation based on free knot splines in the context of nonparametric regression corresponding to M-estimates, which includes least absolute deviations (LAD) regression, quantile regression, and robust regression as special cases.     

经济表诠释

魁奈的经济表因晦涩难懂,被称为经济学说中的“司芬克斯之谜”。人们对经济表的普遍理解大都基于马克思对经济表的评述,而马克思的评述仅限于一版规范而均衡的图式表。魁奈的经济表共计12个版本,按各版本设制的时间先后和形式繁简,可分为“原表”、“略表”和“图式”;按经济表的均衡状态,又可分为均衡模式和非均衡模式。对经济表的各类版本和模式作出合理、全面的诠释,方见其蕴含的闪光的经济思想和宏观政策主张。     

On the relation between Hodges-Lehmann efficiency and Pitman efficiency

The relation between Hodges–Lehmann efficiency and Pitman efficiency is studied in the context of testing one-sided hypotheses about a real-valued parameter. It is first shown that for tests based on sums of independently and identically distributed observations local Hodges-Lehmann efficiency is equivalent to Pitman efficiency. Then, it is proved that this equivalence also carries over to tests based on two broad classes of M -estimators for the location problem. In all cases considered explicit formulas of the Hodges-Lehmann efficacies are obtained.     

混凝土刚构桥高大边跨不平衡现浇施工技术

以黄延高速公路葫芦河特大桥施工为背景，介绍边跨现浇施工中，通过及时改变合龙顺序，缩短边跨现浇段长度，在边跨采用不平衡悬浇与托架现浇相结合的方法，成功解决了边跨高墩跨大的施工难题，为以后工程施工提出有益的探索。     

锚杆支护在整治高地应力软岩隧道大变形的效应分析

根据乌鞘岭隧道工程实例阐述了高地应力软岩隧道大变形的特点，及其整治措施，通过模型计算对施作锚杆隧道与没有施作锚杆隧道的应力以及位移进行了比较，并论述了锚杆支护对于整治大变形的重要作用。     

Testing circular symmetry

The author addresses the problem of testing circular data for reflective symmetry about an unknown central direction and proposes a simple omnibus test based on the sample second sine moment about an estimation of this direction. Under quite general conditions, for an underlying distribution which is reflectively symmetric, the large‐sample asymptotic distribution of the test statistic is standard normal. Randomization and bootstrap variants of the test are also introduced, and the operating characteristics of different versions of the test are investigated in a Monte Carlo study. The large‐sample and bootstrap versions of the test are applied in the analysis of two illustrative examples drawn from the circular statistics literature.