A Continuous Representation of the Family of Stable Law Distributions

Conventional parametric representations of stable law distributions do not allow all members of the family to be obtained as continuous limits of the parameters. Model building (or simulation) using such representations will be numerically unstable near such limits in consequence. Existing tables are not satisfactory near such limits as interpolation cannot be carried out. We show that these difficulties are overcome by using a new shifted Cartesian representation which characterizes the entire stable law family in a completely continuous way. Standardization is still possible with this representation so that tabulation, using just two bounded parameters, can be carried out. Its use is illustrated in a non-regular threshold estimation problem involving stable distributions which are discontinuous limits in conventional representations.     

Strong convergence rates of probabilistic integrators for ordinary differential equations

Probabilistic integration of a continuous dynamical system is a way of systematically introducing discretisation error, at scales no larger than errors introduced by standard numerical discretisation, in order to enable thorough exploration of possible responses of the system to inputs. It is thus a potentially useful approach in a number of applications such as forward uncertainty quantification, inverse problems, and data assimilation. We extend the convergence analysis of probabilistic integrators for deterministic ordinary differential equations, as proposed by Conrad et al. (Stat Comput 27(4):1065–1082, 2017. https://doi.org/10.1007/s11222-016-9671-0), to establish mean-square convergence in the uniform norm on discrete- or continuous-time solutions under relaxed regularity assumptions on the driving vector fields and their induced flows. Specifically, we show that randomised high-order integrators for globally Lipschitz flows and randomised Euler integrators for dissipative vector fields with polynomially bounded local Lipschitz constants all have the same mean-square convergence rate as their deterministic counterparts, provided that the variance of the integration noise is not of higher order than the corresponding deterministic integrator. These and similar results are proven for probabilistic integrators where the random perturbations may be state-dependent, non-Gaussian, or non-centred random variables.

     

依托信息技术 提升司法实践效能

随着我国社会经济快速发展,社会规制与现实的不相适应性日益凸显,社会各利益主体间的矛盾相互交织,司法环境则更加复杂,这些都迫切要求加快提升司法实践效能,以不断适应科学发展、和谐发展的社会期待。国际国内旨在提高司法实践效能的探索,尤其是上海法院依托信息化服务审判质效的实践为社会提供了可学习借鉴的经验:依托信息技术手段从加强审判专业知识库建设的视角,探究如何更好地统一司法尺度、智能辅助又好又快办案,筑牢办案质效基础;从加强科学调配审判资源的视角,探索如何提高"单位审判资源"的办案质效;从加强审判专业队伍建设的视角,挖掘如何培育和发挥法官业务潜能,提升办案质效源动力。     

大学生心理健康问题对策研究

大学生的心理健康主要存在五大问题即社会适应、人际交往、情绪、情感和性以及自我意识问题。本文从客观和主观两个方面对大学生心理健康问题产生的原因进行了分析,力图从课程、自我教育、心理咨询和体育运动这四个方面促进和完善大学生的心理健康教育。     

对发展燃料电池车的多种思考

介绍美国多方面的专家、学者所表达的关于如何开发美国氢能源的不同观点,可为中国规划和实施氢能源的研究开发工作有所借鉴。     

政府权能的行政生态学探讨

本文借用行政生态学理论框架，探讨了转型期我国行政模式的特征和积弊，论证了在新世纪为适应信息社会信息权威的潜存和“入世”后外驱动力凸显等行政生态新要素的变迁，积极进行政府权能改革的紧迫性和必要性，并提出了适应加入WTO后进行政府权能关系调整的可行性思路，以及适应信息社会和WTO体制要求进行政府权能改革的具体行为选择。     

大陆法系犯罪理论体系具体结构研究

在大陆法系,具有代表性的犯罪构成理论体系有许多种,其中构成要件符合性、违法性和有责性的体系居于通说的地位。与此相应,犯罪的形式概念可表述为:犯罪是符合构成要件的、违法的、有责的行为。大陆法系犯罪构成理论体系结构具有一定的合理性,但其缺陷也不容忽视。     

用现代数学理念尝试解决高等数学中的几个经典问题

对高等数学中的经典内容,建议尝试引入现代数学的概念、方法,解决高等数学教学中的三个问题.     

第二语言学习策略理论模式

第二语言学习策略可以定义为第二语言学习者在第二语言学习过程中,为完成规划任务所采取的动态方法和手段体系。这个体系包括语言学习规划、语言学习策略、语境/语言学习者因素和语育学习成效。     

论当代中国私营业主阶层存在的合理性

当代中国私营业主阶层从其出现到队伍的发展壮大,是有着社会经济发展规律支配的必然性的。存在的未必都是合理的,但当代中国私营业主阶层的存在是有其充分合理依据的。本文运用马克思主义经济学观点,从合法性角度,深入剖析当代中国私营业主阶层的收入来源。认为,合法的劳动收入和合法的非劳动收入是这一阶层收入的最主要来源。从而从理论上阐明这一阶层在中国存在的合理性。