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.     

民国时期的社会转型、政权建设与族群关系

中华民国时期是中国历史中最复杂和最动荡的时代。贯穿民国38年历史的有三条主线。第一条主线是中国各族人民坚持反对帝国主义侵略的斗争;第二条主线是中华民国下属各民族维护国家统一、与帝国主义支持的国内分裂势力的斗争。这两条主线是晚清"救亡图存"斗争的延续。第三条主线是探索如何实现国家体制的政治转型,实现从"多元型帝国"向现代"民族国家"的体制过渡和国民思想过渡。在整个民国期间,帝国主义别有用心地向中国各族群输入"民族"意识,并扶植代理人。民国历史中,最核心的利益是救国图存,捍卫中华民族的独立和领土完整。在评价民国所有的历史人物时,这是一条最根本的底线。     

Missing value imputation method for disaster decision-making using K nearest neighbor

Due to destructiveness of natural disasters, restriction of disaster scenarios and some human causes, missing data usually occur in disaster decision-making problems. In order to estimate missing values of alternatives, this paper focuses on imputing heterogeneous attribute values of disaster based on an improved K nearest neighbor imputation (KNNI) method. Firstly, some definitions of trapezoidal fuzzy numbers (TFNs) are introduced and three types of attributes (i.e. linguistic term sets, intervals and real numbers) are converted to TFNs. Then the correlated degree model is utilized to extract related attributes to form instances that will be used in K nearest neighbor algorithm, and a novel KNNI method merging with correlated degree model is presented. Finally, an illustrative example is given to verify the proposed method and to demonstrate its feasibility and effectiveness.     

Brush Pen Follows the Mind and Artistic Creation of Animals is the Artist Himself ——On Li Pingye's freehand traditional Chinese ink painting

正Reading carefully of Li Pingye’s painting works with tiger being the main theme of creation,one will always feel a strong shocking force.This kind of feeling comes from two aspects.First,his works convey rich humanistic spirit connotation.Se cond,Mr.Li has a unique style of artistic language of overbearing Chinese ink painting.In the circle of     

中国地方人民代表大会预算监督研究

加强地方人民代表大会预算监督不仅有助于深化预算改革,而且有助于进一步完善人民代表大会制度和社会主义民主。人大预算监督包括信息、对话与强制三个维度。基于这三个维度的全国范围的问卷调查发现,随着预算改革的推进,人大预算监督已经开始从原来的程序性监督迈向实质性监督,但是地方人大的预算监督仍然面临许多挑战。在未来的改革中,需要进一步加强人大预算监督,促使政府更好地对人民负责。     

关于“中国道路”争论中的两个问题

近年来,随着中国经济的持续快速发展,关于中国模式、中国道路的问题引起了人们的广泛注意,也存在着巨大的分歧和争论。其实,讨论中国道路,需要有一种世界历史的大视野,需要从中华民族走向现代化的历史大尺度来审视。基于这种大视野和大尺度,有利于对我们所取得的成绩,所走过的曲折道路、所处的历史阶段、所面临的诸多难题及其成因,进行冷静的反思和理性的考察,形成清醒的认识和科学的定位,从而能够合理地科学地谋划中国的未来发展。     

Fast robust feature screening for ultrahigh-dimensional varying coefficient models

In this paper, we propose a new partial correlation, the so-called composite quantile partial correlation, to measure the relationship of two variables given other variables. We further use this correlation to screen variables in ultrahigh-dimensional varying coefficient models. Our proposed method is fast and robust against outliers and can be efficiently employed in both single index variable and multiple index variable varying coefficient models. Numerical results indicate the preference of our proposed method.     

关于职业学校实施品牌战略的思考

创建学校品牌有助于提高生源质量,提高教学质量,提升职业学校形象。     

对华北油田勘探历程的再认识

华北油田是我国最早发现古潜山海相碳酸盐岩油气藏的地方,也是产量骤起骤降幅度最大的一个油田,它的勘探过程中蕴含着太多丰富的经验值得总结.从任4井发现的细节入手进行回顾,对华北油田勘探经验中的古潜山、碳酸盐岩、震旦系灰岩等关键问题进行了深入思考.指出按有机成油论的学说很难将华北油田的历史经验深入总结下去,应按无机成油论的观点,对华北油田的历史经验进行再认识.