纠缠相干态的纠缠浓缩

利用线性光学元器件对光场量子态进行操纵,可以实现远程的量子纠缠调控和量子通讯.通过分析光学分束器对相干态光场的作用,发现当初始光场态是两个两部分纠缠态的直乘时,让其中的两模通过光学分束器作用后再对其进行光子计数,另外两模将会塌缩到新的纠缠态.基于这个特点,提出了一个实现部分纠缠相干态纠缠浓缩的方案.在这个方案中,两个部分纠缠相干态被用来作为量子信道,通过光学分束器作用后对光场进行光子数探测时,如果测量到光场的两模分别处于奇光子数态和零光子数态,则光场另外的两模将塌缩到最大纠缠态,从而完成纠缠浓缩的过程.计算结果表明,对于纠缠相干态,无论其初始的纠缠是多么微弱,利用这种方法总有一定的几率可以从中提纯出最大纠缠态.     

多元威布尔分布形状参数相等的似然比检验

将多元威布尔分布形状参数相等的检验转化为多元极值分布尺度参数相等的检验,利用Logistic模型的似然比统计量,给出相关参数为0．3,0．5,0．8时,检验统计量的模拟分位数和功效,指出相关参数越小,似然比统计量的功效越大。     

Distribution and moments of the vector of the maximum of two absolutely continuous random vectors

In this paper, we determine the exact distribution of the vector of the componentwise maximum of two absolutely continuous dependent random vectors and we show that it is a finite mixture of particular skew distributions studied in the literature. The results are detailed when the two vectors are elliptically distributed and some particular cases are discussed. The exact expression of the covariance matrix is obtained in the normal case.     

用统计学方法研究中医藏象理论

五行学说是中医藏象理论的主要基础之一。本文依据对于中医理论形成过程的认识,试用通径分析为主的统计学方法,对北京在医药大学中医信息学研究室“中医药基础数据库”中方剂文献数据库的部分方剂适应症以及古代经典中医医案《名医类案》和《续名医类案》中的部分医案进行了分析。结果表明:中医藏象理论中的五行学说相关内容有一部分得到了验证,但有更大的部分没有得到验证。由于用于分析的数据的局限性,分析的结果更多是参考性和启发性;整个研究的更大意义是依据对中医理论发生发展的认识,考察用统计学方法进行中医理论研究,在方法学上的可行性与合理性。     

Central limit results for jump diffusions with mean field interaction and a common factor

A system of N weakly interacting particles whose dynamics is given in terms of jump-diffusions with a common factor is considered. The common factor is described through another jump-diffusion and the coefficients of the evolution equation for each particle depend, in addition to its own state value, on the empirical measure of the states of the N particles and the common factor. A Central Limit Theorem, as N → ∞, is established. The limit law is described in terms of a certain Gaussian mixture. An application to models in mathematical finance of self-excited correlated defaults is described.     

Progressive censoring from heterogeneous distributions with applications to robustness

Progressively censored order statistics from heterogeneous distributions are introduced and their properties are investigated. After deriving the joint density function, some properties are established. In particular, the case of proportional hazards leads to an interesting connection to the model of generalized order statistics. Finally, the special case of exponential distribution is considered and some known results are generalized to this heterogeneous case, and their implications to robustness are highlighted.     

Research on two different mathematical theories on control

With a brand-new theory, this paper not only provides the differences of attributes in concept, formula expression and function type between fuzzy rough sets and probability statistics, but also introduces their differences in algorithms on target control for better solving the control problem. Some new definitions and theorems concerning fuzzy rough sets and probability statistics are given, but this paper mainly makes a comparison of two control algorithms for the target tracking. The simulation results show that the comprehensive performance of the fuzzy rough sets algorithm is better than that of the probability statistics algorithm, but its control effect is not as good as that of the latter on multisensor target control. Finally, some problems concerning the combination of fuzzy rough sets and the probability statistics phenomenon to be solved and development trends are discussed. By these investigations, we can choose the optimal control algorithms for accomplishing better target control.     

An optimal randomized algorithm for d-variate zonoid depth

A randomized linear expected-time algorithm for computing the zonoid depth [R. Dyckerhoff, G. Koshevoy, K. Mosler, Zonoid data depth: Theory and computation, in: A. Prat (Ed.), COMPSTAT 1996—Proceedings in Computational Statistics, Physica-Verlag, Heidelberg, 1996, pp. 235–240; K. Mosler, Multivariate Dispersion, Central Regions and Depth. The Lift Zonoid Approach, Lecture Notes in Statistics, vol. 165, Springer-Verlag, New York, 2002] of a point with respect to a fixed dimensional point set is presented.     

航班飞行计划中燃油计算的风险传导分析

航空公司运行控制部门制定燃油计划需要依据航空器适航性、航行资料、天气资料、备降机场等来自不同部门的信息,某一工作环节信息出现的偏差可能导致飞机加油量不准确,影响飞行安全。本文依据对航空燃油计算过程的机理分析,构建了输入因素对输出风险影响的定量计算模型,在此基础上,研究了航空燃油计算流程上各个工作环节信息偏差的传导问题,对安全风险进行了定量研究。通过对A航空公司B航线实际燃油数据的案例分析,借助蒙特卡洛模拟,分析了爬升顶点重量的偏差对飞机落地剩油可持续时间的影响程度,验证了本文所提方法的可行性和有效性。     

工业行业发展当前满意度与发展前景分析

本文利用工业统计所得的行业发展信息,构造了“经济效益好”和“综合生产率高”等隶属函数,又通过“模糊袋”的方法,处理了心理统计的信息。将这些信息滤波综合,进而从“当前满意度”与“发展前景”两个不同的角度,对工业行业发展进行了分析。对于定性分析的定量化处理,这是一次新的偿试,本模型在延边朝鲜族自治州发展规划中得到了较满意的应用效果。