常利率下带干扰负风险和模型的破产概率

本文考虑了常利率下带干扰负风险和模型的破产模型,给出了积分和积分-微分方程,并当理赔量为指数分布时给出了破产概率的具体表达式.     

Parameterized OWA operator weights: An extreme point approach

Since Yager first presented the ordered weighted averaging (OWA) operator to aggregate multiple input arguments, it has received much attention from the fields of decision science and computer science. A critical issue when selecting an OWA operator is the determination of the associated weights. For this reason, numerous weight generating methods, including rogramming-based approaches, have appeared in the literature. In this paper, we develop a general method for obtaining OWA operator weights via an extreme point approach. The extreme points are represented by the intersection of an attitudinal character constraint and a fundamental ordered weight simplex. The extreme points are completely identified using the proposed formula, and the OWA operator weights can then be expressed by a convex combination of the identified extreme points. With those identified extreme points, some new OWA operator weights can be generated by a centroid or a user-directed method, which reflects the decision-maker’s incomplete preferences. This line of reasoning is further extended to encompass situations in which the attitudinal character is specified in the form of interval with an aim to relieve the burden of specifying the precise attitudinal character, thus obtaining less-specific expressions that render human judgments readily available. All extreme points corresponding to the uncertain attitudinal character are also obtained by a proposed formula and then used to prioritize the multitude of alternatives. Meanwhile, two dominance rules are effectively used for prioritization of alternatives.     

Elementary computation of ramified components of the Jacobi sum Hecke characters

R. Coleman and W. McCallum calculated ramified components of the Jacobi sum Hecke characters explicitly using their computation of the stable reduction of the Fermat curve in Coleman and McCallum (1988) [CW]. In this paper, we give an elementary proof of the main result of them without using rigid geometry or the stable model of the Fermat curve.     

Asymptotics of a family of binomial sums

Using a recent method of Pemantle and Wilson, we study the asymptotics of a family of combinatorial sums that involve products of two binomial coefficients and include both alternating and non-alternating sums. With the exception of finitely many cases the main terms are obtained explicitly, while the existence of a complete asymptotic expansion is established. A recent method by Flajolet and Sedgewick is used to establish the existence of a full asymptotic expansion for the remaining cases, and the main terms are again obtained explicitly. Among several specific examples we consider generalizations of the central Delannoy numbers and their alternating analogues.     

行为NA的随机变量阵列加权和的完全收敛性

In this paper we obtain theorems of complete convergence for weighted sums of arrays of rowwise negatively associated （NA） random variables. These results improve and extend the corresponding results obtained by Sung （2007）, Wang et al. （1998） and Li et al. （1995） in independent sequence case.     

A general law of precise asymptotics for products of sums under dependence

Let {Xn,n ≥ 1} be a strictly stationary LNQD （LPQD） sequence of positive random variables with EX1 = μ 〉 0, and VarX1 = σ^2 〈 ∞. Denote by Sn = ∑i=1^n Xi and γ = σ/μ the coefficients of variation. In this paper, under some suitable conditions, we show that a general law of precise asymptotics for products of sums holds. It can describe the relations among the boundary function, weighted function, convergence rate and limit value in the study of complete convergence.     

Complete moment and integral convergence for sums of negatively associated random variables

For a sequence of identically distributed negatively associated random variables {Xn; n ≥ 1} with partial sums Sn = ∑i=1^n Xi, n ≥ 1, refinements are presented of the classical Baum-Katz and Lai complete convergence theorems. More specifically, necessary and sufficient moment conditions are provided for complete moment convergence of the form ∑n≥n0 n^r-2-1/pq anE（max1≤k≤n｜Sk｜^1/q-∈bn^1/qp）^＋〈∞to hold where r 〉 1, q 〉 0 and either n0 = 1,0 〈 p 〈 2, an = 1,bn = n or n0 = 3,p = 2, an = 1 （log n） ^1/2q, bn=n log n. These results extend results of Chow and of Li and Spataru from the indepen- dent and identically distributed case to the identically distributed negatively associated setting. The complete moment convergence is also shown to be equivalent to a form of complete integral convergence.     

三聚氰胺磁性表面分子印迹聚合物的制备及其在牛奶样品中的应用

以三聚氰胺（MEL）为模板分子、α-甲基丙烯酸（MAA）为功能单体、乙二醇二甲基丙烯酸酯（EGDMA）为交联剂、Fe₃O₄@SiO₂磁性材料为载体,制备得到三聚氰胺磁性表面分子印迹聚合物（MEL-MMIPs）。分别使用透射电镜（TEM）、热重分析（TGA）、傅立叶变换红外光谱（FT-IR）和振动样品磁强计（VSM）对制备的MMIPs进行表征。结果表明,印迹聚合物层成功地在Fe₃O₄@SiO₂磁性材料表面包覆,印迹粒子具有良好的磁学性能。将磁性分子印迹聚合物应用于牛奶中三聚氰胺的富集分离,采用高效液相色谱法（HPLC）检测,结果显示该磁性表面分子印迹聚合物对三聚氰胺有特异性吸附。以制备的MMIPs为吸附剂,建立了一种简单、快速和高选择性测定牛奶中三聚氰胺的方法。     

Correlation among grain boundary character,carbide precipitation and deformation in Alloy 690

The correlation among grain boundary character, carbide precipitation and deformation in the grain boundary engineering (GBE) treated Alloy 690 samples with and without pre-deformation aged at 715^oC for 15?h was analysed by scanning electron microscopy and electron backscatter diffraction. The fraction of low Σ coincidence site lattice (CSL) grain boundary was enhanced by GBE treatment. The fraction of Σ3 grain boundary decreased, and most of Σ9 and Σ27 grain boundaries disappeared in the deformed GBE samples. After aging treatment, bigger carbide precipitated at coherent Σ3 grain boundary, however, most of plate-like carbide precipitated at incoherent Σ3 grain boundary disappeared in the pre-deformed GBE samples. The larger carbide precipitated on the random grain boundary in the 5% pre-deformed sample, while smaller carbide can be observed in the 15% pre-deformed sample. During the in situ tensile test of the aged GBE samples, grain boundary carbide migrated with the grain boundary migration. The slip bands go across Σ3 grain boundary directly, but cannot go across other grain boundaries. The high density of carbide plate precipitated near incoherent Σ3 and Σ9 grain boundaries can resist the evolution of slip bands. Compared to the Σ3 and Σ9 grain boundaries, Σ27 and random grain boundaries are more easily to form microcrack during deformation. The initiation of grain boundary microcrack not only related to the character of grain boundary but also related to the character of nearby grain boundaries. The phase interface of carbide and matrix is another region to initiate the microcrack.     

ZnO在辐射场中的光激发特性研究

采用密度泛函理论的BPV86方法, 在6-311G++(d, p)基组水平上优化了不同外电场(0～0.080 a.u.)下氧化锌分子的基态稳定构型, 在此基础上利用同样的方法计算了氧化锌分子的分子结构、偶极矩、总能量、能隙以及红外光谱和紫外-可见吸收光谱强度。结果表明, 在外电场的作用下, 分子结构变化明显, 与电场呈现强烈的依赖关系。随着正向外加电场的增加, ZnO分子键长一直在增大, 电偶极距也是一直增大, 分子总能量不断减小, 分子能隙不断减小, 红外光谱吸收峰出现红移现象。随着外电场的加强, 分子紫外可见吸收光谱振子强度先增大后减小再增大再减小反复变化, 其波峰则出现蓝移现象。