The bootstrap and Bayesian bootstrap method in assessing bioequivalence

Parametric method for assessing individual bioequivalence (IBE) may concentrate on the hypothesis that the PK responses are normal. Nonparametric method for evaluating IBE would be bootstrap method. In 2001, the United States Food and Drug Administration (FDA) proposed a draft guidance. The purpose of this article is to evaluate the IBE between test drug and reference drug by bootstrap and Bayesian bootstrap method. We study the power of bootstrap test procedures and the parametric test procedures in FDA (2001). We find that the Bayesian bootstrap method is the most excellent.     

Annual intrinsic value of a company in a competitive insurance market

In this paper we analyze a measure of the insurance company’s value in an extended Lundberg model which includes the effect of competition on pricing. The extended model is designed to be an integral part of a multi-year controlled risk model of a company operating on both competitive insurance and financial markets, when insureds migrate in seeking for better rates and investors migrate in seeking for higher return on investments.     

无爪图泛圈性的邻域并条件

证明了,若G是一个p-阶3-连通无爪图,p≠10,11,15,并对G中任意两个不相邻的点u和v,满足|N(u)∪N(v)|≥(p-1)/2,则G是泛圈图.     

A linearized Crank–Nicolson Galerkin FEMs for the nonlinear fractional Ginzburg–Landau equation

In this paper, we study a linearized Crank–Nicolson Galerkin finite element method for solving the nonlinear fractional Ginzburg–Landau equation. The boundedness, existence and uniqueness of the numerical solution are studied in details. Then we prove that the optimal error estimates hold unconditionally, in the sense that no restriction on the size of the time step in terms of the spatial mesh size needs to be assumed. Finally, numerical tests are investigated to support our theoretical analysis.     

Newton's method based on bifurcation for solving multiple solutions of nonlinear elliptic equations

On the basis of bifurcation theory, we use Newton's method to compute and visualize the multiple solutions to a series of typical semilinear elliptic boundary value problems with a homogeneous Dirichlet boundary condition in . We present three algorithms on the basis of the bifurcation method to solving these multiple solutions. We will compute and visualize the profiles of such multiple solutions, thereby exhibiting the geometrical effects of the domains on the multiplicity. The domains include the square, disk, symmetric or nonsymmetric annuli and dumbbell. The nonlinear partial differential equations include the Lane–Emden equation, concave–convex nonlinearities, Henon equation, and generalized Lane–Emden system. Copyright © 2013 John Wiley & Sons, Ltd.     

Productivity and customer satisfaction in Swedish pharmacies: A DEA network model

This paper presents a Data Envelopment Analysis (DEA) network model that allows inclusion of customer satisfaction in efficiency and productivity measures. The network consists of a production node and a consumption node and offers flexibility in modelling the production and consumption process where a firm-specific allocation of input resources to production and customer oriented activities is allowed. The proposed model is applied on a sample of Swedish pharmacies with organizational objectives that necessitates a monitoring of efficiency and productivity as well as customer satisfaction. Estimation results from the network model and a direct productivity model (without customer satisfaction) are compared and indicate that the technical efficiency is lower under the network model. The productivity results indicate productivity progress under both models, albeit with a slower rate of change under the network model.     

Using cutting planes in an interactive reference point approach for multiobjective integer linear programming problems

We propose an interactive approach for multiple objective integer linear programming (MOILP) problems that combines the use of the Tchebycheff metric with cutting plane techniques. At each interaction, the method computes the nondominated solution for the MOILP problem that is closest to a reference point according to the Tchebycheff metric. The information provided by the decision maker in each dialogue phase is used to adjust the next reference point through a sensitivity analysis stage. Cutting plane techniques enable the method to take advantage of computations performed at previous iterations to solve the next scalarizing integer program. We address both theoretical issues and the computational implementation.     

Design of guided-mode resonance filters with an antireflective surface at oblique incidence

A design approach of guided-mode resonance filter (GMRF) with an antireflective surface at oblique incidence is presented. For a given incident angle or grating filling factor, the required grating filling factor or incident angle can be expressed by the analytical forms of the quadratic equations at quarter-wavelength thickness. Long-range, low sidebands are obtainable for a single-layer GMRF under the TM mode wave illumination at oblique incidence. The reflection properties such as the symmetry of the lineshape and the sideband level in the logarithm scale can be further improved by slightly varying both the grating period and the grating thickness. Magnetic field enhancement occurs in these structures due to the coupling between the evanescent diffracted order and the waveguide mode.     

多目标决策问题及其求解方法研究

针对多目标决策问题的多目标最优化问题化为单目标最优化问题进行了研究.其主要方法有:理想点法、等级权重法、加权算术平均法、加权几何平均法、风险偏好系数法、乘除法、模糊规划法等.此外,还对多目标最大最小和多目标最小最大决策问题进行了处理.     

随机奇异积分的Привалов-Plemelj公式

在概率极限意义下,研究了随机奇异积分,得到了Привалов-Plemelj公式,并获得了有关随机奇异积分的性质,取得了一些有意义的成果.