多重随机环境下跨国采购和定价联合决策模型

在批发价、汇率和需求的三重随机波动环境下,考虑跨国采购与定价联合决策问题。本文主要利用随机过程来刻画批发价和汇率的随机性,并将两者的统计规律性纳入带有随机需求的决策模型的理论框架,进而给出跨国采购和定价联合决策模型及其可靠性评估机制。模型的相关结论表明:其一、不同周期的最优策略受到批发价与汇率波动的交互影响,当批发价和汇率波动性的重叠效应具有下降趋势时,销售商所采取的最优策略为增加一定的采购量,以实现系统的期望利润目标;其二、当批发价与汇率统计结构的属性为不可约遍历马氏链时,随机系统的下行风险具有良好的稳定性;其三、决策者可以通过本文提出靶向成本区间的上穿评估机制刻画随机系统的成本涨幅特征及其变化趋势,以解决供应商的最佳选择问题,从而达到了规避风险的运营目标。     

关于岩石破碎的三角形效应研究

本文从分形几何学的角度研究了岩石的断裂规律，从理论上论述了岩石破碎的三角形效应，并给出了一般岩石破碎的数学模型．     

辐射场的有效源

给出时谐电磁场矢量的积分关系式，探讨了辐射场的有效源，并应用于几个实例的计算.     

Bootstrapping data with multiple levels of variation

The authors consider general estimators for the mean and variance parameters in the random effect model and in the transformation model for data with multiple levels of variation. They show that these estimators have different distributions under the two models unless all the variables have Gaussian distributions. They investigate the asymptotic properties of bootstrap procedures designed for the two models. They also report simulation results and illustrate the bootstraps using data on red spruce trees.     

JOINT BEHAVIOUR OF PRECEDENCES AND EXCEEDANCES IN RANDOM THRESHOLD MODELS

This paper concerns the joint behaviour of precedence and exceedance statistics in random threshold models. Joint distributions of precedence and exceedance statistics, both exact and asymptotic, are obtained, and the results are illustrated for random thresholds based on order statistics and record values.     

Subsampling Variance Estimation for Non-stationary Spatial Lattice Data

ABSTRACT.  Most proposed subsampling and resampling methods in the literature assume stationary data. In many empirical applications, however, the hypothesis of stationarity can easily be rejected. In this paper, we demonstrate that moment and variance estimators based on the subsampling methodology can also be employed for different types of non-stationarity data. Consistency of estimators are demonstrated under mild moment and mixing conditions. Rates of convergence are provided, giving guidance for the appropriate choice of subshape size. Results from a small simulation study on finite-sample properties are also reported.     

干线战术通信网的抗毁模型研究

介绍了抗毁通信网分析与设计的原理和方法、针对干线战术通信网中节点移动会导致网络拓扑结构发生变化的特点,提出了动态网络拓扑设计模型和衡量干线战术通信网的抗毁性能的数学模型—随机图模型和齐次随机图模型、计算机模拟结果验证了随机图模型和齐次随机图模型的正确性.     

Tests and Confidence Intervals for an Extended Variance Component Using the Modified Likelihood Ratio Statistic

Abstract.  The large deviation modified likelihood ratio statistic is studied for testing a variance component equal to a specified value. Formulas are presented in the general balanced case, whereas in the unbalanced case only the one-way random effects model is studied. Simulation studies are presented, showing that the normal approximation to the large deviation modified likelihood ratio statistic gives confidence intervals for variance components with coverage probabilities very close to the nominal confidence coefficient.     

Approximate optimal allocation in repeated sampling from a finite population

Samples of size n are drawn from a finite population on each of two occasions. On the first occasion a variate x is measured, and on the second a variate y. In estimating the population mean of y, the variance of the best linear unbiased combination of means for matched and unmatched samples is itself minimized, with respect to the sampling design on the second occasion, by a certain degree of matching. This optimal allocation depends on the population correlation coefficient, which previous authors have assumed known. We estimate the correlation from an initial matched sample, then an approximately optimal allocation is completed and an estimator formed which, under a bivariate normal superpopulation model, has model expected mean square error equal, apart from an error of order n^-2, to the minimum enjoyed by any linear, unbiased estimator.     

凝聚随机算子的一个不动点定理

利用拓扑度的基本性质，给出了凝聚随机算子的一个不动点定理，由此推广了Altman定理，为进一步研究随机算子方程解的存在唯一性及解的近似方法提供了一个有力的工具。