间接光滑逼近

改进了链接超平面模型，并在找链接算法的基础上给出了一个处处光滑的间接光滑逼近算法，该算法在保持找链接算法简洁这一优势的同时，给出了处处光滑的逼近结果，且这一算法可以用于任意维空间。     

拓扑度理论中一个引理的改进

本文对文献（１）的一个引理进行了改进，从而推知拓扑度理论具有严密的逻辑性。     

椭圆锥同轴线的特性阻抗

首次提出了一种新型传输线-椭圆锥同轴线,假设其工作模式是TEM模,在球锥面坐标系下分离变量再通过坐标变换成二维平面坐标,并利用图形逼近和取尺寸上下限的几何均值方法计算此种传输线的特性阻抗。     

原子-分子散射的j_z守恒CSWP近似理论

把Coupled States(CS)近似应用于分子散射的波包(WP)理论中,导出了原子与双原子分子散射振幅和散射截面的CSWP近似表达式,该表达式中的势能矩阵关于j_z对角,角向和径向部分可利用3-j符号及一势能积分精确得到,避开了CS近似在计算势能矩阵时直接取近似所带来的较大误差.     

一类单周期的S_3~1(△_(mn)~((2)))插值

样条函数在 CAGD 上有着广泛的应用。本文继续[1]、[2]的工作,主要讨论了平面矩形区域在Ⅱ型三角剖分下的一类单周期二元三次插值样条的存在性和唯一性。给出了单周期样条空间的维数,并着重讨论了单周期样条插值的逼近度。     

函数的Tchebycheff—Fourier级数的(N,P)平均逼近

讨论了算子（N，P）的最佳逼近阶以及达到此逼近阶的一个充分条件。得到了f∈Lipα及f’∈Lipα时逼近误差的上界。     

Approximations for marginal densities of M-estimators

We develop a saddle-point approximation for the marginal density of a real-valued function p(), where is a general M-estimator of a p-dimensional parameter, that is, the solution of the system {n^-1_ljl (Y_l,) = 0}_j=1,…,p. The approximation is applied to several regression problems and yields very good accuracy for small samples. This enables us to compare different classes of estimators according to their finite-sample properties and to determine when asymptotic approximations are useful in practice.     

Bayesian Estimation and Prediction for the Beta-Binomial Model

The beta-binomial distribution, which is generated by a simple mixture model, has been widely applied in the social, physical, and health sciences. Problems of estimation, inference, and prediction have been addressed in the past, but not in a Bayesian framework. This article develops Bayesian procedures for the beta-binomial model and, using a suitable reparameterization, establishes a conjugate-type property for a beta family of priors. The transformed parameters have interesting interpretations, especially in marketing applications, and are likely to be more stable. More specifically, one of these parameters is the market share and the other is a measure of the heterogeneity of the customer population. Analytical results are developed for the posterior and prediction quantities, although the numerical evaluation is not trivial. Since the posterior moments are more easily calculated, we also propose the use of posterior approximation using the Pearson system. A particular case (when there are two trials), which occurs in taste testing, brand choice, media exposure, and some epidemiological applications, is analyzed in detail. Simulated and real data are used to demonstrate the feasibility of the calculations. The simulation results effectively demonstrate the superiority of Bayesian estimators, particularly in small samples, even with uniform (“non-informed”) priors. Naturally, “informed” priors can give even better results. The real data on television viewing behavior are used to illustrate the prediction results. In our analysis, several problems with the maximum likelihood estimators are encountered. The superior properties and performance of the Bayesian estimators and the excellent approximation results are strong indications that our results will be potentially of high value in small sample applications of the beta-binomial and in cases in which significant prior information exists.     

Record values and related statistics - a review

In this brief survey, we discuss major developments of the past decade in the study of record values, record times, inter-record times and some related statistics from a series of observations     

我国的通货膨胀与名义利率粘性:长期与短期费雪效应

弱费雪效应和名义利率粘性是货币政策有效的前提。本文使用傅里叶变换处理实际利率的时变性，扩展协整模型用以考察长期的费雪效应，并建立门限误差修正模型区分长期和短期的费雪效应，刻画名义利率短期的动态调整特征。基于我国1990年1月至2017年12月的月度数据研究发现：（1）我国名义利率和通货膨胀之间存在长期的弱费雪效应；（2）名义利率的短期动态调整特征存在显著的双重门限效应，在名义利率过度高于均衡值时会出现显著而快速的调整，而当名义利率低于均衡值或处于中间机制时，均没有发现显著的调整，即名义利率存在粘性。研究结果表明：当前阶段数量型货币政策在我国依然有效，因而存在综合使用数量型货币政策和价格型货币政策的空间。