数学分析与高等代数有关问题和方法的相互渗透

数学分析与高等代数中的理论及相关问题是不同的,处理问题的思想方法自然也不同,但它们之间又有密切的联系。本文通过实例说明了数学分析与高等代数有关问题的相互渗透与融合。     

Bayesian inferences related to shifting sequences and two-phase regression

The problem of estimating the switch point in a sequence of independent random variables is studied from a Bayesian viewpoint. Theoretical results and numerical examples are given for the normal sequence and two-phase regression.     

On the Optimal Parameters for Reconstruction and Forecasting in Singular Spectrum Analysis

There are two main parameters in Singular Spectrum Analysis (SSA). The aim of this study is to determine whether the optimal values of these parameters are different for reconstruction and forecasting stages, and if those are worth the extra computational effort and time which they require. Here, we evaluate these issues using simulation study.     

中值定理“中间点”渐近性研究的新进展(I)

综述了近年来在中值定理“中间点”渐近性方面取得的若干新成果 ,同时 ,提出了笔者认为值得进一步讨论的问题     

从语篇视点看英汉语篇互译

视点理论作为语言学界和文学批评界共同关注的话题，对英汉互译也有重要的指导意义。本文从语篇视点理论出发，结合典型的翻译实例，就视点标志及其翻译策略进行论证，指出译者应正确解读原语语篇的视点。用符合译入语表达习惯的方式将其真实地再现给目标语读者。     

提高普通车床接触刚度的新方法

通过改进普通车床主轴箱与床身接触面的刮削方法增加接触点，从而提高接触刚度．     

从实际生活出发 去理解实际生活——在上海大学上海社会发展研究中心揭牌仪式上的讲话

此文表达了在上海大学成立上海社会发展研究中心的意图．上海是经济社会大发展的一个基地，这个发展必然会要求社会学的研究者发挥更大的作用。新成立的研究中心作为一个“实验室”，努力培养一支有真才实学的、能真心服务于上海发展的科研队伍。     

一类差分方程解的收敛速度及其应用

给出在 φ满足 Kantorovich引理的条件下 ,差分方程 tk 1=φ( tk)迭代序列 {tk}收敛于不动点 t* 的四种收敛速度 .作为应用 ,给出文 [1 ]中 Rheinbold W定理的一个更为明显的结果     

Takacs–Fiksel Method for Stationary Marked Gibbs Point Processes

Abstract. This article studies a method to estimate the parameters governing the distribution of a stationary marked Gibbs point process. This procedure, known as the Takacs–Fiksel method, is based on the estimation of the left and right hand sides of the Georgii–Nguyen–Zessin formula and leads to a family of estimators due to the possible choices of test functions. We propose several examples illustrating the interest and flexibility of this procedure. We also provide sufficient conditions based on the model and the test functions to derive asymptotic properties (consistency and asymptotic normality) of the resulting estimator. The different assumptions are discussed for exponential family models and for a large class of test functions. A short simulation study is proposed to assess the correctness of the methodology and the asymptotic results.     

Linear Models in a general parametric form

The linear model Y - N(Xb, σ²∑) with a restriction R'b = M'u + c is considered, where X, R, M, ∑ and c are known. Explicit formulae are obtained for the best linear unbiased estimator of K'b, for the F-test of the hypothesis K'b = W'v + a, and for the simultaneous confidence intervals of the parameters K′_i b' s, where K = [K₁,K₂,…K_s], w, and a are known, none of the matrices X, ∑, R, M, K, and W is required to have full ranks, and the design X can be one - or multi-way,complete or incomplete, balanced or not balanced, connected or disconnected.