两种改进的非线性方程组四阶迭代求解法

文章基于两点Gauss型求积公式,分别结合梯形积分公式和Adomian分解法构造了两种牛顿型迭代格式.借助泰勒展开式,文章证明了这两种迭代格式都具有四阶收敛,并通过数值实验例子验证这两种迭代格式的有效性.     

R ＆ D STRATEGIC INVESTMENT IN AN ASYMMETRICAL CASE

This article analyzes R ＆ D investment decisions in an asymmetrical case. The investment decisions share three important characteristics. First, the investment is completely irreversible. Second, there are two kinds of uncertainties over the future returns from the investment and over technology in R ＆ D process, respectively. Third, there is strategic competition in the asymmetrical case. This article presents the optimal investment threshold values and the optimal investment rule of high-efficient firm （leader）, and shows that the investment threshold values are reduced by competition of two firms. Finally, the mixed investment strategies for two firms, the probability that each firm separately exercises the option to invest, and the probability that two firms simultaneously exercise the option are given in the paper.     

Robustness of alternative non‐linearity tests for SETAR models

In recent years there has been a growing interest in exploiting potential forecast gains from the non‐linear structure of self‐exciting threshold autoregressive (SETAR) models. Statistical tests have been proposed in the literature to help analysts check for the presence of SETAR‐type non‐linearities in an observed time series. It is important to study the power and robustness properties of these tests since erroneous test results might lead to misspecified prediction problems. In this paper we investigate the robustness properties of several commonly used non‐linearity tests. Both the robustness with respect to outlying observations and the robustness with respect to model specification are considered. The power comparison of these testing procedures is carried out using Monte Carlo simulation. The results indicate that all of the existing tests are not robust to outliers and model misspecification. Finally, an empirical application applies the statistical tests to stock market returns of the four little dragons (Hong Kong, South Korea, Singapore and Taiwan) in East Asia. The non‐linearity tests fail to provide consistent conclusions most of the time. The results in this article stress the need for a more robust test for SETAR‐type non‐linearity in time series analysis and forecasting. Copyright © 2004 John Wiley & Sons, Ltd.     

Influence of hydrochlorothiazide on the pain threshold and on the antinociceptive activity of morphine,in rats

Summary Hydrochlorothiazide, acutely injected in rats, has a weak analgesic activity per se and potentiates and prolongs the antinociceptive effect of morphine.This work was supported in part by grants from Consiglio Nazionale delle Ricerche, and by Ministero della Pubblica Istruzione, Roma.     

选择最小方差阈值的判别式方法

本文阐述了选择最小方差阈值的各次累积矩判别式方法,证明了零次矩判别式最小方差阈值选择法在理论上可使统计累积矩的次数降到最低,在实用上可进一步减少运算量。     

岩石扩容现象与超声横波特征参数相互关系研究评述

介绍了岩石扩容现象与超声皮特征参数相互关系相关专业领域研究的现状及其应用，在用横波速度最大值（Vsmax）来分析岩石微裂纹初始扩展时的应力值（应力门槛值）新方法的基础上，建议利用主动的人工横波震源，应力门槛值、Vsmax后的横波速度值与岩石裂纹加速发展的同步减小特性，更深入地进入地震破裂丛集及前兆特征的研究，有可能建立地震和地质灾害性预报的新方法，并提出利用利用传统方法研究岩石扩容机理，应力门槛值，泊松比等的同时，进行岩石扩容现象，声发射和超声波横波等特性参相互关系研究的新思路。     

极值VaR度量的一个新方法研究

在险价值是度量市场风险的一种普遍使用的工具，是市场风险度量的基石。本文应用统计学中的极值理论与泊松过程于VaR的计算。这种新方法是VaR度量方法中最稳健的方法之一。     

Banach空间中有限族非扩张映象隐迭代程序的收敛性

在Banach空间的框架下，研究了有限族非扩张映象隐迭代程序的收敛性，其结果不仅改进和发展了最新的有关结果，而且也肯定地回答了Xu提出的一个公开问题。     

Banach空间积-微分方程整体解的存在性

利用上下解的单调迭代方法,采用适当的迭代程序,在较弱的条件下,获得了Banach空间积-微分方程初值问题整体解的存在性结果.     

数字图象的二值化处理技术探究

分析了数字图象二值化处理的特点，提供了几种二值化处理技术，并对这些算法进行了测试与比较，最后根据实践应用对二值化处理中的动态阈值的选取策略等相关技术作出了阐述。