On Non-parametric Estimation of the Survival Function with Competing Risks

The non-parametric maximum likelihood estimators (MLEs) are derived for survival functions associated with individual risks or system components in a reliability framework. Lifetimes are observed for systems that contain one or more of those components. Analogous to a competing risks model, the system is assumed to fail upon the first instance of any component failure; i.e. the system is configured in series. For any given risk or component type, the asymptotic distribution is shown to depend explicitly on the unknown survival function of the other risks, as well as the censoring distribution. Survival functions with increasing failure rate are investigated as a special case. The order restricted MLE is shown to be consistent under mild assumptions of the underlying component lifetime distributions.     

Estimation of relaxation time distributions in magnetic resonance imaging

Magnetic resonance imaging techniques can be used to measure some biophysical properties of tissue. In this context, the T₂ relaxation time is an important parameter for soft‐tissue contrast. The authors develop a new technique to estimate the integral of the distribution of T₂ relaxation time without imposing any constraint other than the monotonicity of the underlying cumulative relaxation time distribution. They explore the properties of the estimation and its applications for the analysis of breast tissue data. As they show, an extension of linear discriminant analysis is found to distinguish well between two classes of breast tissue.     

Bootstrap tests: how many bootstraps?

In practice, bootstrap tests must use a finite number of bootstrap samples. This means that the outcome of the test will depend on the sequence of random numbers used to generate the bootstrap samples, and it necessarily results in some loss of power. We examine the extent of this power loss and propose a simple pretest procedure for choosing the number of bootstrap samples so as to minimize experimental randomness. Simulation experiments suggest that this procedure will work very well in practice.     

Testing for No Effect by Cosine Series Methods

The properties of three lack-of-fit tests that are related to non-parametric cosine regression analysis are examined in the context of testing for a constant mean function. Analytic power comparisons of these tests vs a most powerful test are made using intermediate asymptotic relative efficiency. In particular, a data-driven test is produced which is asymptotically as efficient as the most powerful test over a class of alternatives. A small scale simulation experiment is conducted to ascertain the extent that the large sample comparisons are applicable to finite samples.     

《世界经济地理》教材编写体系研究

本文从理论上探讨世界经济地理研究的依据和体系,指出现行教材编写存在的问题,提出编写的新建议。认为世界经济地理侧重研究经济区→经济地域→经济地域系统及其运动规律,认为存在世界和国家级区域级别差异。为此,本文认为教材编写时要强调条件要素要与经济地域和经济地域系统形成发展过程一起进行论述,要突出研究对象的等级层次关系,突出城市或城市群的地位与作用,并要加强国家经济国际化进程对经济地域形成发展的影响作用。     

用跳马步系列研究奇素数阶规则完美幻方的个数

本文先介绍跳马步系列的有关概念及性质,然后用跳马步系列研究奇素数阶规则完美幻 方的个数。     

譜分析和滤波兼容的模拟系統

本文利用序列的双重性原理对移动傅立叶变换作了深入的研究.根据频率采样理论,将模拟系统的传递函数H(ω)分解为若干子系统之和,并画出其结构框图,这个系统可以用来测量模拟信号的移动离散谱,也可用作低通、带通或梳状滤波器.最后还给出实现该系统的具体方框图.     

怎样評价一个专家系统

本文首先介绍了专家系统,然后着重介绍了国外评价专家系统的准则。它包括基本特性的估计、开发环境、学习和使用性、成本以及怎样得到支持等,最后将举例说明怎样用这些准则来评价一个实际的专家系统。     

水力发电企业整体效益评价及实例

针对水力发电企业的整体经济效益难以进行评价的问题,提出了以灰色关联度技术为支撑,选择数量模型评价方法,应用层次分析法的有关技术和思想,建立起具有可操作性的评价模型及评价体系。     

塑料注射机节能问题的研究与探讨

本文针对 XS—ZY—125型塑料注射成型机,分析了现行通用的双联泵供油液压系统耗能大的原因。介绍了压力流量补偿负荷传感液压系统在注射机上应用的基本原理。通过应用上述两种液压系统分别驱动同一台注射机的生产运行对比试验和能耗测试分析,证明压力流量补偿负荷传感液压系统具有十分显著的节能效果。通过经济效益估算分析,指出进一步开发压力流量补偿负荷传感液压系统在注射机上的应用,不仅具有十分显著的经济效益,而且具有很大的社会效益。