On a class exhibiting trend change in average failure rate

Abstract

Weak convergence and moment convergence issues are investigated for the New Better than Average Failure Rate (NBAFR) family (introduced by Loh (1984 Loh, W. Y. 1984. A new generalization of the class of NBU distributions. IEEE Transactions on Reliability R-33 :97–113[Crossref], [Web of Science ®] , [Google Scholar])). We explore the validity of these results in the context of a more general ageing class that we introduce. We prove some new properties of this class and derive its interrelationships with other non-monotonic ageing families. Reliability and moment bounds are obtained and an interesting characterization of exponentiality is proved. Special cases of our results lead to new theorems for the NBAFR class. Finally weak convergence and related issues are established for this class.     

Kernel Estimation of Rate Function for Recurrent Event Data

Abstract.  Recurrent event data are largely characterized by the rate function but smoothing techniques for estimating the rate function have never been rigorously developed or studied in statistical literature. This paper considers the moment and least squares methods for estimating the rate function from recurrent event data. With an independent censoring assumption on the recurrent event process, we study statistical properties of the proposed estimators and propose bootstrap procedures for the bandwidth selection and for the approximation of confidence intervals in the estimation of the occurrence rate function. It is identified that the moment method without resmoothing via a smaller bandwidth will produce a curve with nicks occurring at the censoring times, whereas there is no such problem with the least squares method. Furthermore, the asymptotic variance of the least squares estimator is shown to be smaller under regularity conditions. However, in the implementation of the bootstrap procedures, the moment method is computationally more efficient than the least squares method because the former approach uses condensed bootstrap data. The performance of the proposed procedures is studied through Monte Carlo simulations and an epidemiological example on intravenous drug users.     

Moderate Deviations for Bayes Posteriors

Let ( X_k ) k be a sequence of i.i.d. random variables taking values in a set , and consider the problem of estimating the law of X₁ in a Bayesian framework. We prove, under mild conditions on the prior, that the sequence of posterior distributions satisfies a moderate deviation principle.     

ERP在钢铁贸易企业的应用研究

以上海宝钢技术经济发展公司为对象,根据公司对提升内部管理及业务流程规范化的要求,研究了公司建立ERP系统的定位及目标,提出应建立以钢材贸易和钢铁产品深加工为主业的ERP体系,实现流通过程中的价值增值.在分析存在的主要问题的基础上,提出了ERP的模式、流程设计及采购业务、库存业务的解决方案.     

南宋理学极盛的过程与原因试析

宋代理学到南宋孝宗、宁宗时期达到极盛 ,但无论从理学道统承传方面还是从社会政治条件方面看 ,孝宗之前的高宗朝实为理学发展的关键时期。理学由北宋时的民间之学发展到南宋时占主导地位的学派 ,活跃于高宗朝的程门弟子对二程学说的极力推展是一重要因素。同时 ,面对激烈的民族矛盾 ,高宗集团选择了主和派的妥协主张 ,并有意识地寻找与这一政策相适应的学术思想作为其理论根据 ,程系理学正是在这一现实政治需要中得到高宗集团的接纳、支持而逐渐繁荣兴盛起来。到孝宗朝 ,朱熹使理学形成庞大的思想体系 ,标志着中国古典哲学进入了一个新阶段。     

具有带误差逼近的赋值伪压缩映像的公共不动点迭代序列

在实一致光滑Banach空间中引入了一类新的逼近三个极值强伪压缩映象唯一公共不动点的带误差迭代序列,以及通过Petryshyn不等式讨论了该带误差迭代序列的收敛性.     

王夫之对义、利的层次性及相对性的分析

义利观问题是中国伦理思想史的核心问题之一，历代思想家都十分重视对它的研究。王夫之在总结、继承前哲义利思想的基础上，提出了自己的义利观，并对义利进行了层次性及相对性的分析，既继承了传统道义论的精华，又极大地丰富了中国古代伦理思想的内涵。     

Statistical and Combinatorial Aspects of Comparative Genomics*

Abstract. This document presents a survey of the statistical and combinatorial aspects of four areas of comparative genomics: gene order based measures of evolutionary distances between species, construction of phylogenetic trees, detection of horizontal transfer of genes, and detection of ancient whole genome duplications.     

GPS接收机P(Y)直捕方法研究

GPS接收机P(Y)直捕算法是基于存储的滑动相关搜索,并利用FFT将时频二维联合搜索变成时域一维搜索。同时,考虑位同步点已知的条件,接收资源池只需存储一段接收序列,缩短了捕获时间且利于硬件实现。仿真结果表明,多普勒频移为±5kHz时,所带来的峰值衰减为2dB左右,本地信号与接收信号对齐时出现明显的相关峰,很好地实现了捕获功能;提出了用重叠分段补零FFT操作实现并行相关,成倍降低了捕获时间;提出了利用位同步信息,避免了码极性翻转可能引起的信噪比损耗;针对码相位漂移,提出了优化捕获策略,可在短时间内完成重捕。     

汉语生成的基本过程

应用唯物辩证法方法，研究汉语生成的基本过程。该过程和认识论有直接的联系，两者的主体结构是相互对应的。汉语是在一个疑问词的两次大分裂中生成的，具体表现为感觉=知觉＋概念的形式。日常生活中总体上驾驭人们实践的东西，既不是单纯的感性认识也不是单纯的理性认识，而是中和了这两个方面的感觉。过去认识论和心理学的基本观点是错误的，鉴于思维和语言的关系，有可能在此项研究中得到修正。