Smooth Estimation of the Reliability Function

Problems with censored data arise quite frequently in reliability applications. Estimation of the reliability function is usually of concern. Reliability function estimators proposed by Kaplan and Meier (1958), Breslow (1972), are generally used when dealing with censored data. These estimators have the known properties of being asymptotically unbiased, uniformly strongly consistent, and weakly convergent to the same Gaussian process, when properly normalized. We study the properties of the smoothed Kaplan-Meier estimator with a suitable kernel function in this paper. The smooth estimator is compared with the Kaplan-Meier and Breslow estimators for large sample sizes giving an exact expression for an appropriately normalized difference of the mean square error (MSE) of the two estimators. This quantifies the deficiency of the Kaplan-Meier estimator in comparison to the smoothed version. We also obtain a non-asymptotic bound on an expected ₁-type error under weak conditions. Some simulations are carried out to examine the performance of the suggested method.     

优选西部地区吸引外资的新路径

优选西部地区吸引外资的路径将在很大程度上影响西部大开发的顺利实施。坚持以事实为依据 ,指出西部大开发引资中的“误区”和“雷区” ,提出具有科学性和可操作性的吸引外资、促进西部大开发的新思路与对策     

System Reliability Assessment through p Minimal Paths in Stochastic Case with Backup-routing

For a stochastic-flow network in which each arc has several possible capacities, we assess the probability that a given amount of data are sent through p(p ≥ 2) minimal paths simultaneously subject to time threshold. Such a probability is named the system reliability. Without knowing all minimal paths, a solution procedure is first proposed to calculate it. Furthermore, the backup-routing is established in advance to declare the first and the second priority p minimal paths in order to enhance the system reliability. Subsequently, the system reliability according to the backup-routing can be computed easily.     

我国有色金属期货波动溢出效应研究——以SHFE的铜和铝为例

金融市场中的波动溢出效应研究对资产组合配置、金融风险防范以及相关政策制定具有重要意义。鉴于此,以上海期货交易所(SHFE)的期铜和期铝为例,运用多变量GARCH-BEKK模型研究了我国有色金属期货之间的波动溢出关系,并分别在标准残差服从正态分布和学生t-分布假设下,进行模型拟合效果检验。研究结果表明,期铜和期铝收益率序列存在显著的条件异方差特征,两者之间存在较强的双向波动溢出效应,t-分布假设下GARCH-BEKK模型拟合效果更好。     

对选项体育课塑造大学生人文素质的认知调查与分析

运用文献资料、问卷调查等方法,对选项体育课塑造大学生人文素质的认知状况进行研究分析,结果表明:我校大学生对选项体育课培养当代人文素质给予极大关注,表现出较高的期望值;选项课与基础课对大学生人文素质影响的认知结果呈现一定的差异性,前者更能得到学生的普遍认同;选项体育课在实施专项教学过程中,人文教育含量尚显不足,导致学生在对部分人文素质发展的主观期待上不够平衡;“人文篮球”、“人文足球”、“人文乒乓”等人文体育理念将是指导选项体育课深化改革的致力点。     

GOODNESS OF FIT FOR THE BINOMIAL DISTRIBUTION

Goodness of fit testing for the binomial distribution can be carried out using Pearson's X²_p statistic and its components. Applications of this technique are considered and compared with recently suggested empirical distribution function tests. Diagnostic use of components is discussed.     

网络环境下图书馆人力资源队伍建设

论文分析了网络环境下的现代化图书馆对图书馆专业人员和管理人员知识与能力要求。在此基础上提出了图书馆人力资源队伍建设的基本原则 ,探讨了图书馆人力资源开发的若干对策。     

一类p.n.p.矩阵的谱性质

本文在[1]的基础上讨论了幂p.n.p.矩阵的谱性质。     

推广的(0,p(D))整插值

研究了等距结点上的整插值问题,用解微分方程的方法,给出了它在Bσ2中有唯一解的充要条件和插值函数的明显表达式。     

Covariance analysis and associated spectra for classes of nonstationary processes

In 1951, Cramér introduced a class of nonstationary processes. This broad class of processes contains the important harmonizable and stationary classes of processes. The Cramér class can have additional structure imposed upon it through Cesàro summability considerations. These refined Cramér classes, termed (c,p)-summable Cramér, have recently been considered by Swift (in: M.M. Rao (Ed.), Real and Stochastic Analysis: Recent Advances, CRC Press, Boca Raton, FL, 1997, p. 303). In this paper, the relationship between the (c,p)-summable Cramér classes and the (KF,p) classes of processes introduced by Rao in 1985 is considered. The (KF,p) classes of processes are a generalization of the class of processes considered by Kampé de Feriet and Frenkiel. A continuity theorem for the (KF,p) classes is obtained. This result yields a spectral representation for the (KF,p) classes. Some (KF,p) class processes are shown to arise as the solution to a difference equation obtained from a linear model of a noisy communication channel.