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 0346089660312/xxlarge8466.gif" alt="Lscr" align="MIDDLE" BORDER="0">₁-type error under weak conditions. Some simulations are carried out to examine the performance of the suggested method.     

二十世纪前五十年中国农村小说概述

阅读 2 0世纪前 50年中国农村小说 ,从农民的心理历程、生存状态、精神特质等方面入手 ,概览中国农村小说 ,寻求历史的内在的联系及规律     

新经济与武汉21世纪发展战略

武汉作为华中地区最大的中心城市 ,其城市功能不断得到发挥。在新世纪到来之际 ,武汉必须面对初露端倪的新经济的挑战 ,制定追赶世界潮流的 2 1世纪发展战略 ,以树立进一步提升城市功能的目标 ,为湖北省、华中地区乃至全国作出更大贡献     

S—完全正则与S—完全正规空间

文章引入了S－完全正则（S3．5）空间与S－完全正规（S5）空间的概念,讨论它们各自的特征性质以及与其他Si－空间的相互关系。     

Adjustment mechanisms and intergenerational actuarial neutrality in pension reforms

In the context of the reform of defined benefit pension systems under population ageing, we focus on the introduction of automatic adjustment mechanisms linked to life expectancy. Our goal is to establish a relationship between changes in the key parameters of the pension system and changes in life expectancy, applying the principle of intergenerational actuarial neutrality. For a defined benefit pension scheme, we first obtain the fundamental adjustment equation and then, for particular cases, we derive different designs of automatic adjustment mechanisms depending on the involved parameter. We include a numerical application only for illustrative purposes.     

Migration as a source of growth: The perspective of a developing country

This paper analyses the dynamics of migratory flows and growth in a developing economy. We show that when workers freely choose their location, some natives can rationally decide to return to their home country after they have accumulated a certain amount of knowledge abroad, while some prefer to stay permanently in the same economy (either at home or abroad). We point out that worker mobility can have an expansionary effect on the developing economy. Moreover, we show that in the long-run, as the sending economy develops, fewer natives are likely to emigrate and more migrants are likely to return. Received: 7 December 2000/Accepted: 25 April 2001     

蓝牙E0加密算法安全分析

蓝牙的E0加密算法是利用四个移位序列进行延迟并组合生成密流序列。利用其密流序列的相关性对算法进行攻击。攻击过程是基于给定有限的输出加密流,重新导出移位序列的初始值。基本攻击和优化攻击的时间复杂度分别为O(283)和O(278)。最后给出了该攻击手段的E0算法的改进方案和实验数据。     

0-1规划在投资决策中的应用

将0-1规划原理运用到产业项目投资决策过程中,能较好解决多项目取舍问题。0-1规划模型 不仅能从静态的角度分析各项目对资源的占用情况,还能结合实际情况,考虑随时间变化,各项目对资源的占用, 合理分配企业资源。     

一类下Hessenberg(0,1)-矩阵行列式的上界

文章讨论最多包含n-1个零元，且没有零元的行单独出现，有零元的列不会单独出现的n阶下Hesserlberg(0，1)-矩阵，并给出了该类矩阵行列式的上界．