Inequalities for a distribution with monotone hazard rate

Summary LetX be a positive random variable with the survival function and the densityf. LetX have the moments μ=E(X) and μ₂=E(X ²) and put ε=|1-μ₂/2μ²|. Put and . It is proved that the following inequalities hold: , for allx>0, ifq(x) is monotone and that , ifq ₁ (x) is monotone. It is also shown that Brown's inequality which holds wheneverq ₁ (x) is increasing is not valid in general whenq ₁ is decreasing. The Institute of Statistical Mathematics     

LED背光显示器对不同年龄人视网膜照度、节律效应和蓝光危害的影响

研究了视网膜照度、节律效应和蓝光危害随年龄的变化规律.采用光谱仪测量了4款常见发光二极管背光显示器显示白色和蓝色时的归一化光谱分布,然后结合不同年龄人眼的晶状体透射谱,计算了视网膜照度因子、节律因子和蓝光危害能效因子,得到三者与年龄的变化规律.研究表明:对于同一发光二极管背光显示器,视网膜照度因子、节律因子和蓝光危害能效因子均随年龄的增加而显著减小;同一人眼的视网膜照度因子随显示器类型的变化较小;对于年轻人,不同类型显示器的蓝光危害能效因子和节律因子差异明显,特别是显示蓝色时,但是,对于老年人,不同类型显示器的蓝光危害能效因子和节律因子差异较小.     

Toxicity analysis of second use lithium-ion battery separator and electrolyte

Pyrolysis gas chromatography-mass spectrometry (Py-GC-MS) test, smoke toxicity analysis and mouse biological toxicity test were carried out on the second use lithium-ion battery separator and electrolyte. It was found that the types of cracked products of separator and electrolyte under different state of health (SOH) were basically the same, mainly phosphoryl fluoride (POF₃) and long-chain F-containing alkanes, alcohols and esters. The content of POF₃ in the cracked product increases as the SOH increases. The toxic gas components released after the separator and the electrolyte are completely burned mainly include CO, CO₂, and HF. The HF content decreased as the battery SOH decreased, from 101.6 mg/g of the 100% SOH battery to 44.1 mg/g of the 65% SOH battery. In the biological toxicity test, all the mice were found to stop running, close eyes, shed tears, and have shortness of breath. After the test, only 65% SOH and 100% SOH mice recovered their body weight to the pre-experimental average state and gained weight.     

有害废弃物处理站选址近似帕累托集合的有效产生

本文研究有害废弃物处理站选址问题。在Ravi等研究的MAX—MIN问题的基础上,考虑了处理站点容量的因素,建立了双目标优化问题,并给出了一个多项式时间算法,该算法能够产生一个（1,ε）一近似帕累托解集合。所得结论对实际的有害废弃物处理站选址决策具有理论意义,同时也完善了已有相关研究结果。     

Ⅰ型极值分布随机变量的随机比较

研究了两个相互独立的Ⅰ型极大值分布随机变量间的随机序,似然比序,危险率序及凸序之间的相互关系,给出了两个相互独立但不同分布的随机变量满足各种随机序时其分布所含参数间的相应关系．文中也给出了两组相互独立但不同分布的随机变量极值间在一般随机序下的大小关系．     

Analytic hierarchy based policy design method (AHPo) for solving societal problems that require a multifaceted approach

This paper proposes an AHP based statistical method for the design of a comprehensive policy alternative, AHPo, for solving societal problems that require a multifaceted approach. In the proposed method, criteria relevant to the goal or focus are structured in the same way as in the conventional AHP. However, these two methods are quite different in regard to the method of quantification. The new method predicts or analyses the impact of the policy alternatives on the overall goal. In other words, it predicts or rationalizes the way people appreciate the situation in which an alternative is adopted and implemented. It will serve as a tool for supporting (especially political) decision making.     

相依删失下基于连接函数的参数模型的统计分析

在临床数据的收集中,由于竞争性风险或者病人的退出可能导致数据删失.删失数据的统计分析大多是基于独立删失的假定进行的.而实际情况中,数据的删失往往是非独立的,即删失变量和失效时间变量是相关的.相依删失使得原本复杂的删失数据处理变得更加困难.在本文中,假定删失变量和失效时间变量的联合分布可以用它们边际分布的连接函数函数表示,在给定连接函数下,得到了比例风险模型的极大似然估计.模拟计算显示,如果删失假定成立,本文所采用方法比独立删失假定下的估计方法更准确.     

研发外包中考虑服务商道德风险与资金限制的支付契约

针对研发外包中服务商道德风险防范与激励问题,在考虑服务商自有资金限制下,设计了研发外包支付契约,分析了契约的特性。研究表明,服务商自有资金的多少会影响支付契约的激励效果。当服务商自有资金很少时,支付契约对道德风险的防范与激励效果较差。当服务商自有资金达到一定量时,随着自有资金的增多,支付契约的激励效果越来越强,特别的当服务商自有资金超过很大一个量时,支付契约能激励服务商实现系统最优的工作努力程度。     

金融风险度量的建模理论与方法的一些进展及其应用

本文综述了金融风险度量的建模的理论和方法最近的发展。介绍了常用的矩度量和现代风险度量技术,包括在险价值VaR、预期不足ES和期望分位数Expectile等现代风险度量技术和方法,以及复杂风险因素下的非/半参数风险度量方法。违约概率和违约相关性是信用风险度量中的两个基本概念,本文还介绍了信用违约风险中违约概率和违约相关性的常用度量方法。最后,通过一些应用案例介绍如何在金融风险度量中应用现代风险度量技术度量和识别风险。