随机变量投影的一种应用

利用随机变量的投影关系,定义了偏方差矩阵,从而导出了逆方差阵元素的一种形式在随机变量是正态的条件,它为判别条件独立性有方便的操作办法。     

用Powell法求颗粒尺寸分布

本文用最优化理论中的Powell直接法求激光粒度仪中的颗粒尺寸分布。数值模拟及对标准颗粒的实测表明,该算法的计算精度高,能较好地解决粒度仪通常存在的计算结果随初始设定值变化的多值性问题。     

In Memoriam: Emeritus Professor Henry Oliver Lancaster, AO FAA 1 February 1913 – 2 December 2001

The death, in Sydney, of Oliver Lancaster marks the end of an era in the histories of the Statistical Society of Australia, which (in its previous existence as the Statistical Society of New South Wales) he helped found in 1947, and of the Australian Journal of Statistics of which he was founding editor (1959–1971). Oliver Lancaster was Foundation Professor of Mathematical Statistics at the University of Sydney (1959–1978), where he spent his life as student and academic. During his academic career, he achieved scholarly distinction in at least four fields: mathematical statistics, medical and public health statistics, the history of medicine and of statistics, and statistical bibliography. With E.J.G. Pitman (1897–1993), M.H. Belz (1897–1975), E.A. Cornish (1909–1973) and P.A.P. Moran (1917–1988) he was part of a cohort of renowned Australian mathematical statisticians who laid the foundation of the glory days of Australian mathematical statistics. This obituary and tribute focuses on some of these aspects, within a broader historical picture.     

Confidence Intervals for Current Status Data

Abstract.  The likelihood ratio statistic for testing pointwise hypotheses about the survival time distribution in the current status model can be inverted to yield confidence intervals (CIs). One advantage of this procedure is that CIs can be formed without estimating the unknown parameters that figure in the asymptotic distribution of the maximum likelihood estimator (MLE) of the distribution function. We discuss the likelihood ratio-based CIs for the distribution function and the quantile function and compare these intervals to several different intervals based on the MLE. The quantiles of the limiting distribution of the MLE are estimated using various methods including parametric fitting, kernel smoothing and subsampling techniques. Comparisons are carried out both for simulated data and on a data set involving time to immunization against rubella. The comparisons indicate that the likelihood ratio-based intervals are preferable from several perspectives.     

举证责任分配理论之重构

从法律解释学的角度重新分析举证责任分配的本质。分析了举证责任分配的理论依据,阐释举证责任分配的理由;运用法律行为的相关理论证明举证责任分配的实体法解释的本质;从法律解释学的角度重新构造了举证责任分配。     

基于Poisson分布需求的两级零售系统最优订货策略

考虑由一个分销中心和N个零售商组成的两级分销库存系统．假设两级库存补充均采取周期订货策略，在每个零售商处的客户需求是随机的，且服从Poisson分布．当给定的某一货物缺货时，顾客愿意等待特别订货的概率是一确定的常数，在满足给定的客户服务水平的条件下，寻求该供应链总费用的最小化．对库存费用的计算进行了精确的推导，并且得到了最优的订货策略．最后给出了一个算例，根据所得到的公式由电子表格获得了两级最优库存水平．     

On the preservation of copula structure under truncation

The author characterizes the copula associated with the bivariate survival model of Clayton (1978) as the only absolutely continuous copula that is preserved under bivariate truncation.     

环渤海经济圈城市群能级梯度分布结构与区域经济发展战略研究

根据增长极理论、梯度转移理论和城市功能理论,构建了城市能级综合评价指标体系,并运用主成分分析法和SPSS软件对环渤海地区内的各城市进行了城市能级的综合评价,在此基础上又采用系统聚类分析法得到了环渤海经济圈城市群的层级分布结构,最后根据研究结果和相关理论提出了环渤海地区区域经济非均衡发展的建议和策略.     

科技期刊的信息工作

阐述了信息工作在科技期刊办刊实践中的地位,归纳出信息工作的内容,即作者信息、读者市场信息、审稿人信息、报道领域的动态信息,以及学术出版业内信息等,并指出科技期刊应通过日常工作、学术会议、互联网络等渠道发布和收集信息。     

汉语“噙含”“叼衔”义词的历时演变与共时分布

根据“嘴巴含”的方式,可以将“衔”分为“衔1”“衔2”,分别表示“全含”“半含”。前者与“含”“噙”构成“噙含”概念场,后者与“叼”构成“叼衔”概念场。表“噙含”义的词较多地分布在医籍文献中。“衔1”主要分布在诗词中。“噙”的产生对“含”造成一定冲击,但“含”在书面语中仍比较活跃。“含”“衔”“噙”均有从“东西放在嘴里,不咽下也不吐出→藏在里面;容纳→带有”的词义演变。“含”“衔”又均有从“藏在里面;容纳→隐藏”、从口部动作范畴到心理范畴的演变。表“叼衔”义,明代以前只有“衔2”。“叼”在明代始见,字形又作“雕”“刁”等。将历史文献与现代汉语方言分布相结合,推测“噙”发源于北方地区。“叼”很可能是“长江型”词,兴起于江淮流域而后往北向西扩散。