A Design of Attributes Double Sampling Plans for Three-class Products

In this article, a new attributes double sampling plan for three-class products (ADSPTP) is presented, and the corresponding operating characteristic function is constructed based on the given procedure of performing ADSPTP. Average sample numbers (ASN) for complete inspection and curtailed inspection of the second sample are derived and the extreme point is discussed on the three-dimensional ASN surface. In addition, the differences arising from different parameters are studied. Sampling plans are designed by a nonlinear optimization model. Finally, numerical examples and discussions are given to illustrate the obtained results, and tables of the designed plans under various conditions are provided.     

中国金融对经济增长贡献的效率研究——金融发展的阶段划分及评价

通过聚类分析将改革开放以来的中国金融-经济系统分为传统金融时期、金融转型初期、金融转型中期三个阶段,然后选取资本存量、劳动力、金融机构人民币资金来源、M2、贷款余额作为投入变量,GDP作为产出变量,采用非径向超效率分析模型测度中国金融效率。研究表明:中国的金融-经济系统存在结构变化,金融的绝对效率较低,但相对效率水平较高,中国已经顺利完成了金融体系的转型。     

Another look at the robustness of colton's model for comparing two medical treatments

The robustness of an extended version of Colton's decision theoretic model is considered. The extended version includes the losses due to the patients who are not entered in the experiment, but require treatment while the experiment is in progress. Among the topics considered are the effects of risk of using a sample size considerably less than the optimum, use of an incorrect patient horizon, application of a modified loss function, and use of a two point prior distribution. It is shown that the investigated model is robust with respect to all these changes with the exception of the use of the modified prior density.     

积分变换求梁的变形

本文从求解梁挠度的二阶差分方程出发，通过Z变换，最后推导出计算挠度和转角的简单公式，使计算过程简化。对于变截面梁和复杂受载下，此法尤为简便。同时，这也是处理离散参数的数学方法—Z变换在力学中应用的初步尝试。     

在公正与效率之间:证人出庭作证制度的困境和出路

证人出庭作证问题,涉及证明标准与法律假设、法律规则与法律标准、诉讼效率与诉讼成本、自利偏见与社会效应等诸多方面。证人不出庭作证的规范依据仍然存在、证人出庭作证的权利和义务不对等、配套措施不完善等原因,导致证人不愿意出庭。美国辩诉交易制度在很大程度上减少了开庭刑事案件的数量,其关于书面陈述的规定也减少了证人出庭作证的需求,在一定程度上实现了被告人人权保护和公共利益的平衡,值得借鉴。完善证人出庭作证制度,应以案件"客观需要"为标准,以追求事实真相为出发点,以人权保护和人性回归为落脚点,遵循限制性处罚原则和禁止利益冲突原则,提高相关规定的可操作性。因此,不宜盲目追求证人高出庭作证率。     

Testing variance components in balanced linear growth curve models

It is well known that the testing of zero variance components is a non-standard problem since the null hypothesis is on the boundary of the parameter space. The usual asymptotic chi-square distribution of the likelihood ratio and score statistics under the null does not necessarily hold because of this null hypothesis. To circumvent this difficulty in balanced linear growth curve models, we introduce an appropriate test statistic and suggest a permutation procedure to approximate its finite-sample distribution. The proposed test alleviates the necessity of any distributional assumptions for the random effects and errors and can easily be applied for testing multiple variance components. Our simulation studies show that the proposed test has Type I error rate close to the nominal level. The power of the proposed test is also compared with the likelihood ratio test in the simulations. An application on data from an orthodontic study is presented and discussed.     

Sequential estimation problems for negative exponential populations

The literature on sequential estimation problems for negative exponential populations has been reviewed here, We attempt to bring in all the published and unpublished materials known to us in a fairly coherent fashion. Both the concepts and theoretical findings are discussed.     

Testing for exponentiality against monotone failure rate average alternatives

We propose a test for exponentiality against the class of non-exponential distributions having monotone failure rate averages. The test statistic, which is a U-statistic and hence asymptotically normally distributed, is much simpler than its competitors yet compares favorably with them in efficiency and power comparisons.     

城市人口密度、国内市场规模与就业增长

我国经济“高增长、低就业”现象的原因在于我国贸易成本过高，国内市场规模较少。解决我国就业问题的关键在于减少行政干预，顺应市场要求，促进人口在空间上的适度集中，提高人口密度，提高消费效率，扩大市场规模。应进一步完善城乡一体的户籍制度，完善整合城乡劳动力市场，提高要素流动能力等。     

巧妙利用小组合作学习实现英语单元复习的高效性

比起形式丰富多彩的新授课,学生经常感到复习课枯燥乏味。为了激发学生的学习热情,在英语单元复习课上,采用小组合作学习的方式,引导学生开展各种各样的游戏和竞赛活动,使学生在宽松、愉悦的学习氛围中成功地将知识内化吸收,从而实现英语单元复习的高效性。