Bahadur efficiency and robustness of studentized score tests

We derive the exact Bahadur slopes of studentized score tests for a simple null hypothesis in a one-parameter family of distributions. The Student's t-test is included as a special case for which a recent result of Rukhin (1993, Sankhy Ser. A, 55, 159–163) was improved upon. It is shown that locally optimal Bahadur efficiency for one-sample location models with a known or estimated scale parameter is attained within the class of studentized score tests. The studentized test has an asymptotic null distribution free of the scale parameter, and the optimality of likelihood scores does not depend on the existence of a moment generating function. We also consider the influence function and breakdown point of such tests as part of our robustness investigation. The influence of any studentized score test is bounded from above, indicating certain degree of robustness of validity, but a bounded score function is needed to cap the influence from below and to ensure a high power breakdown point. We find that the standard Huber-type score tests are not only locally minimax in Bahadur efficiency, but also very competitive in global efficiency at a variety of location models.     

Whitehead test modules

A (right -) module is said to be a Whitehead test module for projectivity (shortly: a p-test module) provided for each module , implies is projective. Dually, i-test modules are defined. For example, is a p-test abelian group iff each Whitehead group is free. Our first main result says that if is a right hereditary non-right perfect ring, then the existence of p-test modules is independent of ZFC + GCH. On the other hand, for any ring , there is a proper class of i-test modules. Dually, there is a proper class of p-test modules over any right perfect ring.

A non-semisimple ring is said to be fully saturated (-saturated) provided that all non-projective (-generated non-projective) modules are i-test. We show that classification of saturated rings can be reduced to the indecomposable ones. Indecomposable 1-saturated rings fall into two classes: type I, where all simple modules are isomorphic, and type II, the others. Our second main result gives a complete characterization of rings of type II as certain generalized upper triangular matrix rings, . The four parameters involved here are skew-fields and , and natural numbers . For rings of type I, we have several partial results: e.g. using a generalization of Bongartz Lemma, we show that it is consistent that each fully saturated ring of type I is a full matrix ring over a local quasi-Frobenius ring. In several recent papers, our results have been applied to Tilting Theory and to the Theory of -modules.

     

Wiener's test for space-time random walks and its applications

This paper establishes a criterion for whether a -dimensional random walk on the integer lattice visits a space-time subset infinitely often or not. It is a precise analogue of Wiener's test for regularity of a boundary point with respect to the classical Dirichlet problem. The test obtained is applied to strengthen the harder half of Kolmogorov's test for the random walk.

     

服装隔热性能的测试与分析

利用暖体假人设备对影响人体热舒适的因素之一——服装热阻进行测试,得出单件服装热阻与组合服装热阻之间的相互关系,并分析不同穿着方式和环境温度对服装热阻的影响,为人体热舒适及其相关因素的研究提供参考依据。     

海芋凝集素的理化性质鉴定

采用葡聚糖凝胶１００（ＳｅｐｈａｄｅｘＧ－１００）从天南星科植物海芋（Ａｌｏｃａｓｉａｏｄｏｒａ（Ｒｏｘｂ）Ｃ．Ｋｏｃｈ）中分离出了一种凝集素（简称ＡＯＬ）．ＡＯＬ对兔血有较强的凝集效果,而对各类型人血的凝集活力较弱,在３种糖蛋白中,猪甲状腺球蛋白对ＡＯＬ的凝血活力抑制最强;ＡＯＬ对培养人外周血白细胞的转化率高达７９％,超过对照ＰＨＡ的转化率;用ＳｅｐｈａｄｅｘＧ－２００柱测得ＡＯＬ的相对分子质量为３１５００;用癌细胞体外培养的方法证明了ＡＯＬ对肺腺癌细胞株Ｐ１８具有较强的直接杀伤能力．此外还发现ＡＯＬ对温度（８０℃以下）、变性剂（盐酸胍和脲）有较高的稳定性,在ｐＨ６～１０的范围内相当稳定．     

脂多糖—被动血凝试验早期诊断伤寒的价值

为评估脂多糖－被动血凝试验（ＬＰＳ－ＰＨＡ）早期诊断伤寒的应用价值,对病程不同的１０２例伤寒患者用ＬＰＳ－ＰＨＡ、肥达反应和细菌培养进行检测,２００例非伤寒发热患者作为对照。结果显示：伤寒患者病程第一周ＬＰＳ－ＰＨＡ阳性率为８０％（２４／３０）,第二周达９７７３％（４３／４４）;细菌培养阳性率２４５１％;肥达反应的伤寒与副伤寒鞭毛抗体交叉阳性率达３７２５％;对照组ＬＰＳ－ＰＨＡ有２％的假阳性。结果表明：ＬＰＳ－ＰＨＡ可早期、简便及快速诊断伤寒,有较高的敏感性和特异性。     

一种新的故障诊断专家系统

为了在新的环境中建造一个更加有效的故障诊断专家系统,在一般故障诊断专家系统的基础上,根据智能模拟器综合测试的特点和故障诊断要求,提出了一种新的专家系统知识分类和表示的方法．按照这种方法,利用ＨＰＶＥＥ（可视化工程环境）编程语言在Ｗｉｎｄｏｗｓ平台上建造了一个实用系统．该系统的仿真运行得到了很好的结果,故障诊断率达到１００％,诊断速度完全满足系统要求．     

中国货币政策中间目标变量的选择

利用互协关系检验（ｃｏ－ｉｎｔｅｇｒａｔｉｏｎｔｅｓｔｓ）的方法,考察我国的货币总量Ｍ０、Ｍ１和Ｍ２与其他主要宏观经济变量之间是否存在一种长期的稳定关系．结果表明,Ｍ２与工业生产总值ＧＩＰ、企业１年期短期名义贷款利率ｒ之间存在着长期稳定关系,由此估计出的货币需求函数有较好的统计性质,因此,Ｍ２应是我国的货币政策中间目标变量的首选对象．     

加工蜗轮体半园凸台夹具的设计计算

对蜗轮体零件进行较详知的分析基础上,运用尺寸链原理和六点定位原理对蜗轮体半园凸台夹具作了定位误差分析和定位精度计算,证实了该夹具设计的可靠性与合理性。