两参数Weibull总体寿命试验可靠性抽样方案

该文给出了产品失效时间服从两参数Weibull总体的β型计量抽样检验程序及表。该抽样方案适用于形状参数和特征寿命未知,Ⅰ型和Ⅱ型混合截尾寿命试验。批质量用批中产品在规定任务时间t_m的可靠性表示。抽样表适用于样本大小3≤n≤10,截尾失效数为3≤r_c≤n的场合。接收准则基于最好线性无偏估计。     

负三项分布

在负二项分布、二项分布以及多项分布基础上提出了负三项分布,并且给出了负三项分布的概念,并求出了它的概率分布、数学期望和方差.     

一类不同分布NA列的粗略大偏差

在前人关于独立同分布和同分布NA列的粗略大偏差的基础上得到了一类不同分布NA列的粗略大偏差．     

再结晶对沉淀粒子尺寸及其分布的影响

本文通过碳萃取复型样品的电镜观察,研究了再结晶对沉淀粒子尺寸及其分布的影响。当10MnNb钢在1073—1373K温度范围内热压缩后等温停留时,NbC沉淀粒子随等温时间延长而粗化。在未再结晶期间,粒子尺寸分布曲线呈单峰;在再结晶期间,粒子粗化速率加快,改变了原来的粒子尺寸分布,使尺寸分布曲线呈双峰。再结晶时形变基体、再结晶前沿界面和再结晶晶粒三个区域中的粒子粗化机制不同,其平均尺寸和尺寸分布也不同,它们的叠加使尺寸分布曲线呈双峰。     

ON TESTS FOR LOCAL EXTREMUM POINTS IN PROJECTION PURSUIT

ＯＮＴＥＳＴＳＦＯＲＬＯＣＡＬＥＸＴＲＥＭＵＭＰＯＩＮＴＳＩＮＰＲＯＪＥＣＴＩＯＮＰＵＲＳＵＩＴＺＨＡＮＧＪｉａｎ；ＬＩＧｕｏｙｉｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈ...     

OPTIMAL AND ROBUST DETECTION OF MULTIVARIATE OUTLIERS FOR ELLIPTICALLY CONTOURED DISTRIBUTION

The outlier problem for a multivariate elliptically contoured distribu-tion's random sample with mean slippage is defined and the likelihood ratio test ofthe null hypothesis,in which there are no outliers,versus the alternative hypothesis,in which some outliers are present,is derived.We show that the testing problemis invariant under a group of affine transformations and obtain the maximal in-variance which is equivalent to the likelihood ratio testing statistic.Furthermore,the non-null and null density distribution functions of the likelihood ratio testingstatistic are derived.We find that the null density distribution function of thetesting statistic is robust and the density distribution function is a monotonicallikelihood ratio function of the maximal invariance.Therefore,the likelihood ratiotest is a uniformly most powerful invariant test among the group of affine transfor-mations.In the last section,we give an example of detecting multivariate outliersin elliptically contoured distribution.     

固液界面高分子吸附的格点密度泛函

提出一个固液界面高分子吸附的格点密度泛函理论。该理论解释了相邻格点的相互作用以及由高分子链连接导致的长程相关性。在均相混合Helmholtz自由能和简单加权方法的基础上,构建了一个包含局域和非局域贡献的Hemholtz自由能泛函。该理论所预测的密度分布与计算机模拟结果吻合很好,与Scheutjens-Fleer理论结果相比有明显的改进。     

Toxic Plant Resources in Panxi Area

Panxi Area is abundant in plant resources, among which toxic plants are of great value in terms of exploitation. This paper is an initiative study （via field as well as literature investigation） of the categories, distributions, and reserves of toxic plant resources in Panxi Area. The study reveals that there are 51 families （210 species） of toxic plants evenly distributed in Panxi Area, of which more than 40 species grow in all counties in the area, and more than 14 species total a reserve more than 1.0×10^5 kg. These toxic plants are of great applications to medicine, gardening, biopesticide industry, environmental engineering, and oil manufacturing. Rhododendron molle, Anisodus acutangulus, Arisaema erubesocens, Stellera chamaejasme, Rhytolacca acinosa, Rheum officinale, and Azadiralta indica etc are the typical toxic plants with great value of exploitation in Panxi Area.     

几个重要不等式的概率证明

运用概率的方法证明一些重要的不等式，说明了概率方法在应用上的广泛性     

二参数广义正则随机事件流

给出对二参数广义正则随机事件流的定义，讨论它的基本性质，给出二参数广义正则可加随机件流的母函数的一般形式。