层次分析法在成套设备招标评标中的应用

介绍层次分析法的择优原理及其在成套设备招标评标中的应用;给出计算机软件包,以克服层次分析法计算量过大的缺点。     

论西方政治哲学的理想社会观

本文以马克思主义理想社会观对西方政治哲学的理想社会观进行了评析,认为西方政治哲学的价值理性主义和人文主义是构建理想社会的政治思维,理想社会体现了智性主义和人文主义的政治传统,理想社会建构关注财产关系的安排,制度主义是西方政治哲学理想社会的生长点.     

《全宋诗》遗珠

清乾隆时著名诗人、宋诗专家厉鹗,继宋计有功《唐诗纪事》后,从宋人文集、诗话、笔记以至山经、地志等各种珍秘典籍中搜集宋人诗歌及有关故事、事实,用二十余年功夫辑集三千多家,写成《宋诗纪事》,为编撰《全宋诗》提供了大量难得的资料。北京大学古文献研究所编的《全宋诗》,从《宋诗纪事》中采录得很多,但由于编者万虑一失,核对不够,尚有"遗珠",本文为"遗珠"的第三部分。     

On the existence of maximum likelihood estimates for weighted logistic regression

The problems of existence and uniqueness of maximum likelihood estimates for logistic regression were completely solved by Silvapulle in 1981 and Albert and Anderson in 1984. In this paper, we extend the well-known results by Silvapulle and by Albert and Anderson to weighted logistic regression. We analytically prove the equivalence between the overlap condition used by Albert and Anderson and that used by Silvapulle. We show that the maximum likelihood estimate of weighted logistic regression does not exist if there is a complete separation or a quasicomplete separation of the data points, and exists and is unique if there is an overlap of data points. Our proofs and results for weighted logistic apply to unweighted logistic regression.     

《全清词·雍乾卷》辑补74首

《全清词·雍乾卷》共收词人近1000家，词作35000多首。然由于清代词籍的复杂性，遗漏在所难免。今翻检清人诗文集及地方志等，为之补录4家词作74首，以备续编采择之需。     

Complete moment convergence of widely orthant dependent random variables

It is known that the dependence structure of widely orthant dependent (WOD) random variables is weaker than those of negatively associated (NA) random variables, negatively superadditive dependent (NSD) random variables, negatively orthant dependent (NOD) random variables, and extended negatively dependent (END) random variables. In this article, the results of complete moment convergence and complete convergence are presented for WOD sequence under the same moment conditions as independent sequence in classical result (Chow 1988 Chow, Y. (1988). On the rate of moment convergence of sample sums and extremes. Bull. Inst. Math. Acad. Sin. 16(3):177–201. [Google Scholar]).     

Kiefer–Wolfowitz algorithm under quasi-associated random errors

In this article, we study the algorithm of Kiefer–Wolfowitz underquasi-associated random errors. We establish the complete convergence and obtain an exponential bound. Additionally, we build a confidence interval for the minimum. Numerical examples are sketched out to confirm the theoretical results and show the accuracy of the algorithm.     

AN ALTERNATIVE PARAMETRIC APPROACH FOR DISCRETE MISSING DATA PROBLEMS

We propose an iterative method of estimation for discrete missing data problems that is conceptually different from the Expectation–Maximization (EM) algorithm and that does not in general yield the observed data maximum likelihood estimate (MLE). The proposed approach is based conceptually upon weighting the set of possible complete-data MLEs. Its implementation avoids the expectation step of EM, which can sometimes be problematic. In the simple case of Bernoulli trials missing completely at random, the iterations of the proposed algorithm are equivalent to the EM iterations. For a familiar genetics-oriented multinomial problem with missing count data and for the motivating example with epidemiologic applications that involves a mixture of a left censored normal distribution with a point mass at zero, we investigate the finite sample performance of the proposed estimator and find it to be competitive with that of the MLE. We give some intuitive justification for the method, and we explore an interesting connection between our algorithm and multiple imputation in order to suggest an approach for estimating standard errors.     

Tolerance‐based error reduction in multi‐agent bioassays

Some degree of error is inevitable in multi‐agent bioassays regardless of design or measurement technology. Estimation error can be reduced post facto by exploiting the matrix partial ordering of the bioassay survival estimates. The standard method for this is order‐restricted regression (ORR). If the joint action of the bioassay agents admits a tolerance‐based interpretation, additional structure beyond matrix partial ordering is available, leading to a new method of error reduction. This tolerance‐based error reduction (TBER) procedure almost always outperforms ORR. Like ORR, TBER applies to complete factorial bioassay designs and, using weighting, to incomplete designs.     

《全宋诗·黎廷瑞诗》点校献疑

《全宋诗·黎廷瑞诗》在整理中的标点及校勘尚有若干问题,作为献疑,归纳为15条,以供讨论。其中包括整理时因工作底本(《四库全书·鄱阳五家集·芳洲集》)之误,点校者不察,沿袭底本之误而误者,如"铜狄摩"误作"铜狄磨"等,大多属音形相同或相似而误。有标点断句之误者,如《东坡志林》,误作"东坡《志林》";又如杂言体《禽言》中的"衍字"、"字的倒置"以及标点断句之误等。此外,有改动底本未出校者。文中均一一作了辨证。