新见北齐《贾进墓志》考释

2008年出土于河南安阳的北齐《贾进墓志》,记载了墓主的籍贯、先祖、仕履、性情和卒葬地等情况,具有较高的史料价值。通过对墓志的整理和分析,我们发现,墓志中存在不少疑难问题,如冒袭先祖以抬高身世;＂尔朱雕阳王＂史无记载,可能有误;贾进官职从＂郎中令＂跃升＂车骑大将军＂,可能不实。     

关于矩阵方程AXB+CYD=F的解

本文用分块矩阵的方法给出了矩阵方程AXB CYD=F有解的判别方法及求解方法。     

关于加强社会主义文化法制建设的若干思考

加入WTO后,文化法制建设的任务更凸现在我们面前。目前,我国的文化法规尚未形成一个完整的科学体系,大法少,一些重要的文化领域立法存在空白;文化执法存在“有法不依,执法不严”的现象;文化法制人才严重短缺;文化法律、法规的普及、宣传和文化法律意识亟待加强。     

Testing multiple slippages

A class of invariant Bayes rules is derived for testing homogeneity of k (≥2) different populations against (^k_t) slippage alternatives that some (unknown) subset of size t of the given populations has parameter larger than the remaining k-t, where t is a given integer between 1 and k-1. For a similar problem in nonparametric situations, locally best tests based on ranks are derived.     

Young chains and rank orders

Savage (1956) obtained an easily applied necessary condition for the admissibility of two-sample rank tests under alternatives having a monotone likelihood ratio. This condition is: rank order Z is more likely than rank order Z' if the Z-path is above the Z'-path in Young's lattice. This condition is easily applied and allows not only the proof of the inadmissibility of the Wilcoxon test under Lehmann alternatives but it can also be used to construct explicitly uniformly better tests. For Lehmann alternatives, we obtain another necessary criterion on rank orders which makes use of dominance.     

Minimal representation of a semiorder

In a multicriteria decision problem it may happen that the preference of the decision-maker on some criterion is modeled by means of a semiorder structure. If the available information is qualitative, one often needs a numerical representation of the semiorder. We investigate the set of representations of a semiorder and show that, once a unit has been fixed, there exists a minimal representation. This representation can be calculated by linear programming and exhibits some interesting properties: all values are integer multiples of the unit and are as scattered as possible in the sense that, in the set of all representations contained in the same bounded interval, the minimal representation is a representation for which the minimal distance between two values is maximal. The minimal representation can also be interpreted as a generalisation of the rank function associated to linear orders.     

A NEW PROCEDURE FOR ASSESSING LARGE SETS OF CORRELATIONS

In this paper, a new test of the hypothesis that all the correlations between a set of variables are zero is proposed. It is based on the asymptotic behaviour of the largest of the observed correlation coefficients. Here “asymptotic” refers to the size of the correlation matrix considered. Simulations show that the critical levels, calculated using the asymptotic theory, are conservative but quite accurate, even for small correlation matrices.     

基于序数信息的博弈理论

在许多社会或政治科学的问题中, 个人的主观偏好信息往往是通过定性分析得到的, 难 以表示成效用形式, 但却可以用序数形式来表示. 本文基于决策者对策略的偏好序数信息而不 是支付函数或效用水平, 讨论了一种新的博弈理论或模型, 给出了若干序均衡的概念, 并进行 了例示分析. 这种基于序数信息的博弈理论可以看作是现有基于支付函数博弈理论的推广和 补充.     

Comparing Survival Times for Treatments with Those for a Control Under Proportional Hazards

Inferences for survival curves based on right censored data are studied for situations in which it is believed that the treatments have survival times at least as large as the control or at least as small as the control. Testing homogeneity with the appropriate order restricted alternative and testing the order restriction as the null hypothesis are considered. Under a proportional hazards model, the ordering on the survival curves corresponds to an ordering on the regression coefficients. Approximate likelihood methods, which are obtained by applying order restricted procedures to the estimates of the regression coefficients, and ordered analogues to the log rank test, which are based on the score statistics, are considered. Mau's (1988) test, which does not require proportional hazards, is extended to this ordering on the survival curves. Using Monte Carlo techniques, the type I error rates are found to be close to the nominal level and the powers of these tests are compared. Other order restrictions on the survival curves are discussed briefly.