随机Fuzzy子集理论初步

本文认为现行的Fuzzy子集理论有缺点,不能真实、准确地描述现实世界,因此有必要进行改进。我们将用随机Fuzzy子集理论中的随机隶属过程代替Fuzzy子集理论中的隶属函数,将客观世界中的确定性现象、随机现象和模糊现象结合起来进行研究。     

极限证明初探

本文结合教学中正反两方面的例子,从理论上较深入地讨论了如何理解极限定义和掌握极限证明的方法,并回答了证明中可能出现的问题.     

关于映象面积为有界的解析函数的几个问题(Ⅱ)

本文是文[1]的继续,在本文中,我们首先改进了文[1]中的定理4,并证明了本文中,关于平均模的定理1与定理2。在文[2]中有如下关于|z|o,那么W=f(z)的反函数在圆域|W|≤(aR)~z/6M内有单值解析的分支z=g(w),满足g(o)=o。本文将对S_m类函数进行研究,得到相应的两个定理。     

A note on the joint distribution of correlated quadratic forms

In the present paper, the authors obtained exact and asymptotic expressions for the joint distribution of correlated quadratic forms when the underlying distribution is a multivariate normal.     

清朝前期河湟回藏贸易略论

明末清初,官方专营的“茶马互市”衰落之后,由河湟回族为主导的民间群众性回藏贸易迅速崛起,遂成为藏区与中原各族间经济往来的主流。这种有着特殊内容的经济互动关系,促进了新兴回藏商业城镇的崛起及回族商业社区的形成和巩固;更为重要的是,它在加强藏区与内地的经济交流、促进藏区经济繁荣、消除某些政治上的离心力,则是其它事业无法取代的。     

论现代教学评价的功能与特点

探讨和分析现代教学评价的8大功能及其5大特点,为现代教学评价提供更为科学的和全面的理论基础和依据,从而使教学评价更具可行性和有效性。     

执行功能和心理理论关系的发展研究

自1996年 Russell首次提出关于执行功能和心理理论关系的理论以来,二者关系的发展研究已成为近年来发展心理学研究的一个热点。一种观点认为,执行功能的发展是心理理论的基础;另一种观点认为,心理理论中的元表征能力的发展是执行功能的前提;更多的观点认为,心理理论和执行功能的发展均依赖于某种共同的认知基础。但由于已有的研究很少涉及到对这两种能力早期形成的婴儿期的研究,故还难以准确界定二者之间复杂的相互关系。     

Approximation of power in multivariate analysis

We consider the calculation of power functions in classical multivariate analysis. In this context, power can be expressed in terms of tail probabilities of certain noncentral distributions. The necessary noncentral distribution theory was developed between the 1940s and 1970s by a number of authors. However, tractable methods for calculating the relevant probabilities have been lacking. In this paper we present simple yet extremely accurate saddlepoint approximations to power functions associated with the following classical test statistics: the likelihood ratio statistic for testing the general linear hypothesis in MANOVA; the likelihood ratio statistic for testing block independence; and Bartlett's modified likelihood ratio statistic for testing equality of covariance matrices.     

Random Weighted Bootstrap Method for Recurrent Events with Informative Censoring

Using the data from the AIDS Link to Intravenous Experiences cohort study as an example, an informative censoring model was used to characterize the repeated hospitalization process of a group of patients. Under the informative censoring assumption, the estimators of the baseline rate function and the regression parameters were shown to be related to a latent variable. Hence, it becomes impractical to directly estimate the unknown quantities in the moments of the estimators for the bandwidth selection of a smoothing estimator and the construction of confidence intervals, which are respectively based on the asymptotic mean squared errors and the asymptotic distributions of the estimators. To overcome these difficulties, we develop a random weighted bootstrap procedure to select appropriate bandwidths and to construct approximated confidence intervals. One can see that our method is simple and faster to implement from a practical point of view, and is at least as accurate as other bootstrap methods. In this article, it is shown that the proposed method is useful through the performance of a Monte Carlo simulation. An application of our procedure is also illustrated by a recurrent event sample of intravenous drug users for inpatient cares over time.     

唯识宗、禅宗对"境界"理论的构建作用

"境界"是中国文艺批评中的重要理论范畴.不同佛教宗派的境界理论对中国文艺批评境界理论的形成有着多重的构建性作用.特别是法相唯识宗的境界观构建了中国文艺批评境界理论的结构性心理空间.中国禅宗则使这一空间转换为审美境界,从而完成了对中国文艺境界理论的基础性建构.