Likelihood ratio tests for multivariate normality

This paper presents some powerful omnibus tests for multivariate normality based on the likelihood ratio and the characterizations of the multivariate normal distribution. The power of the proposed tests is studied against various alternatives via Monte Carlo simulations. Simulation studies show our tests compare well with other powerful tests including multivariate versions of the Shapiro–Wilk test and the Anderson–Darling test.     

幸福与快乐——关于亚里士多德德性幸福论的诠释及其启示

“幸福就是快乐的生活”是亚里士多德德性幸福论的一则核心命题,在其伦理学代表作《尼各马科伦理学》中,他对幸福和快乐这两个重要的伦理范畴进行了充分而深刻的论述,并在理性的基础上,实现了二者的相互融合。这对建构我们当代的幸福观,正确理解幸福和快乐的关系有着重要的启示意义。     

Comparison of performance measures for multivariate discrete models

For multivariate probit models, Spiess and Tutz suggest three alternative performance measures, which are all based on the decomposition of the variation. The multivariate probit model can be seen as a special case of the discrete copula model. This paper proposes some new measures based on the value of the likelihood function and the prediction-realization table. In addition, it generalizes the measures from Spiess and Tutz for the discrete copula model. Results of a simulation study designed to compare the different measures in various situations are presented.     

Book review

W.G.Cochran: Sampling Techniques, 3rd. Ed. John Wiley & Sons, New York-Santa Barbara-London-Sydney-Toronto 1977. 428 S., £ 12.50; $21.50.

H.Toutenburg: Vorhersage in linearen Modellen. Akademie-Verlag, Berlin 1975, VIII, 176b S., 3 Tab., 28,– M.

O.Kallenberg: Random Measure. Akademie-Verlag, Berlin 1975; Academic Press, London 1976. 104 pp., 28,– M.     

Data-driven tests of uniformity on product manifolds

Data-driven versions of Sobolev tests of uniformity on compact Riemannian manifolds are reviewed and their large-sample asymptotic properties are given. A variant which is suitable for product manifolds is introduced. Data-driven goodness-of-fit tests of multivariate distributions are derived from data-driven tests of uniformity on tori.     

壮族民间信仰天地善院与“中国梦”关系探析

壮族民间信仰天地善院蕴涵了精神寄托、道德培养、维护稳定等与当代壮族社会相适应的文化因子,对实现中华民族伟大复兴的中国梦有积极的参考价值。     

美的境界探微——关于美的境界何以成为可能的一点想法

美的境界超出了真、善和艺术的有限界定。在真的领域,一切受着理性的限制无法达到无限,然而从理性中生发出超越理性的境界则可以走向无限。道德总是受来自他律和自律的限制,然而从其中生发出来的美的境界则使人摆脱有限的缠绕。艺术领域受着自身的感性、对意义追求的限制,从其中生发出的境界则是人超出此种限制使人走向空明至境。     

从《四因说演讲录》和《圆善论》论牟宗三的道家诠释

牟宗三在《四因说演讲录》一书中,以亚里士多德四因说的哲学理论,来讨论中国的道家哲学,他牵强地认定,中国的道家是没有实体创生的意旨的,道家的道,是一个非实有以及非必然的理论模型。他还认为,老子的“无”概念,虽然有动力因的意思,但却只是一个作用的姿态,因此并没有真正的形上学意义的创造性,只是一套境界型态的形上学,而不是一套实有型态的形上学。其实,牟先生是把道家的工夫论命题,当作了形上学的命题在解读,因此导致了错解。在《圆善论》中,牟先生又借由郭象的“迹本圆融”之说,来诠释庄子书中的儒家圣王帝尧的形象,这种做法,从儒家立场来说是可以的,但却是违反道家庄子立场的。牟先生只是借非儒非道之郭象哲学,来建立儒家的哲学,并且曲解又贬抑道家哲学。     

A New Generalized Exponential Geometric Distribution

In this article, another version of the generalized exponential geometric distribution different to that of Silva et al. (2010 Silva , R. B. , Barreto-Souza , W. , Cordeiro , G. M. ( 2010 ). A new distribution with decreasing, increasing and upside-down bathtub failure rate. Computat. Statist. Data Anal. 54: 935–944 . [Google Scholar]) is proposed. This new three-parameter lifetime distribution with decreasing, increasing, and bathtub failure rate function is created by compounding the generalized exponential distribution of Gupta and Kundu (1999 Gupta , R. D. , Kundu , D. ( 1999 ). Generalized exponential distributions . Austral. NZ J. Statist. 41 ( 2 ): 173 – 188 .[Crossref], [Web of Science ®] , [Google Scholar]) with a geometric distribution. Some basic distributional properties, moment-generating function, rth moment, and Rényi entropy of the new distribution are studied. The model parameters are estimated by the maximum likelihood method and the asymptotic distribution of estimators is discussed. Finally, an application of the new distribution is illustrated using the two real data sets.     

The questions of fit in the gregor mendel controversy

Ever since R. A. Fisher published his 1936 article , "Has Mendel's Work Been Rediscovered?", historians of both biclogy and statistics have been fascinated by the surprisingly high conformity between Gregor (Johann) Mendel's observed and expected ratios in his famous experiments with peas. Fisher's calculatftl x² statistic of the experiments, taken as a whole, suggested that results on a par or better than those Mendel reported coultl only be expected to occur about three times in every 100,000 attempts. The ensuing controversy as to whether or not the good Father "sophisticated" his data has continued to this very day. In recent years the controversy has focused upon the more technical question of what underlying genetic arrangement Mendel actually studied.

The statistical issues of the controversy are exam:.led in am historical and comparative perspective. The changes the controversy has gone through are evaluated, and the nature of its current, more biological, status is briefly discussed.