孙中山的人学思想及其现实意义

孙中山的人学思想产生于19世纪末20世纪初的近代中国,是在其"致力国民革命四十年,求中国之自由平等"的斗争实践中逐渐形成的。它内涵丰富、意蕴深远,涉及互助人性论、民生观、自由平等观、"生元"说以及人生观等方面的内容。探讨发掘孙中山的人学思想中蕴含的积极合理成分,在当代无疑具有重要的现实意义。     

《哈姆雷特》中"约之链"的审美特质

《哈姆雷特》蕴含的契约意识具有独特的审美特质。哈姆雷特通过一系列约定,和周围的人一起让混沌的世界恢复了秩序。这一切,不是靠武力和冲动,而是以自由意志为基础的缔约能力。契约的破与立的是故事情节发展的内动力,契约的守与背是哈姆雷特复仇的原动力,契约的自由意志与道德责任是莎士比亚对人性和社会的哲学思考。从这个角度来说,哈姆雷特试图遵循“奥卡姆剃刀”原则,依据约定的破与立,将国家恢复到有序状态。     

师范生免费教育之探讨

本文提出师范生免费教育的几种培养模式,并指出师范生免费教育需注意的几个问题。     

Spatio‐temporal Ornstein–Uhlenbeck Processes: Theory,Simulation and Statistical Inference

Spatio‐temporal modelling is an increasingly popular topic in Statistics. Our paper contributes to this line of research by developing the theory, simulation and inference for a spatio‐temporal Ornstein–Uhlenbeck process. We conduct detailed simulation studies and demonstrate the practical relevance of these processes in an empirical study of radiation anomaly data. Finally, we describe how predictions can be carried out in the Gaussian setting.     

Estimation of variance in bivariate normal distribution after the preliminary test of homogeneity

A preliminary test estimator of variance in the bivariate normal distribution is proposed after the Pitman–Morgan test of homogeneity of two variances. The bias and mean square error of the estimator are derived. The relative efficiency (RE) of the preliminary test estimator is studied. Computations and 3D graphs of RE for different parameters are analyzed. In order to get the maximum RE, recommendations of the significance level for the preliminary test are given for various sample sizes by using the max–min criterion.     

Characterization of Lindley distribution by truncated moments

In the past few years, the Lindley distribution has gained popularity for modeling lifetime data as an alternative to the exponential distribution. This paper provides two new characterizations of the Lindley distribution. The first characterization is based on a relation between left truncated moments and failure rate function. The second characterization is based on a relation between right truncated moments and reversed failure rate function.     

Role of stylized features in constructing better estimators

This article discusses the role played by stylized features of financial time series in constructing better estimators for the model parameters. We study in detail one such estimator for the transition probabilities of a simple regime switching model. The estimator is based on the squared autocovariances of the time series, which has been discussed in several empirical studies of economic and financial time series. The effectiveness of this estimator in improving the estimation accuracy is investigated, using both finite sample and asymptotic computations. We also report simulation results to confirm our findings and to extend our conclusions over a bigger region of the parameter space.     

Parameter estimation for multivariate diffusion processes with the time inhomogeneously positive semidefinite diffusion matrix

Statistical inference for the diffusion coefficients of multivariate diffusion processes has been well established in recent years; however, it is not the case for the drift coefficients. Furthermore, most existing estimation methods for the drift coefficients are proposed under the assumption that the diffusion matrix is positive definite and time homogeneous. In this article, we put forward two estimation approaches for estimating the drift coefficients of the multivariate diffusion models with the time inhomogeneously positive semidefinite diffusion matrix. They are maximum likelihood estimation methods based on both the martingale representation theorem and conditional characteristic functions and the generalized method of moments based on conditional characteristic functions, respectively. Consistency and asymptotic normality of the generalized method of moments estimation are also proved in this article. Simulation results demonstrate that these methods work well.