Modeling spatial overdispersion via the generalized Waring point process

Modeling spatial overdispersion requires point process models with finite‐dimensional distributions that are overdisperse relative to the Poisson distribution. Fitting such models usually heavily relies on the properties of stationarity, ergodicity, and orderliness. In addition, although processes based on negative binomial finite‐dimensional distributions have been widely considered, they typically fail to simultaneously satisfy the three required properties for fitting. Indeed, it has been conjectured by Diggle and Milne that no negative binomial model can satisfy all three properties. In light of this, we change perspective and construct a new process based on a different overdisperse count model, namely, the generalized Waring (GW) distribution. While comparably tractable and flexible to negative binomial processes, the GW process is shown to possess all required properties and additionally span the negative binomial and Poisson processes as limiting cases. In this sense, the GW process provides an approximate resolution to the conundrum highlighted by Diggle and Milne.     

Uniform consistency rate of kNN regression estimation for functional time series data

In this paper, we investigate the k-nearest neighbours (kNN) estimation of nonparametric regression model for strong mixing functional time series data. More precisely, we establish the uniform almost complete convergence rate of the kNN estimator under some mild conditions. Furthermore, a simulation study and an empirical application to the real data analysis of sea surface temperature (SST) are carried out to illustrate the finite sample performances and the usefulness of the kNN approach.     

Strong law of large numbers and complete convergence for non-identically distributed WOD random variables

In this paper, we establish the strong law of large numbers and complete convergence for non-identically distributed WOD random variables. We derive some new inequalities of Fuk–Nagaev type for the sums of non-identically distributed WD random variables. All these results further extend and refine previous ones.     

On Hotelling’s T2 test in a special paired sample case

In a special paired sample case, Hotelling’s T² test based on the differences of the paired random vectors is the likelihood ratio test for testing the hypothesis that the paired random vectors have the same mean; with respect to a special group of affine linear transformations it is the uniformly most powerful invariant test for the general alternative of a difference in mean. We present an elementary straightforward proof of this result. The likelihood ratio test for testing the hypothesis that the covariance structure is of the assumed special form is derived and discussed. Applications to real data are given.     

Complete convergence and the strong laws of large numbers for pairwise NQD random variables

The authors study the strong convergence for sequences of pairwise negatively quadrant dependent (NQD) random variables under some wide conditions, and present some new theorems on the complete convergence and the strong laws of large numbers. The obtained results extend and improve some theorems in existing literature.     

Complete consistency for the estimator of nonparametric regression models based on extended negatively dependent errors

In this paper, we provide some exponential inequalities for extended negatively dependent (END) random variables. By using these exponential inequalities and the truncated method, we investigate the complete consistency for the estimator of nonparametric regression model based on END errors. As an application, the complete consistency for the nearest neighbour estimator is obtained.     

论亚当·斯密仁慈德性的内在矛盾及其现当代启示

仁慈是亚当·斯密德性论的四种基本德性之一,它与正义都是促进他人幸福的德性。亚当·斯密的仁慈德性呈现出内在矛盾,这种内在矛盾主要体现在两个方面：1.斯密对仁慈德性的价值评价和其社会作用不对称;2.仁慈德性的自愿性与强制性的内在冲突。斯密仁慈德性的这种内在矛盾给现代社会的发展带来了诸多启示。     

以“德”抗“位”的回归——论孟子、赵岐和朱熹的君臣观

在君臣关系上,先秦孟子主张德高于位,东汉赵岐虽未能继承孟子衣钵以德抗位,却也守道不违,守住了人臣的基本原则。而至南宋朱熹在吸纳与反省宋代《孟子》议题的时候,再次开掘和彰显仁义道德本真,以德抗位的人臣之本也自东汉赵岐之后得以回归。     

从《论语》看孔子的政治思想

孔子是儒家学说的集大成者,也是儒家许多政治主张的创造者和开拓者,他有其自成体系的治国方略并且一生都在推行。他创立的以“仁、礼、德”为核心的政治思想被后世所信奉和推崇。通过解读《论语》来对孔子政治思想进行宏观的把握与微观的分析,得出孔子的政治思想主要体现在“为人以仁”“为国以礼”“为政以德”三个方面。