Asymptotic distributions in affiliation networks with an increasing sequence

A central limit theorem for a linear combination of all the maximum likelihood estimators with an increasing dimension for affiliation networks has been established. Simulation studies are provided to illustrate the asymptotic results.     

A note on stable limit theory for the OLSE with non usual rates and the heteroskedasticity robust Wald test

We are occupied with an example concerning the limit theory of the ordinary least squares estimator (OLSE) when the innovation process of the regression has the form of a martingale transform the iid part of which lies in the domain of attraction of an α-stable distribution, the scaling sequence has a potentially diverging truncated α-moment, and the regressor process has a potentially divergent truncated second moment. We obtain matrix rates that reflect the stability parameter as well as the slow variations present in the aforementioned sequences, and stable limits. We also derive asymptotic exactness, consistency, and local asymptotic unbiasedness under appropriate local alternatives for a heteroskedasticity robust Wald test based on subsampling. The results could be useful for inference on the factor loadings in an instance of the APT model.     

The conditional maximum of Poisson random variables

The conditional maxima of independent Poisson random variables are studied. A triangular array of row-wise independent Poisson random variables is considered. If condition is given for the row-wise sums, then the limiting distribution of the row-wise maxima is concentrated onto two points. The result is in accordance with the classical result of Anderson. The case of general power series distributions is also covered. The model studied in Theorems 2.1 and 2.2 is an analogue of the generalized allocation scheme. It can be considered as a non homogeneous generalized scheme of allocations of at most n balls into N boxes. Then the maximal value of the contents of the boxes is studied.     

Optimal Berry–Esseen bound for parameter estimation of SPDE with small noise

We investigate a rate of convergence on asymptotic normality of the maximum likelihood estimator (MLE) for parameter $\theta$ appearing in parabolic SPDEs of the form

$d{u}^{?}(t,x)=(A_0+\theta A_1)u^{?}(t,x)dt+?dW(t,x),$

where $A_0$ and$A_1$ are partial differential operators, $W$ is a cylindrical Brownian motion (CBM) and $?\downarrow 0$. We find an optimal Berry–Esseen bound for central limit theorem (CLT) of the MLE. It is proved by developing techniques based on combining Malliavin calculus and Stein’s method.     

Mildly explosive autoregression with mixing innovations

In this paper, the limit distribution of the least squares estimator for mildly explosive autoregressive models with strong mixing innovations is established, which is shown to be Cauchy as in the iid case. The result is applied to identify the onset and the end of an explosive period of an econometric time series. Simulations and data analysis are also conducted to demonstrate the usefulness of the result.     

Limit Theorems for the Counting Process of Near-Records

Near-records of a sequence, as defined in Balakrishnan et al. (2005 Balakrishnan , N. , Pakes , A. G. , Stepanov , A. ( 2005 ). On the number and sum of near-record observations . Advances in Applied Probability 37 : 765 – 780 .[Crossref], [Web of Science ®] , [Google Scholar]), are observations lying within a fixed distance of the current record. In this article we study the asymptotic behavior of the number of near-records, among the first n observations in a sequence of independent, identically distributed and absolutely continuous random variables. We give conditions for the finiteness of the total number of near-records as well as laws of large numbers for their counting process. For distributions with a finite number of near-records, we carry out a simulation study suggesting that the total number of near-records has a geometric distribution.     

会计盈余信息选拔的不可能定理及其理论深化

在美国等较为成熟的股票市场中,会计盈余信息的主要功能是定价,但是在政府管制较为严格的中国股票市场中,会计盈余信息的首要功能是"选拔".文章对中国证监会和上市公司之间的博弈构建了数学模型,提出了"会计盈余信息选拔的不可能定理":若以下两个条件存在--(1)监管部门设定选拔标准有一个上限,或(2)上市公司通过合法或非法方式虚报盈余的"虚报成本系数"较小,那么单纯依靠会计盈余信息将无法选拔出理想的目标公司.由此得到的可能的理论深化是:度量标准应当与契约形式相配合,如果制度环境本身限制了会计盈余信息作为度量标准的使用,那么改善的要点不应该集中于会计盈余信息本身,而应该在于调整博弈制度的安排.同时也为中国新会计准则执行研究提供了新的理论视角.     

Austérité budgétaire et flexibilisation du marché du travail: une association risquée

Les auteurs évaluent les effets de l'association entre politiques d'austérité budgétaire et de réduction du coût du travail, et apportent ainsi quelque éclairage sur les débats en cours. Ils s'attaquent au problème de l'agrégation dans une perspective mondiale au moyen d'un macromodèle mettant en évidence la dynamique de la répartition. La flexibilisation réduit la part salariale et entraîne des rétroactions qui s'enchaînent dans une spirale descendante avec une contraction de l'activité, même dans les économies tirées par les exportations. Les gains initiaux de compétitivité se révèlent éphémères. Sur le long terme, les salaires sont les premiers moteurs de l'économie mondiale, qui réagit positivement aux stimuli keynésiens coordonnés.     

符号学与修辞

第一届变音符号学研讨会在康奈尔召开,会议的主题为“文本,前文本及语境”。保罗·德·曼在此会议上讲演了符号学与修辞,其中提出很多有见解的思想,如在文学内部的法则和规律被严格遵循的前提下,我们现在可以自信地专注于外部问题研究,即文学的外部策略,并对此研究趋势作简要探讨;同时以美、法、英国文学个案为例讨论文学修辞与语言学的关系,提出语义符号学的修辞语法化观点。