Sequential classification on partially ordered sets

Summary. A general theorem on the asymptotically optimal sequential selection of experiments is presented and applied to a Bayesian classification problem when the parameter space is a finite partially ordered set. The main results include establishing conditions under which the posterior probability of the true state converges to 1 almost surely and determining optimal rates of convergence. Properties of a class of experiment selection rules are explored.     

Weak approximations for quantile processes of stationary sequences

ABSTRACT By studying the deviations between uniform empirical and quantile processes (the so-called Bahadur-Kiefer representations) of a stationary sequence in properly weighted sup-norm metrics, we find a general approach to obtaining weighted results for uniform quantile processes of stationary sequences. Consequently we are able to obtain weak convergence for weighted uniform quantile processes of stationary mixing and associated sequences. Further, by studying the sup-norm distance of a general quantile process from its corresponding uniform quantile process, we find that information at the two end points of the uniform quantile process can be so utilized that this weighted sup-norm distance converges in probability to zero under the so-called Csörgõ-Révész conditions. This enables us to obtain weak convergence for weighted general quantile processes of stationary mixing and associated sequences.     

非线性Schodinger方程的显式差分格式的收敛性与稳定性分析

应用引入耗散项的方法，对非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程构造了两个显式差分格式，用能量估计方法证明了格式的收敛性和稳定性条件可以达到τ／ｈ￣２＜１．较大改进了文献［３］得到的条件τ／ｈ￣２＠＜０．２５，并且经数值例子验证了所得条件的正确性。     

The uniform convergence of the nadaraya-watson regression function estimate

If (X₁,Y₁), …, (X_n,Y_n) is a sequence of independent identically distributed R_d × R-valued random vectors then Nadaraya (1964) and Watson (1964) proposed to estimate the regression function m(x) = ? {Y₁|X₁ = x{ by where K is a known density and {h_n} is a sequence of positive numbers satisfying certain properties. In this paper a variety of conditions are given for the strong convergence to 0 of ess_Xsup|m_n (X)-m(X)| (here X is independent of the data and distributed as X₁). The theorems are valid for all distributions of X₁ and for all sequences {h_n} satisfying h_n → 0 and nh/log n→0.     

On a random series in a hilbert space

Let (S_n) be partial sums of a non-degenerate sequence of Identically and independently distributed random variables taking values in a separable Hilbert space. Then for 0 ≤ β ≤ 3/2, the series converges almost nowhere. For β > 3/2 this may not be true.     

农业供给侧改革与精准扶贫衔接机制研究

农业供给侧改革与精准扶贫具有逻辑关联性,适合构建二者的衔接机制。农业供给侧改革具有制度供给与改革对象明确化的需求,而精准扶贫在制度典范、数据共享、产能化解以及内向监控方面可与农业供给侧改革形成具体的衔接领域。同时,农业供给侧改革也为精准扶贫的纵深发展提供了机遇空间。农业供给侧改革中配置型资源和权威型资源的下移使精准扶贫的内在动力发生明显变化,而因农业供给侧改革市场化原则的引入,扶贫治理规则也发生变动。农业供给侧改革和精准扶贫衔接机制的建立,表明政府应在双方协同关系的基础上实施“整体性治理”,以此克服碎片化的制度和政策对农业供给侧改革与扶贫治理时机的延误。     

扶贫开发与农村低保衔接研究:一个文献述评

在全面建成小康社会的决胜阶段,扶贫开发政策和农村低保制度实现有效衔接（简称“两项制度衔接”）是推进精准扶贫的必然要求,是实现全面建成小康社会的基础性条件。通过对两项制度衔接相关文献的梳理,研究发现学界主要从顶层理念和衔接实践两个逻辑层次进行了较为全面的探究,但在研究深度与广度上都有待拓展,即在研究方法上应尝试运用定量研究方法,研究区域上应着重考察集中连片特困区,研究方向上应侧重于对衔接效果的评估体系及其应用研究等。最后,研究认为两项制度衔接实践是社会保障与扶贫开发联动扶贫的“先行军”,社会保障与扶贫开发联动扶贫是我国精准扶贫战略实施的主要路径选择。     

我国政策性银行效率影响因素及收敛性研究

提高政策性银行效率是实现其市场化改革和资源合理配置的必然选择.文章利用DEA超效率模型测算我国2000-2014年三家政策性银行的效率值,并采用Tobit回归模型对我国政策性银行效率的影响因素进行了深入的探讨.结果表明,除了成本管控能力外,资产质量、银行规模、稳定性、资产配置能力和人力资本质量等因素都对政策性银行效率具有显著的正向促进作用.在此基础上,通过收敛性模型进行检验,发现我国政策性银行效率存在绝对β收敛和条件β收敛.最后,根据相关实证结论提出可行性政策启示.     

Partially functional linear varying coefficient model

In this paper, we introduce a new partially functional linear varying coefficient model, where the response is a scalar and some of the covariates are functional. By means of functional principal components analysis and local linear smoothing techniques, we obtain the estimators of coefficient functions of both function-valued variable and real-valued variables. Then the rates of convergence of the proposed estimators and the mean squared prediction error are established under some regularity conditions. Moreover, we develop a hypothesis test for the model and employ the bootstrap procedure to evaluate the null distribution of test statistic and the p-value of the test. At last, we illustrate the finite sample performance of our methods with some simulation studies and a real data application.     

中国区域食品价格差异收敛性检验——基于微观价格数据的空间计量与动态效应分析

构建有别于以往文献的区域价格β收敛空间计量分析框架,实证研究了1994年以来中国食品价格差异收敛性及其动态变化特征。研究发现:1994年以来,中国食品价格收敛速度表现出了先减弱后增强的U型动态变化特征,而非此前文献所揭示的逐步增强,这是由改革红利的"螺旋效应"所致,且最近几年中国食品价格收敛性在走弱,应引起特别注意。对此,进一步的分析表明,主要原因可能包括三期叠加的宏观经济形势、有所抬头的新型贸易壁垒、食品消费结构升级以及国内宾大效应。