Moderate Deviations for Bayes Posteriors

Let ( X_k ) k be a sequence of i.i.d. random variables taking values in a set , and consider the problem of estimating the law of X₁ in a Bayesian framework. We prove, under mild conditions on the prior, that the sequence of posterior distributions satisfies a moderate deviation principle.     

鲁迅作品中的祭祀仪式原型

鲁迅的许多作品是经过置换变形的祭祀仪式原型。置换变形的关键在于对主人公地位的处理。这种处理方式显现出鲁迅对于启蒙的一个完整的思考,祭祀仪式原型投射了鲁迅自身体味到的悲剧意识。     

深水钻孔灌注桩基础施工技术

针对济阳黄河公路大桥钻孔灌注桩桩身长、孔壁易失稳垮塌、单桩混凝土灌注量大等施工难题，通过合理机械选型和控制护壁泥浆配比，取得了良好效果。以4″主墩为例介绍了施工条件及钻孔灌注桩施工技术措施，总结了施工效果。     

40Cr摆动滑块热处理工艺的改进

对截面尺寸较大、结构复杂的40Cr钢件采用常规热处理工艺变形大，难于满足技术要求,经过工艺改进：受只了亚；淬火工艺，结果表明：亚温淬火工艺在保证原工件性能的情况下，显著减小了淬火变形，避免了开裂，降低了生产成本.     

大型字书疑难字新考

认知社会语言学是一门新学科,其在国内的理论研究成果较少,根据国外认知社会语言学研究现状,尽量多地收集有关认知社会语言学理论研究的信息和资料,概括了认知社会语言学发展的三个阶段,通过对认知社会语言学的发展及研究范围等角度进行分析,为国内认知社会语言学在研究应用方面增加一些可供交流借鉴的观点和思考。     

救赎：寻求民族文化的出路——解读莫里森的《柏油孩子》

高速铁路具有高度集成、高精度的技术特点，运营过程中经受列车质量、速度、密度等多种因素影响，地理位置因素往往是影响铁路设备状态演变的决定性因素。采用网格化管理技术可将空间上连续分布的管理对象划分成较小的单元网格，有利于从空间位置角度研究管理对象状态的变化规律。随着信息系统技术、大数据技术的迅猛发展，基于位置而不是基于专业更符合高速铁路的管理需求，网格化管理技术给高速铁路管理带来了新的视角。     

Precise large deviations for φ-mixing and UND random variables with long-tailed distributions

In this paper, we investigate the precise large deviations for sums of φ-mixing and UND random variables with long-tailed distributions. The asymptotic relations for non random sum and random sum of random variables with long-tailed distributions are obtained.     

Retrospective change detection in categorical time series

The aim of this paper is to propose methods of detecting change in the coefficients of a multinomial logistic regression model for categorical time series offline. The alternatives to the null hypothesis of stationarity can be either the hypothesis that it is not true, or that there is a temporary change in the sequence. We use the efficient score vector of the partial likelihood function. This has several advantages. First, the alternative value of the parameter does not have to be estimated; hence, we have a procedure that has a simple structure with only one parameter estimation using all available observations. This is in contrast with the generalized likelihood ratio-based change point tests. The efficient score vector is used in various ways. As a vector, its components correspond to the different components of the multinomial logistic regression model’s parameter vector. Using its quadratic form a test can be defined, where the presence of a change in any or all parameters is tested for. If there are too many parameters one can test for any subset while treating the rest as nuisance parameters. Our motivating example is a DNA sequence of four categories, and our test result shows that in the published data the distribution of the four categories is not stationary.     

Conditional entropy,entropy density,and strong law of large numbers for generalized controlled tree-indexed Markov chains

In this paper, we first introduces a tree model without degree boundedness restriction namely generalized controlled tree T, which is an extension of some known tree models, such as homogeneous tree model, uniformly bounded degree tree model, controlled tree model, etc. Then some limit properties including strong law of large numbers for generalized controlled tree-indexed non homogeneous Markov chain are obtained. Finally, we establish some entropy density properties, monotonicity of conditional entropy, and entropy properties for generalized controlled tree-indexed Markov chains.     

The almost sure convergence rate of the estimator of optimized certainty equivalent risk measure under α-mixing sequences

Conditional value-at-risk (CVaR) model is a kind of financial risk measure that is extensively supported and accepted by international financial community. Its optimized form can be regarded as an optimized certainty equivalent (OCE) risk measurement. In this paper, we mainly discuss and analyze the strong laws of large numbers and the convergence rate of OCE's estimator under α-mixing sequences. The result shows that the almost sure convergence rate of CVaR estimator is given by the results of OCE estimator. Its convergence rate is inversely proportional to the square root of the sample size under certain conditions. Its effectiveness is verified by simulation experiments for two classical α-mixing sequences.