Improving Convergence of the HastingsMetropolis Algorithm with an Adaptive Proposal

The HastingsMetropolis algorithm is a general MCMC method for sampling from a density known up to a constant. Geometric convergence of this algorithm has been proved under conditions relative to the instrumental (or proposal) distribution. We present an inhomogeneous HastingsMetropolis algorithm for which the proposal density approximates the target density, as the number of iterations increases. The proposal density at the n th step is a non-parametric estimate of the density of the algorithm, and uses an increasing number of i.i.d. copies of the Markov chain. The resulting algorithm converges (in n ) geometrically faster than a HastingsMetropolis algorithm with any fixed proposal distribution. The case of a strictly positive density with compact support is presented first, then an extension to more general densities is given. We conclude by proposing a practical way of implementation for the algorithm, and illustrate it over simulated examples.     

基于贝叶斯神经网络的非参数回归

提高神经网络模型推广能力的关键是控制模型的复杂度。该文探索了贝叶斯神经网络的非参数回归的建模方法,通过融入模型参数的先验知识,在给定数据样本及模型假设下进行后验概率的贝叶斯推理,使用马尔可夫链蒙特卡罗算法来优化模型控制参数,实现了对神经网络模型中不同部分复杂度的控制,获得了模型参数的后验分布及预测分布。在5个含噪二维函数回归问题上的应用显示了模型的复杂度能根据数据的复杂度而自适应调整,并给出了较好的预测结果。     

社区卫生服务中心与医院手术费用的比较研究

目的:比较社区卫生服务中心及各级医院常见手术费用;社区卫生服务中心手术是否便捷、低耗,有无保留的必要。方法:调研南京市社区卫生服务中心及各级医院常见手术的单病种费用,社区卫生服务中心与各级医院的费用做统计分析比较。结果:社区卫生服务中心单病种手术平均住院费用明显低于与各级医院。结论:从经济学的角度分析,各级医院手术费用差别很大,在规范和安全的前提下,社区卫生服务中心保留基本的手术功能是符合社区居民需求和社区卫生服务自身发展需要的。     

基于马尔可夫链的产品市场保有量预测模型

售后服务机构为了准确地准备库存,都需要预测产品的市场保有量。基于马尔可夫链建立的状态概率矩阵模型,与抽样调查、时间序列法、回归分析法等方法相比,更能准确预测市场产品保有量。与传统产品相比较,更新换代速度快的电子产品,要预测其市场保有量,更需要利用状态概率矩阵模型。     

Estimating rating transition probabilites with missing data

In this article we provide a rigorous treatment of one of the central statistical issues of credit risk management. GivenK-1 rating categories, the rating of a corporate bond over a certain horizon may either stay the same or change to one of the remainingK-2 categories; in addition, it is usually the case that the rating of some bonds is withdrawn during the time interval considered in the analysis. When estimating transition probabilities, we have thus to consider aK-th category, called withdrawal, which contains (partially) missing data. We show how maximum likelihood estimation can be performed in this setup; whereas in discrete time our solution gives rigorous support to a solution often used in applications, in continuous time the maximum likelihood estimator of the transition matrix computed by means of the EM algorithm represents a significant improvement over existing methods.     

On Block Updating in Markov Random Field Models for Disease Mapping

Gaussian Markov random field (GMRF) models are commonly used to model spatial correlation in disease mapping applications. For Bayesian inference by MCMC, so far mainly single-site updating algorithms have been considered. However, convergence and mixing properties of such algorithms can be extremely poor due to strong dependencies of parameters in the posterior distribution. In this paper, we propose various block sampling algorithms in order to improve the MCMC performance. The methodology is rather general, allows for non-standard full conditionals, and can be applied in a modular fashion in a large number of different scenarios. For illustration we consider three different applications: two formulations for spatial modelling of a single disease (with and without additional unstructured parameters respectively), and one formulation for the joint analysis of two diseases. The results indicate that the largest benefits are obtained if parameters and the corresponding hyperparameter are updated jointly in one large block. Implementation of such block algorithms is relatively easy using methods for fast sampling of Gaussian Markov random fields ( Rue, 2001 ). By comparison, Monte Carlo estimates based on single-site updating can be rather misleading, even for very long runs. Our results may have wider relevance for efficient MCMC simulation in hierarchical models with Markov random field components.     

多元化计量模式的现实思考--历史成本与公允价值择优并存

多元化计量模式的现实思考——历史成本与公允价值择优并存@谢桂芬$宁波高等专科学校经管系!浙江宁波315010~~     

彩票的法学解析

彩票是国家为筹集社会公益资金而发行的供人们自愿购买并据以取得获奖机会的凭证。汇集闲散资金,造福社会公益事业,是彩票的本质特征,也是彩票的道德生命和法律生命所在。彩票具有国家性、财产性、合同性、社会性等法律性质。彩票运作中包含着多重法律关系,其核心问题是发行人与购彩人之间的权利、义务如何配置。     

关于改进我国天然气管输定价方式的探讨

探索了我国现行天然气管输运价形成机制严重背离天然气市场发育的弊端，进而提出与国际接轨的建议，即通过分别确定管输企业年度应收服务费和按两部制设计用户运价率来制定管输价格。     

论《说文》的方言研究

许慎在《说文》中引证方言俗语是自觉的。《说文》中的方言研究成果形式有显性的和隐性的两种 ,其价值有三 :一是为研究汉代方言保存了具有共时价值的材料 ,二是为后人提供了可资参考的方言研究成果 ,三是对后人研究方言具有方法论意义的启发。《说文》方言研究的主要贡献在于“方言文字学