基于Bayes概率边界域的粗集分类方法及其在高频数据中的应用

 作为一种近似处理的工具,粗集主要用于不确定情况下的决策分析,并且不需要任何事先的数据假定。但当前的主流粗集分类方法仍然需要先经过离散化的步骤,这就损失了数值型变量提供的高质量信息。本文对隶属函数重新加以概率定义,并提出了一种基于Bayes概率边界域的粗集分类技术,比较好的解决了当前粗集方法所面临的数值型属性分类的不适应、分类规则不完备等一系列问题。     

Sparse partial least squares regression for simultaneous dimension reduction and variable selection

Summary.  Partial least squares regression has been an alternative to ordinary least squares for handling multicollinearity in several areas of scientific research since the 1960s. It has recently gained much attention in the analysis of high dimensional genomic data. We show that known asymptotic consistency of the partial least squares estimator for a univariate response does not hold with the very large p and small n paradigm. We derive a similar result for a multivariate response regression with partial least squares. We then propose a sparse partial least squares formulation which aims simultaneously to achieve good predictive performance and variable selection by producing sparse linear combinations of the original predictors. We provide an efficient implementation of sparse partial least squares regression and compare it with well-known variable selection and dimension reduction approaches via simulation experiments. We illustrate the practical utility of sparse partial least squares regression in a joint analysis of gene expression and genomewide binding data.     

Preserving data utility via BART

When preparing data for public release, information organizations face the challenge of preserving the quality of data while protecting the confidentiality of both data subjects and sensitive data attributes. Without knowing what type of analyses will be conducted by data users, it is often hard to alter data without sacrificing data utility. In this paper, we propose a new approach to mitigate this difficulty, which entails using Bayesian additive regression trees (BART), in connection with existing methods for statistical disclosure limitation, to help preserve data utility while meeting confidentiality requirements. We illustrate the performance of our method through both simulation and a data example. The method works well when the targeted relationship underlying the original data is not weak, and the performance appears to be robust to the intensity of alteration.     

综合选择指数中的变量选择

本文首次从变量选择的角度把ＡＩＣ准则应用于动物性状的综合选择指数之中,从而获得了最佳的综合选择指数。     

不同带宽ISP 的定价博弈与结盟动因分析

不同带宽的网络接入服务商( ISP) 需要有不同的定价策略. 在消费者的单位时间成本不 同情况下,分析了网络接入商的定价博弈. 通过比较静态和动态的纳什均衡价格与收益,得到 了接入服务商的先动优势,也得到了技术进步对宽带接入的有利性. 然后分析了形成价格联盟 后的最优定价,得出了不同带宽的接入服务商之间具有形成价格联盟的激励的结论,并使窄带 接入退出市场. 最后探讨了结成价格联盟以后社会总福利的变化情况,指出这种结盟对于社会 整体来说是无益的.     

Variable precision rough set theory and data discretisation: an application to corporate failure prediction

Since the seminal work of Pawlak (International Journal of Information and Computer Science, 11 (1982) 341–356) rough set theory (RST) has evolved into a rule-based decision-making technique. To date, however, relatively little empirical research has been conducted on the efficacy of the rough set approach in the context of business and finance applications. This paper extends previous research by employing a development of RST, namely the variable precision rough sets (VPRS) model, in an experiment to predict between failed and non-failed UK companies. It also utilizes the FUSINTER discretisation method which neglates the influence of an ‘expert’ opinion. The results of the VPRS analysis are compared to those generated by the classical logit and multivariate discriminant analysis, together with more closely related non-parametric decision tree methods. It is concluded that VPRS is a promising addition to existing methods in that it is a practical tool, which generates explicit probabilistic rules from a given information system, with the rules offering the decision maker informative insights into classification problems.     

Nonparametric kernel estimation of expected shortfall under negatively associated sequences

Abstract

In this article, Bahadur type expansions of a nonparametric kernel estimator for ES under NA sequences are given. The strong consistency and the uniformly asymptotic normality of the estimator are yielded from the Bahadur type expansions, while the convergence rates of the above asymptotic properties are also obtained. Moreover, the expectation, the variance and the mean squared error (MSE) of the estimator are given. Besides, the optimal bandwidth selection of this estimator is discussed. We point out that all above results are based on the NA sequences. Finally, we conduct numerical simulations and compare performances of some ES estimators.     

有序响应变量的贝叶斯模型选择及其在COPD疾病防治中的应用

慢性阻塞性肺病(COPD)是一种发病率、死亡率都非常高的疾病，且COPD的诊断和严重程度分级依赖于肺功能的检查，但是由于肺功能检查仪器价格昂贵，使得这项检查在很多经济欠发达地区尤其是农村基层医院并没有普及。本文基于有序响应变量模型致力于研究一种便于基层和社区使用的可以初步判别COPD病情的模型，以期提高我国基层和社区的COPD 防治水平。利用贝叶斯变量选择方法和数据增强的潜变量策略得到了易于实施的Gibbs后验抽样算法。数值模拟分析进一步说明了本文提出的有序响应变量贝叶斯模型选择方法的有效性，实例分析得到了易于判别COPD严重程度的稀疏模型。     

M-estimation and model identification based on double SCAD penalization

M-estimation is a widely used method for robust statistical inference. In this article, using a B-spline series approximation with a double smoothly clipped absolute deviation penalization, we solve the problem of simultaneous variable selection and parametric component identification in a non parametric additive model. The theoretical properties of the double non concave penalized M-estimation are established. The proposed approach is resistant to heavy-tailed errors or outliers in the responses. Simulation studies for finite-sample cases are conducted and a real dataset is also analyzed for illustration of this new approach.     

单变量反馈实现混沌同步

本文对两个耦合的Lorenz系统进行了数值研究，结果表明，用单变量反馈可实现混沌同步，这种同步具有较快的收敛速率和较高的稳定性．和T．L．Caroll，L．M．Pecora的混沌同步法一样，反馈法同步的混沌系统也可以用于秘密通讯，并且结构简单，便于应用．