On tests of symmetry,marginal homogeneity and quasi-symmetry in two-way contingency tables based on minimum φ-divergence estimator with constraints

The restricted minimum φ-divergence estimator, [Pardo, J.A., Pardo, L. and Zografos, K., 2002, Minimum φ-divergence estimators with constraints in multinomial populations. Journal of Statistical Planning and Inference, 104, 221–237], is employed to obtain estimates of the cell frequencies of an I×I contingency table under hypotheses of symmetry, marginal homogeneity or quasi-symmetry. The associated φ-divergence statistics are distributed asymptotically as chi-squared distributions under the null hypothesis. The new estimators and test statistics contain, as particular cases, the classical estimators and test statistics previously presented in the literature for the cited problems. A simulation study is presented, for the symmetry problem, to choose the best function φ₂ for estimation and the best function φ₁ for testing.     

Computing optimal adjustment schemes for the general tool-wear problem

An important problem in process adjustment using feedback is how often to sample the process and when and by how much to apply an adjustment. Minimum cost feedback schemes based on simple, but practically interesting, models for disturbances and dynamics have been discussed in several particular cases. The more general situation in which there may be measurement and adjustment errors, deterministic process drift, and costs of taking an observation, of making an adjustment, and of being off target, is considered in this article. Assuming all these costs to be known, a numerical method to minimize the overall expected cost is presented. This numerical method provides the optimal sampling interval, action limits, and amount of adjustment; and the resulting average adjustment interval, mean squared deviation from target, and minimum overall expected cost. When the costs of taking an observation, of making an adjustment, and of being off target are not known, the method can be used to choose a particular scheme by judging the advantages and disadvantages of alternative options considering the mean squared deviation they produce, the frequency with which they require observations to be made, and the resulting overall length of time between adjustments. Computer codes that perform the required computations are provided in the appendices and applied to find optimal adjustment schemes in three real examples of application.     

Calculating the mvue of the fraction nonconforming for the bivariate normal

The minimum variance unbiased estimator of the proportion lying outside an m-dimensional rectangle for multivariate normal populations was derived by Baillie (1987a, b). The estimator is a natural extension of a univariate estimator widely used in acceptance sampling. Computation of the multivariate estimator is nontrivial; one must integrate a multivariate density over the intersection of an m-dimensional ellipsoid and an m-dimensional rectangle. We propose an algorithm for the bivariate case which involves a one-dimensional numerical integration and calls to routines for either an incomplete beta function or a Student's t cumulative distribution function     

Adaptive Isotonic Estimation of the Minimum Effective and Peak Doses in the Presence of Covariates

We consider a problem of estimating the minimum effective and peak doses in the presence of covariates. We propose a sequential strategy for subject assignment that includes an adaptive randomization component to balance the allocation to placebo and active doses with respect to covariates. We conclude that either adjusting for covariates in the model or balancing allocation with respect to covariates is required to avoid bias in the target dose estimation. We also compute optimal allocation to estimate the minimum effective and peak doses in discrete dose space using isotonic regression.     

Has the national minimum wage reduced UK wage inequality?

Summary.  The paper investigates the effect on the wage distribution of the introduction, in April 1999, of the national minimum wage (NMW) in the UK. Because of the structure of UK earnings statistics, it is not straightforward to investigate this and various methods for adjusting the published statistics are discussed. The main conclusions are that the NMW does have a detectable effect on the wage distribution and that compliance with the NMW is widespread but the effect is limited because the NMW has been set at a level such that only 6–7% of workers are directly affected and the NMW has had virtually no effect on the pay of workers who are not directly affected. Furthermore, virtually all the changes occurred within 2 months of the introduction in April 1999 and its effect declined over time from April 1999 to September 2001 as the minimum wage was not uprated in line with the increase in average earnings. The more substantial increase in the NMW in October 2001 partially, but not wholly, restored some of this decline in impact.     

Logistic与分类树模型变量筛选的比较——基于信用卡邮寄业务响应率分析

基于信用卡邮寄业务响应率分析来讨论Logistic模型和分类树模型在变量选取上的区别,并尝试从几个不同角度去解释两类模型变量筛选差异的原因。笔者认为没有绝对占优势的方法,需要结合具体场景和模型的特点来选择合适的模型。分类树模型在训练集上容易过度拟合,对单个变量的影响很敏感,在进行危险因素分析时结果更能强调危险因素,对孤立点的识别率很高。Logistic模型容易受到解释变量依存关系的影响,加上分类变量的影响容易过多地选入变量或者因子,对孤立点敏感,对噪点不敏感。判别函数的差异是变量筛选差异的关键因素。     

一种估计连续策略博弈的两阶段方法

 最近实证博弈研究的迅速发展为分析市场中的策略互动、进行政策分析与反事实实验提供了有效的工具。本文提出一种估计不完全信息连续策略博弈的两阶段方法,它可以处理私有信息的影响。第一阶段通过非参数分位数回归估计局中人的策略与期望支付函数;第二阶段利用贝叶斯——纳什均衡不等式构造模拟最小距离估计量,最终获得结构参数的估计。数值模拟显示本方法有良好的小样本表现。与现有文献的嵌套固定点方法相比,本方法不需计算均衡,极大地降低了计算量,并减轻了多重均衡的干扰。本方法既可以用于估计离散状态博弈,也适用于连续状态博弈。     

基于粘贴和删除系统求解最小权生成树的DNA算法

最小权生成树是一类典型的NP完全问题.粘贴和删除模型是DNA计算的两个基本计算模型.利用粘贴和删除模型给出求解最小权生成树问题的DNA算法.     

龙华三会思想的形成及其与民间宗教之关系

“龙华三会”自黄天教以后,成为民间宗教最基本的思想之一。这一思想最关键之处有两点：一是无生老母之主神信仰,而这一无生老母,和弥陀实是异名同指;二是弥勒下生信仰,即“龙华三会”中之“三会龙华弥勒祖”。黄天教在罗祖批判弥陀与弥勒信仰之后,重拾这一信仰内容,并首次将其以完整的故事形态呈现出来,而以龙华三会思想为重要组成部分的无生老母信仰,也正是在黄天教之后,以一个系统化了的姿态,成为民间宗教世界里共奉的一套信仰观念。黄天教或许并不是此一信仰体系之最初的缔造者,但却是目前在历史记载中可见的在罗祖批判“无生父母”之后,反罗教而行之并最终将其发扬光大者。     

民间流传欧阳修之佚文《郭氏族谱序》辨伪

民间流传署名欧阳修撰的《郭氏族谱序》一文,从某些内容和撰写时间上分析似有可能是欧阳修佚文。然而通过细微环节的比较考析,这篇署名欧阳修作的族谱序文在没有发现新的文献证据之前当是后人伪托之作。