Determining Optimal Number of Samples for Constructing Multivariate Control Charts

Normally, an average run length (ARL) is used as a measure for evaluating the detecting performance of a multivariate control chart. This has a direct impact on the false alarm cost in Phase II. In this article, we first conduct a simulation study to calculate both in-control and out-of-control ARLs under various combinations of process shifts and number of samples. Then, a trade-off analysis between sampling inspection and false alarm costs is performed. Both the simulation results and trade-off analysis suggest that the optimal number of samples for constructing a multivariate control chart in Phase I can be determined.     

Standard Exponential Cure Rate Model with Informative Censoring

In this article, we consider the standard cure rate model proposed by Boag (1949 Boag , J. W. ( 1949 ). Maximum likelihood estimates of the proportion of patients cured by cancer therapy . J. Roy. Statist. Soc. B 11 : 15 – 53 . [Google Scholar]) and Berkson and Gage (1952 Berkson , J. , Gage , R. ( 1952 ). Survival curve for cancer patients following treatment . J. Amer. Statist. Assoc. 47 : 501 – 515 .[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]). We present a new definition of informative censoring similar to Lawless (1982 Lawless , J. F. ( 1982 ). Statistical Models and Methods for Lifetime Data . New York : Wiley .[Crossref] , [Google Scholar]) and the corresponding likelihood function. Under informative censoring, we obtain the Fisher information matrix of the exponential standard cure rate model. We verify, with simulated data, the impact caused by informative censoring in the coverage probabilities and in the lengths of asymptotic confidence intervals of the parameters of interest. An example with real data is analyzed.     

Extensions of Samuelson's Inequality

In this note we obtain upper and lower bounds for the kth largest number in a set of real numbers in terms of their mean and standard deviation. For each inequality necessary and sufficient conditions for equality are given.     

Correlation,Regression Lines,and Moments of Inertia

The R language, a freely available environment for statistical computing and graphics is widely used in many fields. This “expert-friendly” system has a powerful command language and programming environment, combined with an active user community. We discuss how R is ideal as a platform to support experimentation in mathematical statistics, both at the undergraduate and graduate levels. Using a series of case studies and activities, we describe how R can be used in a mathematical statistics course as a toolbox for experimentation. Examples include the calculation of a running average, maximization of a nonlinear function, resampling of a statistic, simple Bayesian modeling, sampling from multivariate normal, and estimation of power. These activities, often requiring only a few dozen lines of code, offer students the opportunity to explore statistical concepts and experiment. In addition, they provide an introduction to the framework and idioms available in this rich environment.     

基于家庭收入的保障性住房标准研究

 保障性住房是关系国计民生的重大问题,为使保障性住房充分发挥作用,其准入标准的确定尤为重要。目前我国保障性住房准入标准大都以人均收入作为参考指标,本文旨在测算并确立以家庭收入为参考指标的保障性住房准入标准。由于厦门市保障性住房在全国具有示范效应,故以厦门为例考察基于家庭收入的保障性住房准入标准。根据抽样调查的分组数据界定“中低收入组”,通过正态分布与均匀分布的转换,利用格点映射法,找出覆盖面为40%的收入上限值,即为保障性住房的准入标准。基于此标准,结合“按年人均收入限值”这一指标,将家庭组别按人口细分,划分出针对不同家庭规模的参考准入标准。     

思想政治教育实效测评标准:一个亟待研究的问题

思想政治教育实效测评标准建构是思想政治教育学科的现实而紧迫的前沿性课题。思想政治教育实践活动呼唤科学有效的实效测评标准;思想政治教育理论建设需要加强实效测评标准的研究;思想政治教育实效测评标准的建构能够积极推进思想政治教育的前沿发展。     

批发和零售业在ISIC4.0和NACE2.0中的分类比较研究及启示

 ISIC是世界上对经济活动进行分类的最成熟、最权威、最有影响力的国际标准,而NACE派生于国际标准产业分类体系,是派生型产业分类体系的典型代表。深入了解最新版ISIC4.0和NACE2.0的批发和零售业分类的差别,对我国国民经济行业分类的批发和零售业依据ISIC4.0进行修改和调整具有重要的借鉴价值,同时对正确收集、处理和测算批发和零售业的经济指标以及国际间数据比较至关重要。故本文对上述两大产业分类体系进行比较研究,揭示批发和零售业在上述产业体系中的差别,提出我国国民经济行业分类体系的批发和零售业分类的改进建议。     

It's More Than an M‐shape: The Political Economy of Female Non‐Standard Workers in the Republic of Korea

This study examines the re‐entrance of female workers into the Korean labor market. We highlight that women in their 40s have the highest rate of employment among all female workers and that a large proportion of these women are entering into non‐standard employment. In approaching this question, we examine the political economy of this phenomenon by first discussing the demand side of the Korean labor market using the gendering of the varieties of capitalism argument and then the supply side with the work–life balance argument. When examining re‐entrance into the labor market, women with general skills with lower education and higher education both found it more feasible to re‐enter the labor market as non‐standard workers. While work–life balance is a prominent reason for women's choice of opting out of the labor market, work–life balance choice mattered less for women re‐entering the labor market as non‐standard workers in their 40s and 50s but instead firmly based skill formation mattered more. In addition, the retail service industry is suggested to absorb a large number of female workers with lower skill levels who would have had difficulties in re‐entering other male‐oriented companies.     

公交车辆在中途站点的排队论分析

公交站台停靠区的排队问题决定了公交车辆的通行能力。把公交中途站台与公交车辆模拟成一个单服务系统、公车到达率 ,两服务率 、 的负指数分布的排队M/M/1/N系统。根据排队论理论,实测计算了北京中关村海淀黄庄、人民大学站点公交车辆排队队长,站内逗留时间等参数。结论为：城市主干道关键站台改造为主、副双公交站台制式以及调整公交线路布设,优化各线路发车频率是花费成本低,畅通成效大的解决站点塞车排队的方法。     

Speculation in Standard Auctions with Resale

In standard auctions resale creates a role for a speculator—a bidder who is commonly known to have no use value for the good on sale. We study this issue in environments with symmetric independent private‐value bidders. For second‐price and English auctions the efficient value‐bidding equilibrium coexists with a continuum of inefficient equilibria in which the speculator wins the auction and makes positive profits. First‐price and Dutch auctions have an essentially unique equilibrium, and whether or not the speculator wins the auction and distorts the final allocation depends on the number of bidders, the value distribution, and the discount factor. Speculators do not make profits in first‐price or Dutch auctions.