Patterns of consent: evidence from a general household survey

Summary.  We analyse patterns of consent and consent bias in the context of a large general household survey, the 'Improving survey measurement of income and employment' survey, also addressing issues that arise when there are multiple consent questions. A multivariate probit regression model for four binary outcomes with two incidental truncations is used. We show that there are biases in consent to data linkage with benefit and tax credit administrative records that are held by the Department for Work and Pensions, and with wage and employment data held by employers. There are also biases in respondents' willingness and ability to supply their national insurance number. The biases differ according to the question that is considered. We also show that modelling questions on consent independently rather than jointly may lead to misleading inferences about consent bias. A positive correlation between unobservable individual factors affecting consent to Department for Work and Pensions record linkage and consent to employer record linkage is suggestive of a latent individual consent propensity.     

残数求法公式的拓广

本文在文［１］的基础上，对残数的求法公式：“设的一级极点，且满足及在点ａ解析，进行了拓广，得到较好的结果，即文中定理１、２及推论１、２，较圆满地解决了为型及型的求在其奇点的残数问题．     

Estimation of variance components in an unbalanced one-way classification

In the unbalanced one-way random effects model the weighted least squares approach with estimated weights is used to develop a relatively simple estimator of variance components. As the number of classes increases, the proposed estimator is seen not only to be best asymptotically normal but also to be asymptotically equivalent to the maximum likelihood estimator.     

论中共三代领导人发展观的共性和实质

论述了中共三代领导人发展观的共性:代表了最广大人民群众的政治立场;都是建立在唯物辩证法的基础之上的,是一脉相承的理论基础;思想方法的求实性和内容的创新性及高瞻远瞩的预见性;与时俱进是三代领导人发展现的实质.     

关于x_4~T(G)+x_4~T(■)的可达下界问题

解决了张忠辅等人提出的如下问题:确定x_4~T(G)+x_4~T(G)用的可达下界,其中x_4~T(G)表图G的4-全色数,G表G的补图。     

一类和stirling数相关的新数的表示式与应用

本文给出了一类和stirling数相关的新数的生成函数、简明表示式以及在讨论算术等幂级数中的应用.     

A Sequential Markov Chain Monte Carlo Approach to Set-up Adjustment of a Process over a Set of Lots

We consider the problem of adjusting a machine that manufactures parts in batches or lots and experiences random offsets or shifts whenever a set-up operation takes place between lots. The existing procedures for adjusting set-up errors in a production process over a set of lots are based on the assumption of known process parameters. In practice, these parameters are usually unknown, especially in short-run production. Due to this lack of knowledge, adjustment procedures such as Grubbs' (1954, 1983) rules and discrete integral controllers (also called EWMA controllers) aimed at adjusting for the initial offset in each single lot, are typically used. This paper presents an approach for adjusting the initial machine offset over a set of lots when the process parameters are unknown and are iteratively estimated using Markov Chain Monte Carlo (MCMC). As each observation becomes available, a Gibbs Sampler is run to estimate the parameters of a hierarchical normal means model given the observations up to that point in time. The current lot mean estimate is then used for adjustment. If used over a series of lots, the proposed method allows one eventually to start adjusting the offset before producing the first part in each lot. The method is illustrated with application to two examples reported in the literature. It is shown how the proposed MCMC adjusting procedure can outperform existing rules based on a quadratic off-target criterion.     

大衍之数其用四十九之我见

《周易·系辞传》“大衍之数五十 ,其用四十有九” ,迄今为止未得其解。文章通过天地自然、人体生命以及物理运动等方面的大量实例 ,论证了《周易》“反复其道 ,七日来复”所揭示的阴阳运动周期节律的普适性 ,认为《周易·系辞传》所说“大衍之数五十有五 ,其用四十有九” ,所指正是阴阳“七日来复”的最大周期数     

一类差分方程边值问题及分形曲面的生成

研究一类二元三阶差分方程边值问题的解，证明了解的存在性、唯一性及稳定性，并给出了解的表达式．由其解的表达式，得到分形曲面生成和插值的一种新方法．     

氧化数概念在有机化学反应中应用的探讨

在有机化学中,引入了氧化数的概念,并用此概念对有机氧化还原反应的判断和有机氧化还原反应方程式的配平进行了探讨。