Automatic selection of the proper family for simultaneous confidence intervals

Statisticians often employ simultaneous confidence intervals to reduce the likelihood of their drawing false conclusions when they must make a number of comparisons. To do this properly, it is necessary to consider the family of comparisons over which simultaneous confidence must be assured. Sometimes it is not clear what family of comparisons is appropriate. We describe how computer software can monitor the types of contrasts a user examines, and select the smallest family of contrasts that is likely to be of interest. We also describe how to calculate simultaneous confidence intervals for these families using a hybrid of the Bonferroni and Scheffé methods. Our method is especially suitable for problems with discrete and continuous predictors.     

Properties of a class of inequality measures: A proposal for a resistant version

Summary This note explores the robustness properties of a general class of ineqyality measures which includes the Bonferroni and the Gini indexes as special cases and proposes some modifications in order to make them outlier resistant.     

The ‘Extended’ Atkinson family: The class of multiplicatively decomposable inequality measures,and some new graphical procedures for analysts

This paper introduces and characterises a class of inequality measures which extends the Atkinson family. This class contains canonical forms of all aggregative inequality measures, each bounded above by one, provides a new dominance criterion for ordering distributions in terms of inequality and offers some new graphical procedures for analysts. The crucial axiom for the characterisation is an alternative to the standard additive decomposition property that we call ‘multiplicative decomposability,’ where the within-group component is a generalised weighted mean with weights summing exactly to one. An erratum to this article can be found at     

Problematic Progress in Asia: Growing Older and Apart

The purpose of this article is to describe the demographic dynamics in 14 Asian countries. The foreseen impacts on economic growth, income disparity, social stability, pension programs, retirement, health care insurance, and labor market are presented. Public policy recommendations are delineated.     

不等式｜A＋B｜~s≥｜A｜~s＋｜B｜~s及其应用

给出了一类矩阵的行列式的不等式｜Ａ＋Ｂ｜ｓ≥｜Ａ｜ｓ＋｜Ｂ｜ｓ，而Ｍｉｎｋｏｗｓｋｉ不等式及其推广均可视为这一结果的简单推论．     

Intimate relationships and changing patterns of money management at the beginning of the twenty-first century

Drawing on British data from two annual sweeps of the ISSP eight years apart in 1994 and 2002, for modules focusing on 'Family and Changing Gender Roles', this paper examines the extent to which changes in women's labour market participation, changing ideologies/discourses of gender and changing forms of intimate relationships are affecting the ways in which couples organize household money, and the implications of such changes for recent theories of intimate relationships. The analysis indicates that by 2002, the type of relationship respondents had established, together with their social class position, were both independently related to the ways in which they managed money, after controlling for socio-economic and cultural or discursive factors. Our findings also provide a degree of support for the thesis of a partial decline in the male breadwinner model of gender, as indicated by small declines in the use of the relatively inegalitarian female whole wage and housekeeping allowance systems which were most likely to be used by married couples and cohabiting fathers, expressing relatively traditional ideologies/discourses of breadwinning - and a slight increase in the use of the partial pool, which was most likely to be used by childless cohabiting couples in which male partners expressed less traditional ideologies of breadwinning and women were in middle-class jobs with incomes high enough to facilitate partially separate finances. We also suggest, however, that in so far as cohabiting couples earning different amounts define equality as contributing equally to household expenditure, it is possible that rather than being associated with shifts to greater equality in access to money for personal spending and saving, the partial pool may be associated with marked inequalities, because it may enable gender inequalities generated in the labour market to be more directly transposed into inequalities within households, despite the decline of traditional discourses of male breadwinning and the increasing importance of egalitarian ideologies of co-provisioning.     

一类推广的Halanay不等式的稳定性研究及其应用

利用Halanay不等式的推广形式,证明了一类时滞微分系统的指数稳定性,得到了一个新的积分条件,推广和改进了已有的结果,并结合例子加以说明.     

收入差距、社会稳定与经济增长

收入差距问题不仅涉及经济学上的效率与公平,而且关系着社会稳定和经济的可持续增长。如果收入差距过度扩大特别是贫富两极分化,必然会危及社会的组织和秩序,甚至诱发社会动乱,从而使经济增长失去稳定的社会环境。完善社会主义市场经济体制,统筹城乡和区域的经济与社会发展,应把调节收入差距作为一个中心环节,培育一个可持续发展的、公正和谐与公众广泛参与的社会,实现社会主义以人为本的全面发展。     

Dependent Insurance Risk Model: Deterministic Threshold

This article considers a dependent insurance risk model. We assume that the inter-arrival time depends on the previous claim size through a deterministic threshold structure. Adjustment coefficient and Lundberg-type upper bound for the ruin probability are obtained. In case of exponential claim size, an explicit solution for the ruin probability is obtained by solving a system of ordinary delay differential equations. Some numerical results are included for illustration purposes.     

The Ruin Probability of a Discrete-Time Risk Model with a One-Sided Linear Claim Process

In this article, the ruin probability is examined in a discrete time risk model with a constant interest rate, in which the dependent claims are assumed to have a one-sided linear structure. An explicit asymptotic formula is obtained for the ruin probability. Generalized Lundberg inequalities for the ruin probability are derived by martingale and inductive approaches.