A polynomial-time perfect sampler for the <Emphasis Type="Italic">Q</Emphasis>-Ising with a vertex-independent noise

We present a polynomial-time perfect sampler for the Q-Ising with a vertex-independent noise. The Q-Ising, one of the generalized models of the Ising, arose in the context of Bayesian image restoration in statistical mechanics. We study the distribution of Q-Ising on a two-dimensional square lattice over n vertices, that is, we deal with a discrete state space {1,…,Q} ⁿ for a positive integer Q. Employing the Q-Ising (having a parameter β) as a prior distribution, and assuming a Gaussian noise (having another parameter α), a posterior is obtained from the Bayes’ formula. Furthermore, we generalize it: the distribution of noise is not necessarily a Gaussian, but any vertex-independent noise. We first present a Gibbs sampler from our posterior, and also present a perfect sampler by defining a coupling via a monotone update function. Then, we show O(nlog n) mixing time of the Gibbs sampler for the generalized model under a condition that β is sufficiently small (whatever the distribution of noise is). In case of a Gaussian, we obtain another more natural condition for rapid mixing that α is sufficiently larger than β. Thereby, we show that the expected running time of our sampler is O(nlog n).     

Counselors’ and Counseling Students’ Attitudes toward Transgender Persons

Issues related to persons who are transgender have gained large interest in recent years, but discrimination and differential health outcomes for persons who are transgender continue. This article reviewed the 14 existing studies on attitudes toward persons who are transgender, none dealing exclusively with counselors and/or counselors in training. This study involved investigation of those attitudes with a sample of 95 counselors and counselors in training. Findings indicated that counselors tend to have positive attitudes. Greater personal familiarity and multicultural competence as well as being female were associated with more positive attitudes, whereas quantity of diversity training was not related and professional experience was related to more negative attitudes.     

Pseudo confidence regions for the solution of a multivariate linear functional relationship

The problem of finding confidence regions (CR) for a q-variate vector γ given as the solution of a linear functional relationship (LFR) Λγ = μ is investigated. Here an m-variate vector μ and an m × q matrix Λ = (Λ₁, Λ₂,…, Λ_q) are unknown population means of an m(q+1)-variate normal distribution $\text{N}{}_{\mathrm{m(q+1)}}\text{(ζΩ?Σ)}$, where ζ′ = (μ′, Λ₁′, Λ₂′,…, Λ_q′Σ is an unknown, symmetric and positive definite m × m matrix and Ω is a known, symmetric and positive definite (q+1) × (q+1) matrix and ? denotes the Kronecker product. This problem is a generalization of the univariate special case for the ratio of normal means.A CR for γ with level of confidence 1 ? α, is given by a quadratic inequality, which yields the so-called ‘pseudo’ confidence regions (PCR) valid conditionally in subsets of the parameter space. Our discussion is focused on the ‘bounded pseudo’ confidence region (BPCR) given by the interior of a hyperellipsoid. The two conditions necessary for a BPCR to exist are shown to be the consistency conditions concerning the multivariate LFR. The probability that these conditions hold approaches one under ‘reasonable circumstances’ in many practical situations. Hence, we may have a BPCR with confidence approximately 1 ? α. Some simulation results are presented.     

Organizing Multiple Vision

In a factory that produces large quantities of precision metal parts through the use of computer-controlled lathes, workers from different divisions of labor such as lathe operators, inspectors, and managers organize multiple vision to make cutting processes and the quality of products visible. The first part of this article investigates how the lathe operators juxtapose a range of different kinds of documents and artifacts to both program their lathes and build a perceptual field where relevant events in the process become visible. In the second part of the article, particular attention is paid to a standard plan as a boundary object. A common standard plan is used in different ways in different sections of the plant to accomplish its practice. A standard plan organizes multiple, perspectival vision of the "same" events in different sections while simultaneously becoming a tool for coordinating different divisions of labor.     

The Importance of Freedom in the East and the West Over Time: A Meta-analytic Study of Predictors of Well-Being

We examined whether sense of freedom is an important predictor of well-being, as compared to other typical predictors, across different periods in modern times (1981–2011), and in the East and the West. We applied a meta-analytical approach to the results of a series of multiple regression analyses conducted on six individual waves of Japanese data sets and five individual waves of American data sets from the World Values Survey. The final sample comprised 6389 Japanese and 6176 American respondents during all study periods. The main findings were that sense of freedom was one of the strongest predictors of life satisfaction (a) among several predictors (i.e., health condition, household income, marital status), (b) consistently across waves, and (c) in both Japan and the United States, as typical collectivistic Eastern and individualistic Western countries. We conclude that the greater importance of sense of freedom in ensuring well-being than other typical predictors is applicable to individuals across time and cultures.     

Representations of the covariance matrix for robustness in the gauss-markov model

This paper considers some extensions of the results of Rao and Rao and Mitra. They gave a table of general representations of the covariance matrix in terms of the given design matrix, under which various statistical procedures in the least squares theory based on the simple Gauss-Markov model with the spherical covariance matrix are also valid under the general Gauss-Markov model. We shall give extended tables adding some more results relating to robustness, especially in connection with the estimation and testing of hypotheses on linear parametric functions     

Renationalisation of space in everyday life in Singapore

As globalisation becomes more and more familiar in our everyday lives, one readily visible phenomenon is the increasing number of migrants from outside the borders of nation states. This influx of migrants inevitably makes societies more complicated racially and culturally, and a ‘multi-racial’ or ‘multi-cultural’ society is no longer the monopoly of migrant societies such as the United States or Australia. This spread of multi-racial and multi-cultural societies in the world, however, does not mean that we have achieved racial and cultural co-existence (among nationals, and needless to say between host society and migrants) without hierarchies. In the face of a constant flow of migrants, both the host states and host societies need to control migrants, to ensure that migrants will co-exist with the host society as the host society wishes. Hierarchy and difference need to be created and maintained by the host society to control the influx of migrants in their everyday life. This paper explores how Singapore society draws a border between itself and female migrant domestic workers. For this purpose, it examines both everyday discourses of Singaporean employers about female migrant domestic workers and the efforts of the Singapore Muslim Converts’ Association to teach such workers to become ‘good Muslims'.