A majorization comparison of apportionment methods in proportional representation

From the inception of the proportional representation movement it has been an issue whether larger parties are favored at the expense of smaller parties in one apportionment of seats as compared to another apportionment. A number of methods have been proposed and are used in countries with a proportional representation system. These apportionment methods exhibit a regularity of order, as discussed in the present paper, that captures the preferential treatment of larger versus smaller parties. This order, namely majorization, permits the comparison of seat allocations in two apportionments. For divisor methods, we show that one method is majorized by another method if and only if their signpost ratios are increasing. This criterion is satisfied for the divisor methods with power-mean rounding, and for the divisor methods with stationary rounding. Majorization places the five traditional apportionment methods in the order as they are known to favor larger parties over smaller parties: Adams, Dean, Hill, Webster, and Jefferson. Received: 5 August 2000/Accepted: 24 October 2001     

Equality of two blues and ridge-type estimates

Equality is shown of the g-inverse and Moore-Penrose inverse representation of the BLUE in the general linear model. The proof is based on a matrix identity which allows also to establish a functional relationship between the BLUE and Ridge-type estimates.     

Gluing Copulas

We present a new way of constructing n-copulas, by scaling and gluing finitely many n-copulas. Gluing for bivariate copulas produces a copula that coincides with the independence copula on some grid of horizontal and vertical sections. Examples illustrate how gluing can be applied to build complicated copulas from simple ones. Finally, we investigate the analytical as well as statistical properties of the copulas obtained by gluing, in particular, the behavior of Spearman's ρ and Kendall's τ.     

Health Risks of Energy Systems

Health risks from fossil, renewable and nuclear reference energy systems are estimated following a detailed impact pathway approach. Using a set of appropriate air quality models and exposure-effect functions derived from the recent epidemiological literature, a methodological framework for risk assessment has been established and consistently applied across the different energy systems, including the analysis of consequences from a major nuclear accident. A wide range of health impacts resulting from increased air pollution and ionizing radiation is quantified, and the transferability of results derived from specific power plants to a more general context is discussed.     

Saturated main-effect designs for factorial experiments

The results of a computer search for saturated designs for 2ⁿ factorial experiments with n runs is reported, (where n = 2 mod 4). A complete search of the design space is avoided by focussing on designs constructed from cyclic generators. A method of searching quickly for the best generators is given. The resulting designs are as good as, and sometimes better than, designs obtained via search algorithms reported in the literature. The addition of a further factor having three levels is also considered. Here, too, a complete search is avoided by restricting attention to the most efficient part of the design space under p-efficiency.     

Distributed intervention: networked content moderation in anonymous mobile spaces

Given recent public focus on the use of digital tools to engage in discrimination and harassment, online platforms have come under increasing scrutiny to address online incivility. Many of these efforts have been critiqued for relying too heavily on technical tools or burdening individuals with the responsibility for reporting inappropriate actions. This research examines practices of digital bystander intervention on the anonymous localized mobile app Yik Yak. Through an analysis of the firsthand experiences of college students in the United States, this research identifies and investigates practices of networked intervention—that is, strategies of content moderation where success relies on collective action. Rooted in a general uncertainty and skepticism regarding reporting tools provided by the platform, findings suggest a preference for intervention practices that depend on distributed responsibility and networked activity. Taking inspiration from research on college bathroom graffiti—a parallel discursive environment—this paper employs the feminist theory of relational autonomy to explore the possibilities and limitations of networked intervention to cultivate individual and collective empowerment.     

Much Ado About Nothing? Macro-Prudential Ideas and the Post-Crisis Regulation of Shadow Banking

Post-crisis, macro-prudential ideas have challenged the epistemic authority of private risk management technologies, declaring them to be pro-cyclical contributors to systemic risk. This discursive challenge has been most critical of the shadow banking system, where private risk management instruments are central. This challenge, however, has not been translated into regulatory tools which reflect these convictions. This paper studies this process of discursive challenge to (failed) regulatory intervention for the case of the repo-market, the heart of the current shadow banking system. It traces regulatory efforts on the global and EU level from regulatory statements to (lack of) action, documenting both the persistent articulation of macro-prudential ideas challenging private risk-management systems and timid to no regulatory intervention. It links this hiatus to international coordination problems, the need for macro-prudential action to span regulatory communities, involving banking and financial market authorities and disagreements between micro- and macro-prudentially oriented regulators. The lack of evidence and the difficulty to generate it are identified as major impediments for regulatory consensus, further aggravated by ambiguities about the goals of anti-cyclical regulation. Beyond governance problems and the persistent appeal of private risk-management systems, the paper thus points to difficulties operationalizing macro-prudential ideas as a major explanatory factor.     

Adolescent Deliberate Self‐Harm: Linkages to Emotion Regulation and Family Emotional Climate

Parents' responses to their children's emotional expressivity have been shown to significantly influence children's subsequent psychosocial functioning. This study hypothesized that adolescents' deliberate self‐harm (DSH) may be an outcome associated with poor emotion regulation as well as an invalidating family environment. The mediational role of specific emotion processes (i.e., poor awareness of emotion, difficulties expressing emotions) between family emotional environment and the frequency of DSH was examined with 131 psychiatrically hospitalized adolescents (M age=14.84 years, SD=1.75 years). Results indicated that adolescents who self‐injured reported that this behavior reduced their negative emotional states. Structural equation modeling provided support for the proposed model that family climate influences frequency of DSH through emotion regulation skills but the model held for girls only. A direct model effect was not supported. Emotion regulation partially mediated the relationship between family climate and DSH, and direct effects were also observed.     

Neighborhood graphs,stripes and shadow plots for cluster visualization

Centroid-based partitioning cluster analysis is a popular method for segmenting data into more homogeneous subgroups. Visualization can help tremendously to understand the positions of these subgroups relative to each other in higher dimensional spaces and to assess the quality of partitions. In this paper we present several improvements on existing cluster displays using neighborhood graphs with edge weights based on cluster separation and convex hulls of inner and outer cluster regions. A new display called shadow-stars can be used to diagnose pairwise cluster separation with respect to the distribution of the original data. Artificial data and two case studies with real data are used to demonstrate the techniques.