Small area estimation using reduced rank regression models

Abstract

Small area estimation techniques have got a lot of attention during the last decades due to their important applications in survey studies. Mixed linear models and reduced rank regression analysis are jointly used when considering small area estimation. Estimates of parameters are presented as well as prediction of random effects and unobserved area measurements.     

Superior Sporting Performance in Athletics: Determinants and Sustainability

The article aims to contribute to the understanding of competitive dynamics and specialization in international sport by analyzing superior sporting performance (SSP) in international athletics in the period from 1999 to 2018. By applying iterative Kolmogorov‐Smirnov tests to annual bests, the study examines national SSPs. Contrary to theoretical considerations, less specialized countries are more likely to achieve SSP. Technical entry barriers and macrosocial factors also appear to play a limited role. SSP seems not to disappear due to increased international competition. The United States and Russia are identified as “sporting super powers,” able to persistently dominate a number of disciplines. The case of Russia poses fundamental questions concerning market distortions in international sport resulting from doping. The results come with substantial policy implications.     

The Taste of the Eye and the Sight of the Tongue: the Relations between Sight and Taste in Early Modern Europe

This article examines the articulation between the senses of taste and sight through the representations of their organs, the tongue and the eye, in early modern Europe. The relationship between taste and sight first brings to mind gastronomical aesthetics, and the part played by the eye in the relish of beautifully presented dishes. The first part of this article is therefore devoted to exploring the taste of the eye (or the foretaste of sight) and highlights the harmony of taste and sight in early modern cuisine. However, the forms of reciprocity between taste and sight cannot be reduced to the sole figure of culinary aesthetics, which tends to blur the other multiple modalities that this sensorial association could reveal. The second part, the sight of the tongue (or the invisibility of taste), thus examines more complex layers of the relationship between the sense of sight and the taste organ, through a study of the representations of the tongue and of the gaping mouth in early modern visual culture. Drawing on early modern textual and iconographic resources and exploring: cookbooks; physiognomic works; conduct books; and also engravings and paintings related to the culinary arts, the seven deadly sins, and representations of madness and the fool in early modern visual culture, this essay argues that examining the representations of the sense organs is a suggestive way to explore the relationship between the senses.     

Mixing Bismarck and child pension systems: an optimum taxation approach

Pensions with a strong tax–benefit link (Bismarck pensions) minimise the labour–leisure distortion of the public pension system. By contrast, pensions with a strong link of benefits to the number of children (child pensions) minimise the fertility distortion. When both types of distortion are present, we obtain a Corlett–Hague result regarding the optimal mix of the two pension formulae: the Bismack pension should be given a positive weight if and only if children are more complementary to leisure than consumption. Alternative fertility instruments such as child benefits turn out to be perfect substitutes to a child pension.     

Local Influence Analysis in AB–BA Crossover Designs

The aim of this article is to develop methodology for detecting influential observations in crossover models with random individual effects. Various case‐weighted perturbations are performed. We obtain the influence of the perturbations on each parameter estimator and on their dispersion matrices. The obtained results exhibit the possibility to obtain closed‐form expressions of the influence using the residuals in mixed linear models. Some graphical tools are also presented.     

Choosing Principal Components: A New Graphical Method Based on Bayesian Model Selection

This article approaches the problem of selecting significant principal components from a Bayesian model selection perspective. The resulting Bayes rule provides a simple graphical technique that can be used instead of (or together with) the popular scree plot to determine the number of significant components to retain. We study the theoretical properties of the new method and show, by examples and simulation, that it provides more clear-cut answers than the scree plot in many interesting situations.     

Rank covariance matrix estimation of a partially known covariance matrix

Classical multivariate methods are often based on the sample covariance matrix, which is very sensitive to outlying observations. One alternative to the covariance matrix is the affine equivariant rank covariance matrix (RCM) that has been studied in Visuri et al. [2003. Affine equivariant multivariate rank methods. J. Statist. Plann. Inference 114, 161–185]. In this article we assume that the covariance matrix is partially known and study how to estimate the corresponding RCM. We use the properties that the RCM is affine equivariant and that the RCM is proportional to the inverse of the regular covariance matrix, and hence reduce the problem of estimating the original RCM to estimating marginal rank covariance matrices. This is a great computational advantage when the dimension of the original data vector is large.