The Supreme Court’s Understanding of Federalism: Efficiency at the Expense of Diversity

This paper is an examination of the Supreme Court of Canada's interpretation of federalism since constitutional repatriation in 1982. It argues that the lure of centralist efficiency is overpowering a fundamentally important part of our federal order: regionalism. The author contends that changes made by the Court to certain fundamental concepts of Canadian constitutional law now provide Parliament with greater latitude than before in the exercise of its legislative powers. According to the author, these changes are disturbing because they are structured so as to preclude consideration of the legitimate concerns of regional polities. Furthermore, he argues that the Court has reinforced the central government's power to regulate the economy, including intraprovincial matters affecting trade, by resorting to highly functional tests that emphasize economic efficiency over other criteria. This, he claims, makes it more difficult to invoke legitimate regional interests that would lead to duplication, overlapping and even, in the eyes of some, inefficiency. The author the focuses on the Court's treatment of environmental protection in an attempt to show the tension between the Court's desire to use a functional approach and the need to recognize regional interests. Finally, through an examination of recent case law, he attemps to demonstrate that the Court's dominant perspective remains functional despite its endorsement of a more community-oriented undestanding of federalism in Secession Reference. If the Court chooses to proceed in this manner, it will alienate regional polities and may encourage them to choose more radical means of asserting their differences. Further, the author argues that strict adherence to the functional effectiveness approach will undermine the very values that federalism is meant to promote.

Exact Multivariate Tests of Asset Pricing Models with Stable Asymmetric Distributions

In this paper, we propose exact inference procedures for asset pricing models that can be formulated in the framework of a multivariate linear regression (CAPM), allowing for stable error distributions. The normality assumption on the distribution of stock returns is usually rejected in empirical studies, due to excess kurtosis and asymmetry. To model such data, we propose a comprehensive statistical approach which allows for alternative - possibly asymmetric - heavy tailed distributions without the use of large-sample approximations. The methods suggested are based on Monte Carlo test techniques. Goodness-of-fit tests are formally incorporated to ensure that the error distributions considered are empirically sustainable, from which exact confidence sets for the unknown tail area and asymmetry parameters of the stable error distribution are derived. Tests for the efficiency of the market portfolio (zero intercepts) which explicitly allow for the presence of (unknown) nuisance parameter in the stable error distribution are derived. The methods proposed are applied to monthly returns on 12 portfolios of the New York Stock Exchange over the period 1926-1995 (5 year subperiods). We find that stable possibly skewed distributions provide statistically significant improvement in goodness-of-fit and lead to fewer rejections of the efficiency hypothesis.

Theory and numerical integration of subsurface light transport

En synthèse d’images, reproduire les effets complexes de la lumière sur des matériaux transluminescents, tels que la cire, le marbre ou la peau, contribue grandement au réalisme d’une image. Malheureusement, ce réalisme supplémentaire est couteux en temps de calcul. Les modèles basés sur la théorie de la diffusion visent à réduire ce coût en simulant le comportement physique du transport de la lumière sous surfacique tout en imposant des contraintes de variation sur la lumière incidente et sortante. Une composante importante de ces modèles est leur application à évaluer hiérarchiquement l’intégrale numérique de l’illumination sur la surface d’un objet. Cette thèse révise en premier lieu la littérature actuelle sur la simulation réaliste de la transluminescence, avant d’investiguer plus en profondeur leur application et les extensions des modèles de diffusion en synthèse d’images. Ainsi, nous proposons et évaluons une nouvelle technique d’intégration numérique hiérarchique utilisant une nouvelle analyse fréquentielle de la lumière sortante et incidente pour adapter efficacement le taux d’échantillonnage pendant l’intégration. Nous appliquons cette théorie à plusieurs modèles qui correspondent à l’état de l’art en diffusion, octroyant une amélioration possible à leur efficacité et précision.