Nonparametric Instrumental Regression

The focus of the paper is the nonparametric estimation of an instrumental regression function P defined by conditional moment restrictions stemming from a structural econometric model : E[Y-P(Z)|W]=0 and involving endogenous variables Y and Z and instruments W. The function P is the solution of an ill-posed inverse problem and we propose an estimation procedure based on Tikhonov regularization. The paper analyses identification and overidentification of this model and presents asymptotic properties of the estimated nonparametric instrumental regression function.

Finite-Sample Inference Methods for Simultaneous Equations and Models with Unobserved and Generated Regressors

We propose finite sample tests and confidence sets for models with unobserved and generated regressors as well as various models estimated by instrumental variables methods. The validity of the procedures is unaffected by the presence of identification problems or \"weak instruments\", so no detection of such problems is required. We study two distinct approaches for various models considered by Pagan (1984). The first one is an instrument substitution method which generalizes an approach proposed by Anderson and Rubin (1949) and Fuller (1987) for different (although related) problems, while the second one is based on splitting the sample. The instrument substitution method uses the instruments directly, instead of generated regressors, in order to test hypotheses about the \"structural parameters\" of interest and build confidence sets. The second approach relies on \"generated regressors\", which allows a gain in degrees of freedom, and a sample split technique. For inference about general possibly nonlinear transformations of model parameters, projection techniques are proposed. A distributional theory is obtained under the assumptions of Gaussian errors and strictly exogenous regressors. We show that the various tests and confidence sets proposed are (locally) \"asymptotically valid\" under much weaker assumptions. The properties of the tests proposed are examined in simulation experiments. In general, they outperform the usual asymptotic inference methods in terms of both reliability and power. Finally, the techniques suggested are applied to a model of Tobin’s q and to a model of academic performance.

Semi-Parametric Weak Instrument Regressions with an Application to the Risk-Return Trade-off

Recent work shows that a low correlation between the instruments and the included variables leads to serious inference problems. We extend the local-to-zero analysis of models with weak instruments to models with estimated instruments and regressors and with higher-order dependence between instruments and disturbances. This makes this framework applicable to linear models with expectation variables that are estimated non-parametrically. Two examples of such models are the risk-return trade-off in finance and the impact of inflation uncertainty on real economic activity. Results show that inference based on Lagrange Multiplier (LM) tests is more robust to weak instruments than Wald-based inference. Using LM confidence intervals leads us to conclude that no statistically significant risk premium is present in returns on the S&P 500 index, excess holding yields between 6-month and 3-month Treasury bills, or in yen-dollar spot returns.

Projection-Based Statistical Inference in Linear Structural Models with Possibly Weak Instruments

It is well known that standard asymptotic theory is not valid or is extremely unreliable in models with identification problems or weak instruments [Dufour (1997, Econometrica), Staiger and Stock (1997, Econometrica), Wang and Zivot (1998, Econometrica), Stock and Wright (2000, Econometrica), Dufour and Jasiak (2001, International Economic Review)]. One possible way out consists here in using a variant of the Anderson-Rubin (1949, Ann. Math. Stat.) procedure. The latter, however, allows one to build exact tests and confidence sets only for the full vector of the coefficients of the endogenous explanatory variables in a structural equation, which in general does not allow for individual coefficients. This problem may in principle be overcome by using projection techniques [Dufour (1997, Econometrica), Dufour and Jasiak (2001, International Economic Review)]. AR-types are emphasized because they are robust to both weak instruments and instrument exclusion. However, these techniques can be implemented only by using costly numerical techniques. In this paper, we provide a complete analytic solution to the problem of building projection-based confidence sets from Anderson-Rubin-type confidence sets. The latter involves the geometric properties of “quadrics” and can be viewed as an extension of usual confidence intervals and ellipsoids. Only least squares techniques are required for building the confidence intervals. We also study by simulation how “conservative” projection-based confidence sets are. Finally, we illustrate the methods proposed by applying them to three different examples: the relationship between trade and growth in a cross-section of countries, returns to education, and a study of production functions in the U.S. economy.

Identification, Weak Instruments and Statistical Inference in Econometrics

We discuss statistical inference problems associated with identification and testability in econometrics, and we emphasize the common nature of the two issues. After reviewing the relevant statistical notions, we consider in turn inference in nonparametric models and recent developments on weakly identified models (or weak instruments). We point out that many hypotheses, for which test procedures are commonly proposed, are not testable at all, while some frequently used econometric methods are fundamentally inappropriate for the models considered. Such situations lead to ill-defined statistical problems and are often associated with a misguided use of asymptotic distributional results. Concerning nonparametric hypotheses, we discuss three basic problems for which such difficulties occur: (1) testing a mean (or a moment) under (too) weak distributional assumptions; (2) inference under heteroskedasticity of unknown form; (3) inference in dynamic models with an unlimited number of parameters. Concerning weakly identified models, we stress that valid inference should be based on proper pivotal functions —a condition not satisfied by standard Wald-type methods based on standard errors — and we discuss recent developments in this field, mainly from the viewpoint of building valid tests and confidence sets. The techniques discussed include alternative proposed statistics, bounds, projection, split-sampling, conditioning, Monte Carlo tests. The possibility of deriving a finite-sample distributional theory, robustness to the presence of weak instruments, and robustness to the specification of a model for endogenous explanatory variables are stressed as important criteria assessing alternative procedures.

The role of NGOs in global health research for development

Affiliation: Hélène Delisle: Département de nutrition, Faculté de médecine, Université de Montréal

Driedger's 'Modern Principle' at the Supreme Court of Canada: Interpretation, Justification, Legitimization

Un résumé en français est également disponible

The Foreigner and the Right to Justice in the Aftermath of September 11th

Breakfast on the Hill Lecture Series, Canadian Federation for the Humanities and Social Sciences, Parliamentary Restaurant, Ottawa, 19 mai 2005

Canada’s Unfathomable Unwritten Constitutional Principles

Since the advent of the Canadian Charter of Rights and Freedoms in 1982, Canadians courts have become bolder in the law-making entreprise, and have recently resorted to unwritten constitutional principles in an unprecedented fashion. In 1997, in Reference re Remuneration of Judges of the Provincial Court of Prince Edward Island, the Supreme Court of Canada found constitutional justification for the independence of provincially appointed judges in the underlying, unwritten principles of the Canadian Constitution. In 1998, in Reference re Secession of Quebec, the Court went even further in articulating those principles, and held that they have a substantive content which imposes significant limitations on government action. The author considers what the courts' recourse to unwritten principles means for the administrative process. More specifically, he looks at two important areas of uncertainty relating to those principles: their ambiguous normative force and their interrelatedness. He goes on to question the legitimacy of judicial review based on unwritten constitutional principles, and to critize the courts'recourse to such principles in decisions applying the principle of judicial independence to the issue of the remuneration of judges.

El extranjero y el derecho a la justicia en Canadá tras el 11 de septiembre

After the events of September 11, the fear of terrorism led to the adoption of new anti-terrorist measures (elimination of appeals available to foreigners, reduction of legal aid, increased powers of detention, easier use of security certificates…). But in Canadian Charter of Rigths and Freedoms only the right to vote and be elected, the right to enter and remain in the country and the minority language educational rights specifically protect citizens. The protection of Canadian citizens cannot be based on the denial of foreigner´s rights. The same rights are at stake: The violation of a foreigners´s rights is a violation of citizen´s rights.

Signification de l’expérience de la phase palliative du cancer, pour des personnes atteintes et leurs familles des Baléares, alors que le pronostic leur est connu

Le cancer est considéré comme l’une des principales causes de morbidité et de mortalité et, en Espagne, représente à lui seul 25% du taux de mortalité globale. Lorsqu’une personne et sa famille font l’expérience de traverser la phase avancée du cancer, celles-ci vivent un grand choc émotionnel où les souffrances physique, psychique et spirituelle peuvent être présentes. L’information donnée par les professionnels de la santé aux membres de la famille, incluant la personne atteinte, en ce qui concerne le diagnostic et le pronostic du cancer est maintenant plus fréquente dans le contexte méditerranéen. Il n'est pas clair, toutefois, comment cette nouvelle approche est vécue par les familles. C’est pourquoi, le but de cette recherche qualitative de type phénoménologique est d’explorer la signification de l’expérience de familles dont l’un des membres est atteint d’un cancer terminal, alors que tous connaissent le pronostic de la maladie. Les résultats obtenus reposent sur l’analyse en profondeur d’entrevues réalisées auprès de quatre couples. L’analyse des données, à l’aide de la méthode phénoménologique de Giorgi (1997), fait émerger deux thèmes centraux caractérisant la signification de cette expérience de la phase palliative de cancer, alors que l’information sur le mauvais pronostic est connue tant par la personne atteinte que sa famille. Le premier thème central est celui de vivre intensément la perte de la vie rêvée et comporte le vécu suite au choc du pronostic fatal, le fait de vivre constamment des sentiments et des émotions liés à différentes pertes telles que la tristesse, la frustration, l’inquiétude et l’incertitude, et l’espoir de ne pas souffrir. Le deuxième thème central qui ressort est le développement de stratégies par les couples participants afin de rendre leur vie plus supportable. Ces stratégies sont les suivantes : accueillir l’information et le soutien professionnel, retrouver une certaine normalité dans la vie quotidienne, profiter de la vie, recevoir l’aide de la famille et des amis, maintenir une communication cognitive et instrumentale ouverte, se protéger au niveau émotionnel et envisager l’avenir sans la personne aimée. Tous ces éléments, dans le contexte individuel de vie de chaque famille transforment chacun de ces vécus en une expérience unique qui doit être comprise et respectée comme telle par tous les professionnels de la santé impliqués. Les connaissances développées par cette recherche permettront aux infirmières de mieux comprendre l’expérience de la phase palliative du cancer pour des couples dont le diagnostic et le pronostic fatal sont connus par tous, ceci afin d’améliorer leur qualité des soins. Afin de poursuivre le développement du savoir infirmier, il est recommandé de poursuivre des études afin d’explorer plus en profondeur la communication au sein des couples.

La liberté de religion et les intérêts de l'enfant au Canada

"Mémoire présenté à la Faculté des études supérieures en vue de l'obtention du grade de LL.M. en droit option recherche"

Juger les lois la légitimité démocratique et la fonction du contrôle judiciaire de constitutionnalité

"Thèse présentée à la Faculté des études supérieures en vue de l'obtention du grade de doctorat en droit (LL.D.)"