Consistent estimation in the bilinear multivariate errors-in-variables model

A bilinear multivariate errors-in-variables model is considered. It corresponds to an overdetermined set of linear equations AXB=C, A∈ℝ^m×n, B∈ℝ^p×q, in which the data A, B, C are perturbed by errors. The total least squares estimator is inconsistent in this case.  An adjusted least squares estimator is constructed, which converges to the true value X, as m →∞, q →∞. A small sample modification of the estimator is presented, which is more stable for small m and q and is asymptotically equivalent to the adjusted least squares estimator. The theoretical results are confirmed by a simulation study. Acknowledgements. We thank two anonymous reviewers for their suggestions and corrections.? A. Kukush is supported by a postdoctoral research fellowship of the Belgian office for Scientific, Technical and Cultural Affairs, promoting Scientific and Technical Collaboration with Central and Eastern Europe.? S. Van Huffel is a full professor with the Katholieke Universiteit Leuven.? I. Markovsky is a research assistant with the Katholieke Universiteit Leuven.? This paper presents research results of the Belgian Programme on Interuniversity Poles of Attraction (IUAP V-22), initiated by the Belgian State, Prime Minister's Office – Federal Office for Scientific, Technical and Cultural Affairs of the Concerted Research Action (GOA) projects of the Flemish Government MEFISTO-666 (Mathematical Engineering for Information and Communication Systems Technology), of the IDO/99/03 project (K.U. Leuven) “Predictive computer models for medical classification problems using patient data and expert knowledge”, of the FWO projects G.0078.01, G.0200.00, and G0.0270.02.? The scientific responsibility is assumed by its authors.     

Principles for a European Union''s Public Debt

The EU has neither the power to tax nor the right to run a public debt. We analyze if the EU should receive the right for public indebtedness. We make use of the normative theory of public indebtedness and of positive political economy analysis. Our normative analysis identified specific cases for an appropriate use of public indebtedness. According to the political economy analysis, a misuse of public debt may be possible. As the implementation of strict constitutional constraints can limit this misuse, we propose the assignment of a right to public borrowing to the EU within tight constitutional restrictions.     

Do Mothers Matter? A Comparison of Models of the Influence of Mothers' and Fathers' Educational and Occupational Status on Children's Educational Attainment

The first objective of this article is to clarify which model best captures the structure and trend of the influence of social origin on children's education. The second objective is to analyse how general conclusions on historical trends in educational reproduction change if we add mother's status background to the model. Six contrasting hypotheses are derived fromthe body of literature dealing with models on families' socioeconomic status. All hypotheses are translated into empirical models and their explained variance is compared. A pooled data set is used that contains data from the Netherlands, West Germany, and the USA. The Modified Dominance Model, that distinguishes the influence of the highest from thelowest status parent, has the best model fit. Regarding the second objective we see that adding the mother's influence to that of the father's does not change general conclusions on trends in educational reproduction. Over time the influence of both parents decreases continuously. However, the influence of the mother's education and occupational status on children's educational attainment is substantive.     

Protection for sale with imperfect rent capturing

Abstract .  Grossman and Helpman (1994) explain tariffs as the outcome of a lobbying process. In most empirical implementations of this framework protection is instead measured using non-tariff barriers. Since tariffs allow the government to fully capture the rents from protection, while non-tariff barriers do not, the existing parameter estimates of the protection for sale model are likely to be biased. To address this problem, we augment the framework by considering instruments that allow partial capturing. Our specification is supported by the data, where we find that only 72–75% of the rent from protection is appropriated by the government.     

The Recognition and Timing of Deferred Tax Liabilities

Abstract:   This paper examines the characteristics of firms that account for deferred tax liabilities related to government investment grants under an extended adoption timing period. Not only the recognition but also the timing decision is associated with changes in future performance and changes in the debt structure. Recognisers outperform non‐recognisers in the future, while early recognition is related to post recognition performance but only for those firms that currently perform well. Changes in the balance sheet structure are also related to both decisions. Firms with recent increases in the debt level tend to postpone recognition, while currently well‐performing firms that increase their future debt level are less likely to recognise deferred taxes.     

Rumors

A Kyle (1985) model with private information diffusion is used to examine the motivation to spread stock tips. An informed investor with limited investment capacity spreads imprecise rumors to an audience of followers. Followers trade on the advice and move the price. Due to the imprecision of the rumor, the price overshoots with positive probability. This gives the rumormonger the opportunity to trade twice: First when she receives information, then when she knows the price to be overshooting. In equilibrium, rumors are informative and both rumormongers and followers increase their profits at the expense of uninformed liquidity traders.     

The biological reserve: The future's last stand

This article addresses the societal and cultural aspects of bioreserves and environmental restoration programmes. It begins with a discussion of bioreserves, then uses the example of a Man and Biosphere (MAB) inspired study of the US Everglades to illustrate how land has been shaped historically by culture and technology. It then demonstrates how current conflicts of values and culture, from both inside and outside the region, from interest groups with both pragmatic and emotional stances, are determining the future of an environment—the Everglades. The article thereby shows how human values and perceptions impact on the development of a sustainable Everglades, using the findings of surveys and public meetings to highlight the interests of the competing communities, ethnic and interest groups involved. If bioreserves are to survive they cannot become alienated from the people in the regions in which they are located.     

Operational Research and the environment

The discipline of Operational Research (OR) is primarily concerned with improving the effectiveness and efficiency of decision processes. These processes take place everywhere in society: industry, banking, agriculture, government, politics. Frequent use of mathematical optimization models is typical of OR. Since the early '80s these models are increasingly packaged in a user-friendly way, as Decision Support Systems. In the following we will illustrate how OR can be used to describe and solve a number of environmental problems.     

Trade uncertainty and the two-step procedure: The choice of numeraire and exact indexation

Summary In a small open economy it is optimal to first maximize national income and second choose the best consumption point.The same two-step procedure under (quantitative) uncertainty is suboptimal if one of the goods is used as numéraire. Optimality is restored however, if nominal prices are deflated by the exact price index. Hence there is equivalence between the appropriate two-step procedure and the introduction of a stock market under uncertainty (Diamond 1967) under ideal circumstances.I would like to thank, without implicating, Peter van Bergeijk, Steven Brakman, Willem Buiter, Richard Gigengack, Jean-Marie, Viaene, Casper de Vries and an anonymous referee for useful comments and Angelique van Haasteren and Martijn Herrmann for graphical assistance.