WEALTH AND THE DISTRIBUTION OF INCOME, CANADA 1969–70

This paper explores the sensitivity of the size distribution of family income in Canada to alternative definitions of income. These alternative definitions examine both wealth generally in the form of an annuity equivalent, and home ownership in the form of imputed rent. An adjustment for family size differences is also made. The impact of these adjustments is assessed for average incomes, inequality, and the incidence of low income for different age groups. The adjustments do have significant effects that vary by age; in particular, the economic position of the elderly seems understated by the usual data. Also, methodological considerations, such as the direct use of micro data and the choice of inequality indicator are shown to be significant.     

Sub additive measures of relative information and inaccuracy

Summary In the study of information theoretic measures, additivity has been the basic requirement. However it is quite interesting to investigate the sub-additive measures. Starting from subadditivity for measures associated with a pair of distributions of a discrete random variable, it has been changed into an equality relation using another function of a pair of distributions., Under the sum property of the function and the measures, the relation is expressed in terms of a functional equation of which the most general complex solutions have been obtained. In terms of the real continuous solutions of the functional equation, the sub-additive measures of Relative information and Inaccuracy have been defined and characterized. Particular cases and simple properties particularly the convexities of some of these new measures have also been studied.     

The demand for game day attendance in college football: an analysis of the 1997 Division 1‐A season

This paper develops a predictive model which includes game, team and university specific factors that are likely to influence game day demand for Division 1‐A college football. Attendance during the 1997 regular season is used as the dependent variable. Tobit estimates of two separate equations reveal that the quality of both teams, traditional rivalry and membership of specific conferences have a significant influence on demand. In addition, colleges with lower enrollments and a higher percentage of off‐campus students attract smaller crowds. The presence of a nearby professional football team also detracts from a college team's drawing power. Copyright © 2003 John Wiley & Sons, Ltd.     

Slack-adjusted efficiency measures and ranking of efficient units

In non-parametric methods many units are calculated as efficient. The article suggests a method for ranking efficient units, not by their efficiency, but by importance as benchmarks for the inefficient units, in contrast to earlier suggestions in the literature which rank units high if they are specialized. However, the total potentials for improvement frequently remain unrevealed by calculating radial efficiency measures of the Farrell type only. The article therefore first develops efficiency measures that explicitly extend the radial measures to include slacks. The new measures are applied to a typical multidimensional small-sample data set for Norwegian employment offices.     

Henry George and Organized Labor:

A bstract . Henry George supported labor unions and was proud of his membership in the Printers' Union. But he did not regard them as the final solution of labor exploitation. He championed labor as one of the producing classes. His foray into politics as the candidate of organized labor's third party was characteristic; he had had much involvement in politics earlier. Although he supported labor's immediate demands, he sought mainly to use his candidacy to build a constituency for the single tax. Samuel Gompers , then head of the American Federation of Labor , at first worked for George's election but came to the belief that the unions alone should direct and control their political efforts. This view prevailed, though he and George remained good friends. But it is now a question whether Gompers' policy, at this time, serves labor's best interests.     

Efficiency measurement with multiple outputs and multiple inputs

This paper discusses modeling technical and allocative inefficiencies in both cost minimizing and profit maximizing frameworks with special emphasis on multiple inputs and multiple outputs. Both primal and dual models are considered for this purpose. In the primal approach we use a separable output and input function (the constant elasticity of transformation output function and Cobb-Douglas input function). The dual models assume translog cost or profit functions. Technical inefficiency is assumed to be random in the cross-sectional models, and fixed firm-specific parameter in the panel data models. Allocative inefficiencies are always treated as input-specific parameters. We derive exact relations linking technical inefficiency and allocative inefficiencies to cost and profit when the underlying technology is represented by a flexible functional form such as the translog. It is shown that appending a one-sided homoscedastic error term to model technical inefficiency, or neglecting technical inefficiency altogether in a translog profit tunciton results in model misspecification and inconsistent parameter estimates.     

Air pollution-mortality models: A demonstration of the effects of random measurement error

Errors of measurement have long been recognized as a chronic problem in statistical analysis. Although there is a vast statistical literature of multiple regression models estimating the air pollution-mortality relationship, this problem has been largely ignored. It is well known that pollution measures contain error, but the consequences of this error for regression estimates is not known. We use Lave and Seskin's air pollution model to demonstrate the consequences of random measurement error. We assume a range of 0% to 50% of the variance of the pollution measures is due to error. We find large differences in the estimated effects on mortality of the pollution variables as well as the other explanatory variables once this measurement error is taken into account. These results cast doubt on the usual regression estimates of the mortality effects of air pollution. More generally our results demonstrate the consequences of random measurement error in the explanatory variable of a multiple regression analysis and the misleading conclusions that may result in policy research if this error is ignored.     

Relationship between generalizedh-Statistics and polykays

Summary In this paper, relationships between generalizedh-statistics which estimate powers and products of central moments unbiasedly and the polykays by using ordered partitions are established. A table expressing generalizedh-statistics of weight 12 in terms of polykays and vice versa is presented. Expressions of weight less than 12 are obtained from this table.

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Zusammenfassung In der vorliegenden Arbeit wird mittels geordneter Zerlegungen eine Beziehung zwischen verallgemeinerterh-Statistik, welche Potenzen und Produkte von zentralen Momenten erwartungstreu abschätzt, und polykays hergestellt. Eime Tabele mit verallgemeinerterh-Statistik vom Gewicht 12 in polykay-Termen, und umgekehrt, wird gegeben. Gewichtsausdrücke kleiner als 12 werden aus dieser Tabelle gewonnen.

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This research has been supported by a grant from FINEP/Ministério do Planejamento e Coordenacão Geral to the IMUFRJ.