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Pseudo Maximum Likelihood Methods: Applications to Poisson Models
Pseudo maximum likelihood techniques are applied to basic Poisson models and to Poisson models with specification errors. In the latter case it is shown that consistent and asymptotically normal estimators can be obtained without specifying the p.d.f. of the disturbances. These estimators are compared both from the finite sample and the asymptotic point of view. Quasi generalized PML estimators, which asymptotically dominate all PML estimators, are also proposed. Finally, bivariate and panel data Poisson models are discussed. THE ANALYSIS OF ECONOMIC BEHAVIOR often leads to the study of characteristics taking a small number of positive values. The classical linear model is not adapted to explain how such discrete variables depend on other quantitative or qualitative variables. The reasons are similar to those usually given in the case of an endogenous qualitative variable: the shape of the observation set does not correspond to a linear model, the assumption of normality of the disturbances cannot be made, since the endogenous variables take a small number of values with strictly positive probabilities, and the prediction formulae which are deduced from a linear model give impossible values. In the models considered in the literature to describe discrete variables (Cox and Lewis [2], El. Sayyad [3], Frome, Kutner, and Beauchamp [4], Gilbert [5], Hausman, Hall, and Griliches [8]; see also Lancaster [12]) the endogenous variable is assumed to have a Poisson distribution conditional upon the exogenous variables. The parameter of this distribution is a function of the values of the exogenous variables. The choice of such a model is justified if the dependent variable counts the occurrence of a given event during a fixed period and if the usual assumptions of the Poisson process are satisfied. For instance, the model is adapted to describe daily numbers of oil tankers' arrivals in a port, the number of accidents at work by factory, or the number of patents applied for and received by firms (Hausman, Hall, and Griliches [8]).
Complete Bibliography of the Works of Melvin W. Reder
Permanent and Transitory Substitution Effects in Health Insurance Experiments
Participants in labor market experiments are aware that the experiments run for a limited amount of time. Thus behavior during a temporary experiment will be different than if the experimental change in constraints confronting participants were permanent. In evaluating changes in policy, however, the response to permanent changes is of primary interest. The paper analyzes conditions under which permanent responses can be inferred from data on temporary experiments.
The Demand for Labor Market Structure: An Economic Approach
This paper formulates and estimates a model for the determination of employer and union demand for multiemployer (vs. single employer) bargaining units. Utility-maximizing, risk-averse firms and unions are both assumed to weigh the impact of each type of bargaining unit on the expected level and variability of profits and wages, respectively. The model is tested on a 1975 sample of 3,486 individual collective bargaining agreements. Because either party can generally leave a multiemployer unit without the other party's consent, a partially observed bivariate probit model is used to estimate demand for structure. It is found that the forgone profits due to a multiemployer unit (relative to a single-firm unit) lower firm demands for this type of unit, while forgone wages in a multiemployer unit (relative to a single-firm unit) lower union demand for this type of unit.
Some Reflections on Melvin W. Reder
Self-Selection via Fringe Benefits
This paper extends the theory of self-selection to circumstances in which economic agents have some access to markets. We use the analysis to explain the existence of multidimensional compensation packages in the presence of limited (re)marketability. Employment contracts that include fringe benefits are prominent examples of such multidimensional packages.
Longitudinal Analysis of the Effect of Trade Unions
The Distinguishing Characteristics of Temporary and Permanent Layoffs
This paper develops a theory of layoffs in an intertemporal setting in which job separations may occur in each of several successive periods. Theoretical analysis of temporary layoffs in previous studies has been limited to models in which the layoffs occur only in the final period of the model. This multiperiod implicit contract framework enables us to identify distinguishing characteristics of temporary and permanent layoffs that were heretofore blurred or distorted in previous contract analyses.
Wage Contracts When Output Grows Stochastically: The Roles of Mobility Costs and Capital Market Imperfections
The paper considers an industry in which individual output follows a stochastic growth process with a cumulative effect. It analyzes the roles of labor mobility and capital market conditions in the determination of wage contracts. Positive costs of mobility are shown to be necessary for the provision of wage and employment insurance when workers have no access to the capital market. When insurance is provided, wages grow less than average productivity. If the capital market is perfect, wage insurance will be provided even in the absence of costs of mobility. In this case, wages grow faster than average productivity.