Listen and learn

After making a solicitation, a lot can be gained by listening to a donor's questions. Do not simply answer the question. Consider why they asked it in the first place.     

Marginal distributions of sequential and generalized order statistics

Expressions for marginal distribution functions of sequential order statistics and generalized order statistics are presented without any restrictions imposed on the model parameters. The results are related to the relevation transform, to the distribution of the product of Beta distributed random variables, and to Meijers G-functions. Some selected applications in the areas of moments, conditional distributions, recurrence relations, and reliability properties are shown. Key words:Order statistics; Generalized order statistics; Sequential order statistics; Record values; Distribution theory; Meijers G-function; Recurrence relations; Reliability properties.     

A model of public sector wage determination

The paper presents an empirical model of wage determination in the public sector that leads to the specification of a system of interrelated wage equations for municipal employees, which allows for occupational and geographic interdependence of wages. The model also considers the influence of public employee unions, municipal government form, and monopsony power of local governments on the wages of municipal employees. Several variants of the derived system of equations are estimated based upon 1967 cross-section data for 478 cities, and the policy implications of the results are discussed.     

Estimation of a non-invertible moving average process: The case of overdifferencing

The effect of differencing all of the variables in a properly specified regression equation is examined. Excessive use of the difference transformation induces a non-invertible moving average (MA) process in the disturbances of the transformed regression. Monte Carlo techniques are used to examine the effects of overdifferencing on the efficiency of regression parameter estimates, inferences based on these estimates, and tests for overdifferenccing based on the estimator of the MA parameter for the disturbances of the differences regression. Overall, the problem of overdifferencing is not serious if careful attention is paid to the properties of the disturbances of regression equations.     

Effect of outliers on the estimation of parameters

Summary The estimation of parameter in the type of distributionf(x)=b x ^{–1 /b} exp (–x ^b (/b),x>0, is considered, when several outliers of the type , ,r=1,2, ...,k, are present in the data. The estimates of as well as of 's are put in the closed form. Special cases, Weibull, Gamma and Exponential are considered for the case of single outlier. Actual estimates are calculated from the generated samples of size 2 and 3 for the Weibull and Exponential.     

Reduced Form Auctions Revisited

This note uses the Theorem of the Alternative to prove new results on the implementability of general, asymmetric auctions, and to provide simpler proofs of known results for symmetric auctions. The tradeoff is that type spaces are taken to be finite.     

A brief study of age specific birth proportions,Japan and Singapore

The suitability of age-specific birth proportions (ASBP), or percentage distribution of births, as a rough and ready index of fertility change was analyzed by establishing a theoretical framework for its limitations and uses. The discussion suggested that the utility of ASBP as an indicator of fertility change depends on the characteristics and behavior of the population being considered. The concept was then empirically applied to birth trends in Japan and Singapore for 2 different time periods. Analysis suggested that ASBP trends in Japan reflected changes in age-specific fertility rates relative to general fertility rate as well as trends in parity distribution. The Singapore analysis was more complicated, raising different issues. As very limited empirical work has been done on ASBPs, the utility of ASBPs as an indicator of fertility change cannot be definitely ascertained. It was suggested however that ASBP trends may be applicable in countries where the age distribution of fertile-aged women is fairly stable. More empirical research should be done on ASBP trends in other countries, the behavior of A matrix as discussed in this paper, and useful empirical relationship of ASBP with other fertility measures.