Ungünstige Verteilungen bei einparametrigen Parameterschätzproblemen

Summary One of the commonly used methods for determining minimax point estimators is based on least favorable distributions, because Bayes estimators with respect to a least favorable distribution are frequently minimax point estimators. Therefore it is worthwhile to investigate the structure of least favorable distributions. In the present paper it will be proved that, under certain conditions, each least favorable distribution is finite discrete. We give sufficient conditions for point estimation problems with the property that each least favorable distribution is finite discrete. Some examples are presented.     

On atoms of measures on product spaces

We exhibit a relation between atoms of measures on product spaces and atoms of the marginal measures. This sharpens a result of K.P.S. and M. Bhaskara Rao.     

Generalized entropies in coding theory

Equivalence of the generalized entropyH ^β (P, Φ _t ) defined in this paper andKapur’s entropy of orderα and typeβ, ie.H _α ^β (P), is established. The results given recently byCampbell follow as special cases. International Conference on System Sciences, Honolulu, January 1968.     

Portfolio selection in a lognormal securities market

Conclusion This paper, therefore, once again establishes the usefulness of the two parameter distributions in the analysis of portfolio selection and taxation. Assuming a lognormal securities market and a chance-constrained portfolio choice model, we derive the well known results of portfolio separation and the effects of taxation which were earlier obtained under more restrictive mean-variance assumptions.This paper, an earlier version of which was presented at the 8th International Symposium on Mathematical Programming, Stanford University, August 27–31, 1973, is based on a chapter of the author's Ph. D. thesis (Ahsan, 1974). The author is grateful to S. Ahmad, A. B. Atkinson, C. J. Bliss, D. W. Butterfield, A. L. Robb, T. Russell and W. M. Scarth for helpful comments.     

Quotas and the structure of consumer demand

In the direct utility function, quantities axe exogenous, while prices and total expenditure are endogenous. Consequently, this utility function is appropriate for analyzing the impact on prices and total expenditure from an exogenous change in the quantity of a commodity. Such an exogenous change in quantity could occur when quotas change. The direct translog utility function is estimated for a four commodity breakdown of U.S. expenditure. Estimates of quantity elasticities of price and expenditure indicate that domestically produced non-durables are necessities. As a result, the imposition of quotas on these goods will be particularly deleterious to lower income consumers.     

The Pacific basin in world trade an analysis of changing trade patterns, 1955–1975

In two previous papers by the same authors the data basis for the trade flows and the export prices in the Pacific Basin has presented and documented. In this third report the changing pattern of Pacific Basin trade over the period 1955–1975 is analyzed, using as tools export growth decomposition indexes, trend analysis, and regression analysis of the price elasticity of import market shares.