Ulteriori contributi a un problema di Leo Moser

Si dimostrano condizioni necessarie e sufficienti relative a punti di Kuhn-Tucker per il «problema dei dadi truccati» e viene proposto un algoritmo per la ricerca di tali punti, tramite una successione di programmi lineari.

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The author's version of the «loaded dice problem» asks for x₁ to be maximum subject tox0 andx ^T H _i x1, whereH _i is the Hankel matrix of the (2n–1)-dimensional unity vectore ⁱ (i=1,..., 2n–1).Proofs are given here about necessary and sufficient conditions for Kuhn-Tucker points, together with an algorithm for finding them by means of a sequence of linear programs.

     

Econometric modelling with non-normal disturbances

This paper analyzes a general class of non-normal density functions (dubbed Sargan densities) in the context of the ordinary regression model and the simple one-market disequilibrium model. Use of the normal density in disequilibrium models is unwieldy, especially for multimarket models, since the application of maximum likelihood methods requires numerical evaluation of multiple integrals. These difficulties are avoided with the Sargan densities, and based on both asymptotic results and limited sampling experiments, these densities appear to offer a promising alternative to the normal in disequilibrium models.