Methods are proposed for testing stochastic dominance of any pre--specified order, with primary interest in the distributions of income. We consider consistent tests, that are similar to Kolmogorov--Smirnov tests, of the complete set of restrictions that relate to the various forms of stochastic...

This paper considers the problem of determining the number of factors in a multivariate nonparametric relationship. The definition of factors given is broad enough to encompass a number of potential applications in econometrics, including inferring the rank of demand, consistent tests for lack...