1,538 research outputs found
STRUCTURE OF SOUTH CENTRAL AGRICULTURAL PRODUCTION
Using a dual economic specification of a multiproduct technology, the structure of agricultural production was tested for five South Central states (Texas, Oklahoma, Arkansas, Mississippi, and Louisiana). A comprehensive set of output supplies and input demands comprised the estimation equations in each state. Evidence of nonjoint production in a subset of commodities was detected in four of the five states. Several commodities also satisfied sufficient conditions for consistent aggregations. However, the specific outputs satisfying each structural property varied by state. Sufficient conditions for consistent geographic aggregation across the states were not satisfied. These results provide empirical guidance and important cautions for legitimately simplifying state-level model specifications of southern agricultural production.Industrial Organization,
Near equality in the Riesz-Sobolev inequality in higher dimensions
The Riesz-Sobolev inequality provides an upper bound for a trilinear
expression involving convolution of indicator functions of sets. It is known
that equality holds only for homothetic ordered triples of appropriately
situated ellipsoids. We characterize ordered triples of subsets of Euclidean
space that nearly realize equality, for arbitrary dimensions ,
extending a result already known for
The relationship between Mathematical Utility Theory and the Integrability Problem: some arguments in favour
The resort to utility-theoretical issues will permit us to propose a constructive procedure for deriving a homogeneous of degree one, continuous function that gives raise to a primitive demand function under suitably mild conditions. This constitutes the first elementary proof of a necessary and sufficient condition for an integrability problem to have a solution by continuous (subjective utility) functions. Such achievement reinforces the relevance of a technique that was succesfully formalized in Alcantud and RodrÃguez-Palmero (2001). The analysis of these two works exposes deep relationships between two apparently separate fields: mathematical utility theory and the revealed preference approach to the integrability problem.Strong Axiom of Homothetic Revelation; revealed preference; continuous homogeneous of degree one utility; integrability of demand.
Asymptotic independence for unimodal densities
Asymptotic independence of the components of random vectors is a concept used
in many applications. The standard criteria for checking asymptotic
independence are given in terms of distribution functions (dfs). Dfs are rarely
available in an explicit form, especially in the multivariate case. Often we
are given the form of the density or, via the shape of the data clouds, one can
obtain a good geometric image of the asymptotic shape of the level sets of the
density. This paper establishes a simple sufficient condition for asymptotic
independence for light-tailed densities in terms of this asymptotic shape. This
condition extends Sibuya's classic result on asymptotic independence for
Gaussian densities.Comment: 33 pages, 4 figure
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