FUNCTIONAL FORM SPECIFICATION IN THE QUARTERLY DEMAND FOR RED MEATS IN CANADA

Most demand studies, particularly those for food products, choose somewhat arbitrarily either a linear or a log-linear functional form. Since choice of functional form has implications for elasticities and their properties over time, either form may be considered restrictive. An empirical test of functional form in the short-run (quarterly) demand for four red meats is presented in this paper. For beef demand, neither a linear nor a log-linear form is appropriate. Similarly for pork and lamb demand, a linear functional form is not appropriate, but the log-linear one is. For veal demand, although data supported both function forms, a linear form is preferred when seasonal influences are accounted for.Demand and Price Analysis, Livestock Production/Industries,

Expected Supremum of a Random Linear Combination of Shifted Kernels

We address the expected supremum of a linear combination of shifts of the sinc kernel with random coefficients. When the coefficients are Gaussian, the expected supremum is of order \sqrt{\log n}, where n is the number of shifts. When the coefficients are uniformly bounded, the expected supremum is of order \log\log n. This is a noteworthy difference to orthonormal functions on the unit interval, where the expected supremum is of order \sqrt{n\log n} for all reasonable coefficient statistics.Comment: To appear in the Journal of Fourier Analysis and Application