We examine the estimation problem for shape-restricted functions that are continuous, non-negative, monotone non … dense in the set of shape-restricted functions. Under some mild conditions, we show that this sieve estimator of the true …

Motivated by the economic theory of cost functions, bivariate Bernstein polynomials are considered for approximating … shape-restricted functions that are continuous, non-negative, monotone non-decreasing, concave, and homogeneous of degree … one. We show the explicit rates of convergence of our approximating polynomials for general functions. We prove some …

stringent assumptions on individual production functions and on market structure. In this article the likelihood that an …

conditional changes of action. For linear likelihood functions the processing value proves to be piecewise linear with convexities …

functions are described by random multiplicative processes and have a truncated power-law distribution, with a cut-off that … packing becomes hyperstatic, and the abovementioned anomalous properties disappear because Green functions now have a bounded …