More generally, we find functions whose average slopes over intervals are given by the slope at a weighted average of the endpoints of those intervals. This is equivalent to finding functions ...

Building on Manski and Tamer (2002, Econometrica 70 (2), 519–546) who study nonparametric bounds for mean regression with interval data, we characterize the identified set of weighted average ...

Research from all publishers In recent years, significant strides have been made by introducing new classes of fuzzy-interval-valued functions and developing corresponding integral inequalities.