Exact consumer's surplus and deadweight loss are the most widely used welfare and economic efficiency measures. These measures can be computed from demand functions in straightforward ways. Nonparametric estimation can be used to estimate the welfare measures. In doing so, it seems important to...

We reconsider the efficiency bound for the semi-parametric Mixed Proportional Hazard (MPH) model with parametric baseline hazard and regression function, but unspecified distribution of multiplicative unobserved heterogeneity. We show that the efficient score has a singular distribution if and...