Nonparametric estimation of weighted proportions with application to particle size measurement
加权比例的非参数估计及粒径测量应用
Weighted proportions arise naturally in particle size measurement where one is interested in estimating the proportion of the total volume or surface corresponding to specific particle diameters. The particles are assumed to be spherical, and observations consist of the particle diameters. We consider the weighted proportion as a nonparametric functional of the diameter distribution, and investigate how well this functional can be estimated. It is shown that the commonly…