Nonparametric Inference for Location Parameters via Fréchet Functions
Vic Patrangenaru, Ruite Guo, K. David Yao · 2016
Given a random object on a stratified space, one defines the Fréchet mean, the Fréchet antimeanand additional population parameters associated withits Fréchet function, in case this function is a Morsefunction as well. In this paper we give large sampleand nonparametric bootstrap estimation methods for theseparameters, followed by the consistency of Fréchet sampleantimean and the Central Limit Theorem of Fréchetsample antimean.