Weak convergences of marked empirical processes in a Hilbert space and their applications
Koji Tsukuda,
Yoichi Nishiyama
Abstract:In this paper, weak convergences of marked empirical processes in L 2 (R, ν) and their applications to statistical goodness-of-fit tests are provided, where L 2 (R, ν) is the set of equivalence classes of the square integrable functions on R with respect to a finite Borel measure ν. The results obtained in our framework of weak convergences are, in the topological sense, weaker than those in the Skorokhod topology on a space of cádlág functions or the uniform topology on a space of bounded functions, which hav… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.