On the existence of uniformly consistent estimates
Journal
Proceedings of the American Mathematical Society
Date Issued
January 1, 1985
Author(s)
DOI
10.1090/S0002-9939-1985-0787899-6
Abstract
Let M be a family of probability measures on (X, A) and U the uniform structure defined by vicinities of the form (formule presented) where Pn is the product measure on (formula presented), where (formula presented) We consider the case where the space of measures M is Lt separable and relate the existence of uniformly consistent estimates for φ* (P) with uniform continuity of φ* and L1-total boundedness of M. © 1985 American Mathematical Society.