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https://hdl.handle.net/20.500.14279/14490| Title: | On the existence of uniformly consistent estimates | Authors: | Yatracos, Yannis G. | Major Field of Science: | Social Sciences | Field Category: | Media and Communications | Keywords: | Lx total boundedness of the space of measures;Minimum distance estimation;Uniformly consistent estimation of a functional of a measure | Issue Date: | 1-Jan-1985 | Source: | Proceedings of the American Mathematical Society, Volume 94, Issue 3, July 1985, Pages 479-486 | Journal: | Proceedings of the American Mathematical Society | 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. | URI: | https://hdl.handle.net/20.500.14279/14490 | ISSN: | 10886826 | DOI: | 10.1090/S0002-9939-1985-0787899-6 | Type: | Article | Affiliation : | University of California Rutgers University |
Publication Type: | Peer Reviewed |
| Appears in Collections: | Άρθρα/Articles |
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