Mean rates of convergence of empirical measures in the Wasserstein metric
β Scribed by Joseph Horowitz; Rajeeva L. Karandikar
- Book ID
- 107989075
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 733 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
It has been shown previously by Nobel and Dembo (Stat. Probab. Lett. 17 (1993) 169) that, if a family of functions F has the property that empirical means based on an i.i.d. process converge uniformly to their values as the number of samples approaches inΓΏnity, then F continues to have the same prop
In this paper, on the Sugeno's fuzzy measures space, we ΓΏrst put forward the concepts of the weak convergence and the metric of fuzzy measures. And then, an equivalent condition on the weak convergence of sequences of fuzzy measure are given. Finally, in the sense of this metric, we obtain that the