The strong law of U-statistics with φ∗-mixing samples
✍ Scribed by Wang Qiying
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 158 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0167-7152
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📜 SIMILAR VOLUMES
For the class of U-statistics based on multidimensionally indexed random variables introduced in Christofides ( ), an improved rate of convergence in the strong law of large numbers is obtained using martingale inequalities and other results. In addition, the same rate of convergence is obtained for
This paper studies the almost sure convergence of U -statistics which depend on a parameter. We give a set of su cient conditions for uniform convergence, in the parameter, with probability one. An example of selecting a transformation to near symmetry illustrates how the result may be applied to st