Strong law of large numbers for weighted -statistics: Application to incomplete -statistics
β Scribed by Masoud M. Nasari
- Book ID
- 116890481
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 270 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let U m be a U-statistic of order m based on n i.i.d, real random variables. Suppose that m = m(n) changes with n as n--+ cx~. In this work we are concerned with establishing the strong consistency properties for U~ under linear norming. The results are obtained by generalizing the SLLN for arrays o
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