Strong laws for exponential order statistics and spacings
β Scribed by A. Astrauskas
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 118 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0363-1672
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π SIMILAR VOLUMES
Strong laws are established for linear statistics that are weighted sums of a random sample. We show extensions of the Marcinkiewicz-Zygmund strong law under certain moment conditions on both the weights and the distribution. These complement the results of Cuzick (1995,
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