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Marcinkiewicz strong laws for linear statistics

✍ Scribed by Z.D. Bai; Philip E. Cheng

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
96 KB
Volume
46
Category
Article
ISSN
0167-7152

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✦ Synopsis

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,

πŸ“œ SIMILAR VOLUMES

Strong law of large numbers for U-statis
Strong law of large numbers for U-statistics of varying order
✍ Grzegorz RempaΕ‚a πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 322 KB

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