Strong laws for weighted sums of random elements

Authors
Liang, HY Su, C
Citation
Hy. Liang et C. Su, Strong laws for weighted sums of random elements, STAT SINICA, 10(3), 2000, pp. 1011-1019
Citations number
10
Categorie Soggetti
Mathematics
Journal title
STATISTICA SINICA
ISSN journal
10170405 → ACNP
Volume
10
Issue
3
Year of publication
2000
Pages
1011 - 1019
Database
ISI
SICI code
1017-0405(200007)10:3<1011:SLFWSO>2.0.ZU;2-O
Abstract
Strong laws of large numbers for weighted sums of independent random variab les are proved for Banach spaces of type p. Chen, Zhu and Fang's (1996) res ults on real-valued i.i.d. random variables are extended and generalized, a nd their unsolved problem is answered. Also, necessary conditions for these strong convergences are considered.