The paper proves a functional local law of the iterated logarithm and a moderate deviation principle for properly normalized geometrically weighted random series of centered independent normal real random variables with variances satisfying Kolmogorov's conditions. The methodology used here allows a
A law of the iterated logarithm for geometrically weighted series of negatively associated random variables
β Scribed by Wei Huang
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 241 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
Let {X n ; n ΒΏ 0} be a sequence of negatively associated random variables. we consider its geometrically weighted series (ΓΏ) = β n = 0 ΓΏ n X n for 0 Β‘ ΓΏ Β‘ 1 and establish the LIL for (ΓΏ) as ΓΏ 1.
π SIMILAR VOLUMES
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