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The Weak Convergence for Functions of Negatively Associated Random Variables

✍ Scribed by Li-Xin Zhang

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 203 KB
Volume: 78
Category: Article
ISSN: 0047-259X
DOI: 10.1006/jmva.2000.1949

No coin nor oath required. For personal study only.

✦ Synopsis

Let [X n , n 1] be a sequence of stationary negatively associated random variables,

Under some suitable conditions, the central limit theorem and the weak convergence for sums

are investigated. Applications to limiting distributions of estimators of Var S n are also discussed.

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