A central limit theorem for weighted sums of associated random field. Issue 1 (2nd January 2016)

• Record Type: Journal Article
• Authors: Ko, Mi-Hwa
• Is Part Of: Communications in statistics. Volume 45:Issue 1(2016)
• Page Start: 1
• Page End: 8
• Publication Date: 2016-01-02
• Subjects: Associated -- Central limit theorem -- Random field -- Uniformly integrable -- Weighted sums; 60F05; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2013.815212
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: In this paper we obtain the central limit theorem for weighted sums of the form ∑1 ⩽ i ⩽ n a n, i X i, where is an array of non negative numbers such that, max 1 ⩽ i ⩽ n a n, i → 0 as n → ∞ and is a field of associated random variables with EX i = 0 and EX 2 i < ∞. As application, we give a central limit theorem for the partial sum of linear random field .