A central limit theorem for weighted sums of associated random field

Mi-Hwa Ko

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 1, 1-8

Abstract: In this paper we obtain the central limit theorem for weighted sums of the form ∑1 ⩽ i ⩽ nan, iXi, where {an,i,n∈Z+d,i∈Z+d,1≤i≤n}$\lbrace a_{\mathbf {n,i}}, \mathbf {n}\in \mathbb {Z}_+^d, \mathbf {i }\in \mathbb {Z}_+^d, \mathbf {1\le i \le n}\rbrace$ is an array of non negative numbers such that supn≥1∑1≤i≤nan,i2

Date: 2016
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DOI: 10.1080/03610926.2013.815212

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