On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables | Zendy

Soo Hak Sung | Zendy

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On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables

Author(s) -

Soo Hak Sung

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/630583

Subject(s) - convergence (economics) , mathematics , mixing (physics) , random variable , algorithm , statistics , physics , quantum mechanics , economics , economic growth

A rate of complete convergence for weighted sums of arrays of rowwise independent random variables was obtained by Sung and Volodin (2011). In this paper, we extend this result to negatively associated and negatively dependent random variables. Similar results for sequences of φ-mixing and ρ*-mixing random variables are also obtained. Our results improve and generalize the results of Baek et al. (2008), Kuczmaszewska (2009), and Wang et al. (2010)

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