Complete Moment Convergence of Weighted Sums for Arrays of Rowwiseφ-Mixing Random Variables | Zendy

Ming Le Guo | Zendy

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Complete Moment Convergence of Weighted Sums for Arrays of Rowwiseφ-Mixing Random Variables

Author(s) -

Ming Le Guo

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/730962

Subject(s) - mathematics , moment (physics) , convergence (economics) , mixing (physics) , sequence (biology) , truncation (statistics) , combinatorics , discrete mathematics , algorithm , statistics , physics , classical mechanics , quantum mechanics , economics , economic growth , biology , genetics

The complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables is investigated. By using moment inequality and truncation method, the sufficient conditions for complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables are obtained. The results of Ahmed et al. (2002) are complemented. As an application, the complete moment convergence of moving average processes based on a φ-mixing random sequence is obtained, which improves the result of Kim et al. (2008)

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