Rate of complete convergence for maximums of moving average sums of martingale difference fields in Banach spaces

Ta Cong Son, Dang Hung Thang and Le Van Dung

Statistics & Probability Letters, 2012, vol. 82, issue 11, 1978-1985

Abstract: We obtain the rate of complete convergence for maximums of moving average sums of martingale difference fields in p-uniformly smooth Banach spaces, and extend Marcinkiewicz–Zygmund strong laws. Our results extend the results of Gut and Stadtmüller (2009), Quang and Huan (2009), Dung and Tien (2010) and some other ones.

Keywords: Complete convergence; Marcinkiewicz–Zygmund strong laws of larger numbers; p-uniformly smooth Banach spaces; Martingale difference fields (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1016/j.spl.2012.06.014

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