The Brunk–Prokhorov strong law of large numbers for fields of martingale differences taking values in a Banach space

Ta Cong Son and Dang Hung Thang

Statistics & Probability Letters, 2013, vol. 83, issue 8, 1901-1910

Abstract: In this paper, we define a new type of fields of martingale differences taking values in Banach spaces and establish the Brunk–Prokhorov strong laws of large numbers and the convergence rate in the strong laws of large numbers for such fields.

Keywords: p-uniformly smooth Banach spaces; Field of martingale differences; Strong law of large numbers (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1016/j.spl.2013.04.023

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