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

Ta, Cong Son Dang, Hung Thang 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 Chi tiết xin mời tham khảo tại http://repository.vnu.edu.vn/handle/VNU_123/32336   Title:  The Brunk-Prokhorov strong law of large numbers for fields of martingale differences taking values in a Banach space Authors:  Ta, Cong Son Dang, Hung Thang Keywords:  p-uniformly smooth Banach spaces;Field of martingale differences;Strong law of large numbers Issue Date:  2013 Publisher:  ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS Description:  STATISTICS & PROBABILITY LETTERS Volume: 83 Issue: 8 Pages: 1901-1910 Published: AUG 2013 ; TNS07223 URI:  http://www.sciencedirect.com/science/article/pii/S0167715213001442 http://repository.vnu.edu.vn...