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Complete Convergence and laws of large Numbers for Arrays of B-Valued Random Elements

Liang Hanying; Xuc Zhanao(Department of Statistics and Finance, University of Solence and Technology, hefei 230026,Henan Normal University, Xinxiang 453002)Niu Sili(Department of Basic Courses, Henan Mechanic and Electric Engineering College, Xinxing 453  
We obtain general results of complete convergence for array4 of rowwise independent random elements in a separable Banach space which are stochastically bounded by a positive random variable and discuss some convergence results for the sequence of weighted sums ofthe form Some results in [5], [6]are improved and extended. Meanwhile, Wediscuss the equivalence of the complete convergence and the properties Banach Space of type pas well. Some results in [14], [15]are further improved.
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