Acta mathematica scientia,Series B
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Gan Shixin; Chen Pingyan
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Abstract:
Let {Xni, 1≤ n,i<∞} be an array of rowwise NA random variables and {an,n≥1} a sequence of constants with 0n↑∞. The limiting behavior of maximum partial sums $\frac{1}{a_n}\max\limits_{1\leq k\leq n}|\sum\limits^k_{i=1}X_{ni}|$ is investigated and some new results are obtained. The results extend and improve the corresponding theorems of rowwise independent random variable arrays by Hu and Taylor [1] and Hu and Chang [2].
Key words: NA random variable, maximum partial sum, complete convergence, convergence in probability
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Gan Shixin; Chen Pingyan. ON THE LIMITING BEHAVIOR OF THE MAXIMUM PARTIAL SUMS FOR ARRAYS OF ROWWISE NA RANDOM VARIABLES[J].Acta mathematica scientia,Series B, 2007, 27(2): 283-290.
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URL: http://121.43.60.238/sxwlxbB/EN/10.1016/S0252-9602(07)60027-7
http://121.43.60.238/sxwlxbB/EN/Y2007/V27/I2/283
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