Acta mathematica scientia, Series B >
ON THE LIMITING BEHAVIOR OF THE MAXIMUM PARTIAL SUMS FOR ARRAYS OF ROWWISE NA RANDOM VARIABLES
Received date: 2004-02-10
Revised date: 1900-01-01
Online published: 2007-04-20
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].
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 . DOI: 10.1016/S0252-9602(07)60027-7
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