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On complete convergence for arrays of rowwise -negatively associated random variables

✍ Scribed by Tien-Chung Hu; Chen-Yu Chiang; Robert L. Taylor

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
257 KB
Volume
71
Category
Article
ISSN
0362-546X

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Let mlzk be a median of X,, and put S, = X,, + + X , + . . . +Xnkrt-A,, where {A,, n= 1, 2, . . .} is a sequence of constants. S, and X,, are subject to F, and F,,, respectively. The problem is the existence of a non-defective limit distribution for {Fn, n = 1, 2, . . .} in the sence of weak conver