# THE INVARIANCE PRINCIPLE FOR RANDOM SUMS OF A DOUBLE RANDOM SEQUENCE

• Gao, Zhenlong (School of Mathematical Sciences Qufu Normal University) ;
• Fang, Liang (College of Mathematic and Computer Sciences Changsha University of Science and Technology, College of Mathematic and Computer Sciences Hunan Normal University)
• Published : 2013.09.30
• 101 7

#### Abstract

In this paper, we extend Donsker's invariance principle to the case of random partial sums processes based on a double sequence of row-wise i.i.d. random variables.

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