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Research Article

ScienceAsia 26 (2000) : 033-038 |doi: 10.2306/scienceasia1513-1874.2000.26.033

 

The Weak Law of Large Numbers and the Accompanying Distribution Function of Random Sums

K Neammanee


ABSTRACT: In this paper, we give necessary and sufficient conditions for random sums satisfying the weak law of large numbers and give conditions for convergence of random sums. The random variables considered in this paper are not to have finite variance.

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Department of Mathematics, Chulalongkorn University, Bangkok 10330, Thailand.

Received 19 Jul 1999, Accepted 18 Jan 2000