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An Exact Weak Law of Large Numbers
by André Adler  

Vol. 7 No. 3 (2012) P.417~P.422

ABSTRACT

This paper explores a Weighted Exact Weak Law, where the classical Weak Law fails and the corresponding Strong Law also fails. This type of result comes from the Fair Games problem and is associated with the St Petersburg Game.


KEYWORDS
Almost sure convergence, weak law of large numbers, strong law of large numbers, exact laws

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 60F05, 60F15

MILESTONES

Received: 2009-07-07
Revised : 2011-03-15
Accepted: 2011-03-15


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