Abstract
We generalize the Cauchy distribution so that we can have asymmetrical
tails. This allows us to obtain unusual laws of large numbers involving weighted sums of these random variables. Unusual in the sense that even though in every case E|X|=∞, we can still obtain a nonzero limit for these weighted sums.
Subject
Applied Mathematics,Modeling and Simulation,Statistics and Probability
Reference1 articles.
1. Springer Texts in Statistics,1997
Cited by
6 articles.
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