Laws of Large Numbers for Asymmetrical Cauchy Random Variables

Author:

Adler André

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Reference1 articles.

1. Springer Texts in Statistics,1997

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