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
Research Article | Open Access
Laws of Large Numbers for Asymmetrical Cauchy Random Variables
Received16 Aug 2006
Accepted20 Nov 2006
Published08 Jan 2007
References
Y. S. Chow and H. Teicher, Probability Theory. Independence, Interchangeability, Martingales, Springer Texts in Statistics, Springer, New York, NY, USA, 3rd edition, 1997.
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Copyright
Copyright © 2007 André Adler. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.