Exact laws of large numbers for k-th order statistics from the asymmetrical Cauchy distribution.

The laws of large numbers are studied from the arrays of asymmetrical Cauchy random variables. Some exact laws of large numbers are obtained for the k-th order statistics, including a weak law and a strong law. It turns out that the weak law cannot extend to a strong law. Our results extend some existing works for independent and dependent cases. [ABSTRACT FROM AUTHOR]