Mathematical Problems in Engineering
Volume 7 (2001), Issue 1, Pages 87-95
doi:10.1155/S1024123X01001545
Abstract
A new form of the strong law of large numbers for dependent vector sequences using the “double averaged” correlation function is presented. The suggested theorem generalizes the well-known Cramer–Lidbetter's theorem and states more general conditions for fulfilling the strong law of large numbers within the class of vector random processes generated by a non stationary stable forming filters with an absolutely integrable impulse function.