The strong law of large numbers for dependent vector processes with decreasing correlation: “Double averaging concept”

Alex S. Poznyak

Mathematical Problems in Engineering, 2001, vol. 7, 1-9

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:363018

DOI: 10.1155/S1024123X01001545

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