The strong law of large numbers for dependent vector processes with decreasing correlation: Double averaging concept
<p> 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 f...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2001-01-01
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| Series: | Mathematical Problems in Engineering |
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| Online Access: | http://www.hindawi.net/access/get.aspx?journal=mpe&volume=7&pii=S1024123X01001545 |
| Summary: | <p> 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.</p> |
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| ISSN: | 1024-123X 1563-5147 |