| Limiting Behavior of Delayed Sums of $\varphi$-Mixing under a Non-Identical Distribution Setup |
| Received:July 13, 2006 Revised:November 22, 2007 |
| Key Words:
stable distribution laws of the iterated logarithm delayed sum integral test.
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| Fund Project:the National Natural Science Foundation of China (No.60574002). |
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| Abstract: |
| We present an integral test to determine the limiting behavior of delayed sums under a non-identical distribution setup for $\varphi$-mixing sequence, and deduce Chover-type laws of the iterated logarithm for them. These complement and extend the results of Vasudeva and Divanji$^{[1]}$ and Chen et al.$^{[2]}$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2008.03.024 |
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