Abstract
We establish strong limsup theorems related to the law of the iterated logarithm (LIL) for finite dimensional Gaussian random fields by using the second Borel-Cantelli lemma.
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Supported by KRF-2003-C00098.
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Choi, Y.K. Limsup results and LIL for finite dimensional Gaussian random fields. Acta Math Hung 116, 105–120 (2007). https://doi.org/10.1007/s10474-007-6005-x
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DOI: https://doi.org/10.1007/s10474-007-6005-x
Key words and phrases
- Gaussian random field
- regularly varying function
- second Borel-Cantelli lemma
- large deviation probability