Summary
It is shown that functional iterated logarithm (log log) laws for geometric subsequences imply the corresponding laws for full sequences, and that the converse is not true. The implication is proved by simple algebraic arguments of regular variation type.
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Supported in part by a NATO grant for international collaboration in research
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Vervaat, W. Transformations in functional iterated logarithm laws and regular variation. Probab. Th. Rel. Fields 87, 121–128 (1990). https://doi.org/10.1007/BF01217749
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DOI: https://doi.org/10.1007/BF01217749