Abstract
Abstract We prove Strassen's law of the iterated logarithm for sums (Formula presented.) where f is a smooth periodic function on the real line and (Formula presented.) is an increasing random sequence. Our results show that classical results of the theory of lacunary series remain valid for sequences with random gaps, even in the nonharmonic case and if the Hadamard gap condition fails.
Original language | English |
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Pages (from-to) | 150-161 |
Number of pages | 12 |
Journal | Acta Mathematica Hungarica |
Volume | 144 |
Issue number | 1 |
Early online date | 20 Jun 2014 |
DOIs | |
Publication status | Published - Oct 2014 |